Find the hypotenuse use simplest radical form if necessary

Find The Hypotenuse Use Simplest Radical Form If Necessary

Answers

Answer 1

As a result, according to Pythagoras' Theorem, the third side, or hypotenuse, has a value of 8 units, whereas the other two sides are 6 and 7.

what is Pythagoras' Theorem ?

The Pythagorean Theorem, often known as the Pythagorean Theorem, is the fundamental Euclidean geometry relationship between the three sides of a right triangle. The area of a square with the hypotenuse side equals the sum of the areas of squares with the other two sides, according to this rule. The Pythagorean Theorem says that the square that spans a right triangle's hypotenuse opposite the right angle equals the sum of the squares that span its sides. It is sometimes written as the generic algebraic notation a2 + b2 = c2.

given

x2 = a2 + b2

x2 = 6*6 + 28

x2 = 36 + 28

x2 = 64

x = 8

As a result, according to Pythagoras' Theorem, the third side, or hypotenuse, has a value of 8 units, whereas the other two sides are 6 and 7.

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Related Questions

Use the point in the graph to find the equation of the line in point-slope form

A

y-3=5(x-1)


B

y+3=5(x+1)


C

y+3=5(x-1)

D

y-3=5(x+1)

Answers

Answer: the correct answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The equation of the graph in the slope intercept form is

y = 5x -2

The slope is 5.  If you start at the y-intercept (0, -2) and go up 5 and 1 to the right you will be at the red point (1,4).  The slope is the rise over the run.

[tex]\frac{5}{1}[/tex] = 5.  

The y -intercept is where the line crossed the y axis (0,-2)

The y intercept is -2

A

y - 3 = 5x - 5  Add 3 to both sides

y - 3 + 3 = 5x - 5 + 3

y = 5x -2

What is the solution to the following inequality

-8 < 4( 8 - 2x) ?

Answers

Answer:

X < 5, or 5 > X

Step-by-step explanation:

Open up the parenthesis on the left side

-8 < 32 - 8x

Isolate -8x

- 8 - 32 < -8x
We can rewrite the inequality to make it easier to solve

-8x > -8 - 32

-8x > -40

Now solve for X, keep in mind you must switch the inequality sign when dividing by negatives

x < 5

Discuss the position of the Anti-Federalists related to ratification of the Constitution. Use facts.

Answers

The anti-federalist assumed that using the constitution will increase the oppression of the people by those in power but regardless, the constitution was ratified

What is Anti-Federalist

The Anti-Federalists were a group of individuals who opposed the ratification of the Constitution. They believed that the Constitