Which of the following is not a pythagorean triplet a) 3,4,5 b) 6,8,10c) 5,12,13d) 2,3,4

Answers

Answer 1

D) 2, 3, 4 is not a pythagorean triplet.

Pythagoras theorem is in the form of;

a²+b²=c²

Applying this formula to the given options we get'

a) 3, 4, 5 is a Pythagorean triplet because 3^2 + 4^2 = 9 + 16 = 25 = 5^2

b) 6, 8, 10 is not a Pythagorean triplet because 6^2 + 8^2 = 36 + 64 = 100 = 10^2

c) 5, 12, 13 is a Pythagorean triplet because 5^2 + 12^2 = 25 + 144 = 169 = 13^2

d) 2, 3, 4 is not a Pythagorean triplet because 2^2 + 3^2 = 4 + 9 = 13 ≠ 4^2

In other words the pythagorean theorem states that in a right angled triangle, the square of the hypotenuse is the sum of the squares of the other 2 sides.

To learn more about Pythagorean theorem visit: brainly.com/question/343682

#SPJ4


Related Questions

What is the domain of f/x )= x?

Answers

The domain of f(x) = x is all real numbers. This is because the input (x) is the same as the output (f(x)).

This means that any value that is inputted into the function will result in the same value as the output, regardless of the value. The domain of the function can be expressed mathematically as:

Domain of f(x) = x = {x ∈ R}

This means that the domain of f(x) is all real numbers, as any real number put into the function will result in that same real number being outputted. For example, if x = 5, then f(x) = 5. This illustrates that the domain of f(x) = x is all real numbers.

Learn more about Domain here:

https://brainly.com/question/28135761

#SPJ4

how many different digits are used in the hexadecimal number system?

Answers

Answer:16

Step-by-step explanation:

Can anyone help me with this question?
Solve -2x^2 + 5x + 12 > or = 0

Answers

Answer: its 3.7 but you have to round.

Step-by-step explanation:

Brooo this is sooo hard please helpppo

Answers

Answer:

Step-by-step explanation:

divided by nine ;)

Is it true that the square root of a sum is equal to the sum of the square roots?

Answers

A number's square root multiplied by another number's square root does not always equal the total of these two numbers' square roots.

Why is it called sum of squares?

A statistical method called the sum of squares (SS) is used in regression analysis to determine how well the data can fit the model and how dispersed the data are. Since it is determined by adding up the squared differences, the sum of squares is how it is calculated.

A sum's square is equal to the product of its summands' squares and its double products' sums of summands in twos.

So, it is not always true that the square root of a sum is equal to the sum of the square roots.

To know more about square roots refer to:

https://brainly.com/question/428672

#SPJ4

A number's square root multiplied by another number's square root does not always equal the total of these two numbers' square roots.

Why is it called sum of squares?

In regression analysis, the sum of squares (SS), a statistical technique, is used to assess how well the data fit the model and how distributed they are. The sum of squares is used to compute it as it is obtained by combining together the squared differences.

The product of a sum's square and its double products' sums of its summands in twos is known as the summands' square. Hence, the square root of such a sum is not necessarily equal to the total of the square roots.

To know more about square roots refer to:

brainly.com/question/428672

#SPJ4

Use the data to complete this statement. Any non-integer answers should be entered as decimals, rounded to the tenths place. The mean of the data set is , and the sample proportion of numbers less than the mean is %.

Answers

The mean of the given data set is 21.7 and the sample proportion of numbers less than the mean is 60%.

Consider the given data set (in the image attached to this answer). We have to find the mean of the data set is, and the sample proportion of numbers. We have been told that any non-integer answers should be entered as decimals, rounded to the tenth place. The means is the average of any data set.

Here, mean = (20.5 +24.2 +18.3 + 1.3 +27+25.5 +21+19.8+27.3+18·4 + 20.5+17-6 +25.5 +23.4 +20.2)/15

Mean = 325.5/15 =21.7

The sample proportion of numbers less than

Mean = 9/100 * 15 %

Answer: 21.7 60%

Learn more about Mean on

https://brainly.com/question/30112112?referrer=searchResults

#SPJ4

Solve for x and graph the solution on the number line below. x−9≤ −4

Answers

Answer: x ≤ 5

Step-by-step explanation:

x - 9  -->   x + (-9)

-9 + 5 = -4

part b pls

This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Javier bought 3 bags of balloons for a party. He used 8 balloons from each bag.



Which equation can be used to determine how many balloons, b, were originally in each bag if there were 21 balloons left over?

Multiple choice question.
cross out

A)
3b−8=21

cross out

B)
8b−3=21

cross out

C)
3(b−8)=21

cross out

D)
8(b−3)=21

Part B
Determine how many balloons were originally in each bag.



__ balloon(s)

Answers

The equation which is used to determine number of balloons were originally in bag is 3(b-8)=21 and the number of balloons in each bag on?

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Based on the given conditions, formulate:  3×(b-8)=21

Reduce the greatest common factor on both sides of the equation:

b-8 =7

Rearrange unknown terms to the left side of the equation: b = 7+8

Calculate the sum or difference: b=15

The equation which is used to determine number of balloons were originally in bag is 3(b-8)=21 and the number of balloons in each bag is 15.

To learn more about equation refer the below link

https://brainly.com/question/22688504

#SPJ1

Breanna bikes 84 miles in 6 hours at a constant rate. The formula d = rt gives the relationship between distance (d), rate (r), and time (t). At what rate was Breanna biking?

Answers

Breanna was biking at a constant rate of 14 miles per hour.

What does rate means?

A rate can be defined as the speed at which something happens or changes or the amount or number of times it happens or changes in a particular period.

The formula that describes the relationship between distance (d), rate (r), and time (t) is d = rt.

Now, we will solve for r. From d = rt. Our r will equals to:

= d/t.

Now we compute the rate at which Breanna was biking.

= 84 miles/6 hours

= 14.

Read more about rate

brainly.com/question/25184007

#SPJ1

A rope of length 205 m is cut into 10 pieces of one length and 5 pieces of another
length. The total length of three of the first 10 lengths exceeds that of two the second
length by 2 m. Find the lengths of the pieces.

Answers

12 m length rope of 10 pieces and 17 m rope of 5 pieces.

What is equation with two variables?

The equation that has two variable terms and another equation is needed to solve both equations simultaneously is called equation with two variables.

What is the length of the rope pieces?

Given, total length of rope = 205 m.

The rope is cut into 10+5 = 15 pieces, in where 10 pieces rope are the same size, and the remaining 5 pieces are different size.

assume, length of first 10 piece = X m

length of last 5 piece = Y m

As per the first condition, total length of three of the first 10 length exceeds that of two the second length by 2 m.

hence, 3X - 2Y = 2

again, we know the total length = 205 m

10X + 5Y = 205

from the first equation, 3X = 2 +2Y

                                X = (2+2Y) / 3

putting the X value to the 2nd equation and we get

10(2+2Y)/3 + 5Y = 205

20+ 20Y+15Y = 615

35Y = 595

Y = 17 m

X = (2+2×17) /3 = 12 m

10 pieces of X length = 10 pieces of 12 m length

5 pieces of Y length = 5 pieces of 17 m length

10×12 = 120m

5×17 = 85m

120m + 85m = 205m

hence, verified.

To learn more about equation with two variables visit:

https://brainly.com/question/24085666

#SPJ1

What is residual value formula?

Answers

Residual=actual y value−predicted y value,ri=yi−^yi. Residual = actual y value − predicted y value , r i = y i − y i ^ . Having a negative residual means that the predicted value is too high, similarly if you have a positive residual it means that the predicted value was too low..

What Exactly Is Residual Value?

The estimated value of an asset that is fixed at the end of its useful life or lease term is its residual value, which is often referred to as salvage value. In lease agreements, the residual value is one of the lessor's main methodologies for calculating the lessee's periodic lease payments.

A good residual value is what?

Check out the Car Lease Ratings section of our Lease Kit for a complete list of high-residual vehicle brands and models.

                A car is probably not a good lease deal if the lease-end residual value is less than 50% of the MSRP (for a 36-month lease). 55% to 65% of MSRP would be a nice residual.

Learn more about  Residual Value

brainly.com/question/27864993

#SPJ4

In a certain board game, a 12-sided number cube showing numbers 1–12 is rolled. if three such number cubes are rolled, what is the probability that all three show a number 10 or larger? a. (startfraction 1 over 12 endfraction) cubed b. (startfraction 2 over 12 endfraction) cubed c. (startfraction 3 over 12 endfraction) cubed d. (startfraction 10 over 12 endfraction) cubed

Answers

The correct answer is d. (start fraction 10 over 12 end fraction) cubed

Explanation:

Probability is a measure of the likelihood of an event happening. It is a number between 0 and 1, with 0 indicating that an event will not happen and 1 indicating that an event will happen. A probability of 0.5, for example, indicates that an event has a 50% chance of happening.

Probability is usually expressed as a fraction, decimal or percentage.

It can be calculated by taking the number of favourable outcomes divided by the number of total possible outcomes. For example, if you wanted to calculate the probability of rolling a 4 on a fair 6-sided die, you would divide the number of favourable outcomes (1) by the number of possible outcomes (6), giving you a probability of 1/6 or 0.1667.

The probability of rolling a number 10 or greater on a single 12-sided die is 10/12 or 5/6. Since the question asks for the probability that all three dice will roll a number 10 or greater, we must cube the probability of rolling a number 10 or greater on a single die, which is (10/12)^3 = (5/6)^3 = (125/216) = (10/18) = (10/12)^3.

Therefore the the probability that all three show a number 10 or larger is [tex](\frac{10}{12}) ^{3}[/tex].

To learn more about Probability

visit; brainly.com/question/30034780

#SPJ4

What would happen to the graph if she saved $2.50 a week? Use the color green to represent this situation on
the graph provided. Write the equation of the line represented in the graph. Describe how the components of
the equation represent the situation.

Answers

The line's equation is y = 25x + 50.A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

What is meant by line equation?A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system. The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line. A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Wolfram MathWorld's linear.

a). I began with a $50 savings because the line's starting point is (0, 50).

b). Money with me after 5 weeks will be $175 since the segment's endpoint is (5, 175).

c).  Let y - y' = m(x - x') be the equation for the line shown in the graph.

where a point on the graph is (x', y').

And "m" represents the line's slope.

   Slope of the line =

                            m =

                            m = 25

    Since, the line passes through (0, 50),

    y - 50 = 25(x - 0)

    y = 25x + 50

    y = 25x + 50

    For x = 6,

    y = 25×6 + 50 = 200

    For x = 7,

    y = 25×7 + 50 = 225

    For x = 8,

    y = 25×8 + 50 =250

d). For x = 10 weeks,

   y = 25×10 + 50 = $300

e). For x = 15 weeks

    y = 25×15 + 50 = $425

f). For x = 50 weeks,

    y = 25×50 + 50 = $1300

g). Equation of the line is,

    y = 25x + 50

The complete question is:

The graph below shows how much money you have in savings each week. Use

this graph to answer questions (a – g).

a. According to the graph how much money did you start with in your savings?

b. How much money will you have after 5 weeks of saving?

To learn more about line equation, refer to:

https://brainly.com/question/2030026

#SPJ1

What does an r value of 0.7 mean?

Answers

According to the following interpretation, a correlation value of 0.7 between two variables denotes a significant and favorable association between them.

What is Correlation Coefficient?

Correlation coefficients demonstrate how strongly two independent variables, x and y, are connected linearly.

A linear correlation coefficient greater than zero indicates a relationship that is favorable.

A value less than zero denotes a bad relationship. To summarize, when x and y have values of 0, there is no link between them.

A statistic that describes how closely two variables' movements are related to one another is the correlation coefficient (r2).

The most widely used correlation coefficient is the Pearson product-moment correlation, which is used to detect if two variables are linearly related.

This correlation value, however, might not always be an accurate predictor of reliance in a non-linear link.

Hence, According to the following interpretation, a correlation value of 0.7 between two variables denotes a significant and favorable association between them.

learn more about Correlation Coefficient click here:

brainly.com/question/4219149

#SPJ4

12 students play on the schools basketball team 36 students play on the football team.what is the ratio of basketball players to football players

Answers


12/36=1/3 =1:3 there you go

In Problems 15-18, write each relation as a set of ordered pairs. Then
identify the domain and the range of the relation. See Objectives 1
and 2.
15.
Newspaper
USA Today
Wall Street Journal
New York
Daily Circulation
(in millions)
2.28
2.06
1.1
Los Angeles Times
0.82
Washington Post
0.70
SOURCE: Information Please Almanac
Times
Times

Answers

On solving the provided question, we can say that the domain of the following data will be domains = [  (( 2.28 , 2.06) to ( 1.18 , 0.70) ] and  [  (( 9 , 11) to ( 11 , 17) ]

what is domain?

The domain of a function is the set of possible values that it can accept. The x-values of a function like f are represented by these integers (x). A function's domain is the set of possible values on which it can be used. This set is the value that the function returns after the insertion of the x value. Y = f is the definition of a function with x as the independent variable and y as the dependent variable (x). A value of x is said to be in a function's domain if it can be successfully utilised to produce a single value of y by using the value of x.

the domain of the following data will be

domains = [  (( 2.28 , 2.06) to ( 1.18 , 0.70) ]

domains = [  (( 9 , 11) to ( 11 , 17) ]

To know more about domain visit:

https://brainly.com/question/28135761

#SPJ1

Help me find the value of Y!
ABCD is an isosceles trapezoid with legs AB and CD and base BC. If the length of AB is 7y-4, the length of BC is 4y-6, and the length of CD is 8y-18, find the value of y.
I know 2 lengths are equal and I know algebra but I just don't know where to start. Please explain it. Sorry there's no diagram

Answers

Answer:   y = 14

======================================================

Explanation:

You are correct in thinking you'll set two things equal to one another. This type of thing happens often in algebra. The question you probably have is: what two things do I set equal?

The key term is "isosceles" which tells us we have two non-parallel sides equal in this trapezoid. In other words, we ignore the parallel sides.

The non-parallel sides of a trapezoid are known as the legs.

The legs in this case are

AB = 7y-4CD = 8y-18

Set those expressions equal to one another and solve for the variable y.

AB = CD

7y-4 = 8y-18

-4+18 = 8y-7y

14 = y

y = 14 is the final answer

----------------------

Check:

AB = 7y-4 = 7*14-4 = 98-4 = 94CD = 8y-18 = 8*14-18 = 112-18 = 94

Both legs AB and CD are 94 units long to confirm this trapezoid is indeed isosceles. The answer is confirmed.

Side note: as mentioned earlier, we completely ignore BC = 4y-6. It was probably put in there as a distraction.

WILL MARK BRAINLIEST ONLY FOR TWO PARAGRAPHS+50 ppts
“The biblical account of creation is a metaphor.”
Evaluate this statement considering arguments for and against.
In your response you should:
• refer to Christian teachings
• reach a justified conclusion*
*(This is not a maths question, it is a religious studies question)

Answers

The statement "biblical account of creation is a metaphor' is a contentious one, as it challenges a traditional and fundamental belief within Christianity.

What are some argument for biblical account of creation?

One argument on how biblical account of creation is a metaphor is because it is written in a symbolic and metaphorical language. Many scholars and theologians argue that the creation story in the Bible should not be taken literally, but rather as a symbolic representation of God's power and authority.

Another argument is that the scientific evidence for the origins of the universe and the evolution of life on Earth is incompatible with the literal interpretation of the biblical account of creation. Therefore, the statement that the "biblical account of creation is a metaphor" can be seen as a way of reconciling scientific understanding with religious belief.

Read more about life creation

brainly.com/question/15812856

#SPJ1

If XP = 5x - 1 and PZ = 4x + 1, what is XZ?

Answers

By adding the two given segments, we will get:

XZ  = XP + PZ

XZ = 9x

How to find the length of XZ?

Here we have a segment called XZ, such that it has a midpoint P.

We know that:

XP = 5x - 1

PZ = 4x + 1

Notice that above we divided our segment into two smaller ones, but the first one ends at P and the second one starts at P, then we can write:

XZ  = XP + PZ

Then XZ is just the sum of the two expressions above:

XZ = 5x - 1 + 4x + 1

XZ = 9x + 1 - 1

XZ = 9x

Where x is a variable.

Learn more about segments:

https://brainly.com/question/17374569

#SPJ1

What is the simplest radical form of the expression?
(x4y7) ¾/
x³ ys √x
x²y² √√x²y²
xy² √√xy
x6 y ¹0 √y

Answers

The simplest radical form of the expression (x^4y^7)^3/4 is x^2|x|y^5[tex]\sqrt[4]{y}[/tex].

What is a radical?

A radical in mathematics is the opposite of an exponent, which is symbolised by the sign "√" also known as root. The number before the symbol or radical is regarded as an index number or degree, and it can either be a square root or a cube root.

The given expression is -

(x^4y^7)^3/4

To solve apply the exponent rule → (a·b)^n =a^nb^n

(x^4y^7)^3/4 = [(x^4)^3/4 · (y^7)^3/4]

= x^3 · y^21/4

= x^3y^21/4

=x^2|x|y^5[tex]\sqrt[4]{y}[/tex]

Therefore, the simplest radical form is x^2|x|y^5[tex]\sqrt[4]{y}[/tex].

To learn more about radical from the given link

https://brainly.com/question/738531

#SPJ1

Jamal implified the expreion StartRoot 75 x Supercript 5 Baeline y Supercript 8 Baeline EndRoot where x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0. StartRoot 75 x Supercript 5 Baeline y Supercript 8 Baeline EndRoot = StartRoot 25 time 3 time x Supercript 4 Baeline time x time y Supercript 8 Baeline EndRoot = 5 x quared y quared StartRoot 3 x EndRoot

Which decribe the error Jamal made?
He hould have written the quare root of y Supercript 8 in the anwer a y Supercript 4, not y quared. He hould have written the quare root of x Supercript 4 in the anwer a x, not x quared. He hould have written the 5 inide of the radical in the anwer. He hould have written the 3 outide of the radical in the anwer

Answers

The error Jamal made is that he should have written the square root of y Supercript 8 in the answer as y Supercript 4, not y squared. He should have written the square root of x Supercript 4 in the answer as x, not x squared. He should have written the 5 inside of the radical in the answer. He should have written the 3 outside of the radical in the answer.

Jamal was trying to simplify the expression StartRoot 75 x Supercript 5 Baeline y Supercript 8 Baeline EndRoot where x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0. He wrote his answer as 5 x quared y quared StartRoot 3 x EndRoot. However, this was incorrect because he should have written the square root of y Supercript 8 in the answer as y Supercript 4, not y squared. He should have written the square root of x Supercript 4 in the answer as x, not x squared. He should have written the 5 inside of the radical in the answer. He should have written the 3 outside of the radical in the answer. The correct answer is StartRoot 25 time 3 time x Supercript 4 Baeline time x time y Supercript 8 Baeline EndRoot = 5 x StartRoot 4 Baeline y Supercript 4 Baeline EndRoot.The error Jamal made is that he should have written the square root of y Supercript 8 in the answer as y Supercript 4, not y squared.

Learn more about error here

https://brainly.com/question/13370015

#SPJ4

Draw a histogram for each data set.
4) Age at First Job
17 15 16 16 13 18 16 17 18 17 14 16 18 22 15 16

Answers

The histogram for the data-set in this problem is given by the image presented at the end of the answer.

How to draw the histogram?

The histogram of a data-set shows the number of times that each item was observed in the data-set.

For this problem, we have that:

4 observations were between 13 and 16.11 observations were between 16 and 19.0 observations were between 19 and 22. 1 observation was between 22 and 25.

Hence the histogram is given by the image at the end of the answer.

More can be learned about histograms at https://brainly.com/question/25983327

#SPJ1

Joshua makes $12 per hour. Next monster, he will be making $14 per hour. What rate of increase does this represent? ROUND TO THE NEAREST PERCENT.

Answers

The percentage rate of increase in Joshua wages is 17%

What is rate in increase?

Rate of increase or decrease is often referred to as rate of change. Rate of change refers to how quickly something changes over time.

To calculate the rate of decrease we subtract the original value from the new value, then divide the result by the original value. Multiply the result by 100. The answer is the percent increase.

This means percentage rate in increase = (new wage - original wage )/original wage × 100

= (14-12)/12 ×100

= 2/12 ×100

= 100/6 = 17% ( nearest percent)

Therefore the percentage increase in Joshua wage is 17%

learn more about percentage increase from

https://brainly.com/question/11360390

#SPJ1

what measrment is equal to 6 kilograms

Answers

Answer:

6000000 mg

13.2277 lb

6000 g

13.2276 pounds

Step-by-step explanation:

Hopefully I am right but those are all I can find that are equal to 6 kilograms.

Last year, wind turbines along a hilly ridge had an average output of 340 kilowatt hours per year. The turbines were upgraded, and now their average annual output is 90% more. What is the new average yearly output

Answers

The required new average is 646-kilowatt hours per year,

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

here,
Last year, wind turbines along a hilly ridge had an average output of 340-kilowatt hours per year. The turbines were upgraded, and now their average annual output is 90% more.

So,
new average = 340 + 90% of 340
new average = 340 + 0.90 × 340
new average = 340 + 306 = 646 kilowatt hours per year,

Thus, the required new average is 646-kilowatt hours per year,

Learn more about percentages here:

brainly.com/question/13450942

#SPJ1

Write down a quadratic equation in the form $x^2 + bx + c = 0$ whose solutions are $x = -7$ and $x = 1. $.

Answers

Answer:

an average weight of 10student was calculated to be 75. later it was discovered thatone weight wss insread as 35 instead of 50k.g. calculate the correct average weight

Rewrite each expression as a single power of 10

Answers

The solution using laws of exponents are;

A) 10⁻⁵

B) 10³

C) 10⁻²

D) 10⁻²⁰

E) 10⁻¹

F) 10⁻¹⁴

How to use laws of exponents?

Some of the laws of exponents are;

1) Product of powers rule:

When multiplying two bases with the same value, keep the bases the same and then add the exponents together to get the solution

2) Quotient of powers rule; When trying to divide two bases of the same value, keep the base the same, and then subtract the exponent values.

3) Power of a power rule; This rule tells how to solve equations where a power is being raised by another power.

4) Power of a product rule; Whenever any base is being multiplied by an exponent, then we distribute the exponent to each part of the base.

A) 10⁻³ × 10⁻²

= 10⁻³⁻²

= 10⁻⁵

B) 10⁴ × 10⁻¹

= 10⁴⁻¹

= 10³

C) 10⁵/10⁷

= 10⁵⁻⁷

= 10⁻²

D) (10⁻⁴)⁵

= 10⁻⁴*⁵

= 10⁻²⁰

E) 10⁻³ × 10²

= 10⁻³⁺²

= 10⁻¹

F) 10⁻⁹/10⁵

= 10⁻⁹⁻⁵

= 10⁻¹⁴

Read more about Laws of Exponents at; https://brainly.com/question/11761858

#SPJ1

Solve for x . The polygons in each pair are similar

Answers

According to  quadrant geometry value of x is 7

What is quadrant in geometry?

The coordinate system's two axes, the x-axis and the y-axis, constitute a region called a quadrant. The quadrants are generated when the two axes, the x-axis and the y-axis, cross at a 90-degree angle. These areas include coordinates, or positive and negative values of the x- and y-axes.

Write a proportion using the side lengths of each similar form to locate the missing side. An equation that makes two ratios equal is called a proportion. By dividing the numerator and denominator of each fraction by two, you can find x.

4(14) = 8(-7+2x)

56 = -56 + 16x

112 = 16x

x=7

To know more about quadrant visit:-

brainly.com/question/14380402

#SPJ1

Question:

Solve for x . The polygons in each pair are similar

The sides of the triangle shown increase in such a way that
dz/dt=1, and dx/dt=3 dy/dt At the instant when x = 12 and y= 5, what is the value of dx/dt?

Answers

Therefore , the solution of pythgoras theorem is the value of is dx/dt = 0.95, when x = 12 and y =5.

What is Pythagoras theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.

Here,

It is given that -

dz/dt = 1,

dx/dt = 3(dy/dt)

⇒dy/dt = 1/3 (dx/dt)

As shown in the diagram x = base, y = perpendicular and z = hypotenuse.

According to the Pythagoras theorem -

z² = x² + y²

Differentiating both sides -

d/dt (z²) = d/dt (x² + y²)

2z dz/dt = 2x dx/dt + 2y dy/dt

z dz/dt = x dx/dt + y dy/dt

Substituting the value of  dy/dt -

z dz/dt = x dx/dt + y/3 (dx/dt)

z dz/dt = dx/dt (x + y/3)

dx/dt = (z dz/dt)/(x + y/3)....equation 1

So, when x = 12 and y = 5, the value of z -

z = √[(12)² + (5)²]

z = √(144+25)

z = √169

z = 13

Substituting the value of x, y, z and dz/dt in equation 1 -

dx/dt = (13 × 1)/(12 + 5/3)

dx/dt = 13 / 41/3

dx/dt = (13 × 3)/41

dx/dt = 39/41

dx/dt = 0.95

Therefore, the value of dx/dt = 0.95.

To learn more about Pythagoras theorem from the given link

https://brainly.in/question/185373

#SPJ1

Therefore , the solution of pythgoras theorem is the value of is dx/dt = 0.95, when x = 12 and y =5.

What is Pythagoras theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.

Here,

It is given that -

dz/dt = 1,

dx/dt = 3(dy/dt)

⇒dy/dt = 1/3 (dx/dt)

As shown in the diagram x = base, y = perpendicular and z = hypotenuse.

According to the Pythagoras theorem -

z² = x² + y²

Differentiating both sides -

d/dt (z²) = d/dt (x² + y²)

2z dz/dt = 2x dx/dt + 2y dy/dt

z dz/dt = x dx/dt + y dy/dt

Substituting the value of  dy/dt -

z dz/dt = x dx/dt + y/3 (dx/dt)

z dz/dt = dx/dt (x + y/3)

dx/dt = (z dz/dt)/(x + y/3)....equation 1

So, when x = 12 and y = 5, the value of z -

z = √[(12)² + (5)²]

z = √(144+25)

z = √169

z = 13

Substituting the value of x, y, z and dz/dt in equation 1 -

dx/dt = (13 × 1)/(12 + 5/3)

dx/dt = 13 / 41/3

dx/dt = (13 × 3)/41

dx/dt = 39/41

dx/dt = 0.95

Therefore, the value of dx/dt = 0.95.

To learn more about Pythagoras theorem from the given link

https://brainly.com/question/21926466

#SPJ1

Use the long division method to find the result when 2x³+4x2 + 7x + 5 is divided
by x + 1.

Answers

Solving the provided question, we can say that the quadratic equation  2x³+4x2 + 7x + 5 is divided by (x+1) =  -2+4-7+5 = 0

What is quadratic equation?

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

the quadratic equation

2x³+4x2 + 7x + 5 is divided by (x+1)

which means X+1 is factor

so, x = -1

2x³+4x2 + 7x + 5  = -2+4-7+5 = 0

To know more about quadratic equation visit:

https://brainly.com/question/30098550

#SPJ1

Other Questions
Thelma reasonably believes that Alice (an agent) has the authority to act on Penelope's (the principal) behalf even though Alice does not have any actual authority to do so. Thelma's belief is based on Penelope's actions and conduct. In this circumstance, Alice has: a. No authority b. Express authority c. Apparent authority d. Implied authority 9.80 1. The density of mercury is 13600 kg/m. What is this value in g/cm? 2. Find the mass of water which will fit in a large tank measuring 2 m x 1 m x 20 cm. Density of water is 1000 kg/m or 1.0 g/cm. 3. Find the volume of a lump of softwood whose mass is 120 g. Density of softwood is 0.6 gcm-3 or 600 kgm-. -3 Consider the graph of the function f(x)=2^x which statements describe key features of function g if g(x)=3f(x)?it's multiple choice, select all the correct answers:y-intercept at (0,1)y-intercept at (0,3)horizontal asymptote of y=3x-intercept at (3,0)horizontal asymptote of y=0no x-intercept As the third in command of the u.s. congress, _______ is responsible for political party discipline. Individuals who are high users of pain relieving medications are _______ to benefit from pain management programs than less frequent users. Which of the following is an example of stage direction?Group of answer choicesAct I. Morning-room in Algernon's flat in Half-Moon Street.[Lane is arranging afternoon tea on the table, and after the music has ceased, Algernon enters.]The room is luxuriously and artistically furnished. The sound of a piano is heard in the adjoining room.Algernon. Did you hear what I was playing, Lane? you are going to paint the sixth sector spinner shown.There are 4 colors to choose from. How many different ways can u paint this spinner if each color can be used more than once and there are no other restrictions On a Local Area Network, or LAN, what identification do nodes use to communicate with each other internally The amount of data collected worldwide in 2016 is about ___ zettabytes Understanding mental disorders can be valuable in almost any area of psychological work. What particular type of psychologist might benefit from knowing how to help and interact with victims and perpetrators of crimes, who sometimes develop psychological disorders please help me with this im struggling The amount of straight pipe needed to bend a given radius. Also, the actual length of the conduit that will be bent. Sectors of an economy are interdependent and are vital in measurement of economy for reason a. They evaluate the PCIb. The final goods in each sector are equal to GDPc. The sum of value of final goods and services in each sector is equal to GDPd. The value of intermediary goods and services are not required. hi can you please help me The technique called adaptive optics uses dynamic mirror motion to enhance the performance of the new generation of spaced-based telescopes. True False Compare the rockpile and the apartment in The Rockpile by James Baldwin. How are they similar? Classes that depend on field names from parent classes are said to be ____ because they are prone to errors.Group of answer choicesrobustinnovativefragileconstructive Examples OF education Curriculum What is the approximate number of minutes that avery spends in extra circular activities 6x^2-19xy-7y^2 HELP ME PLS??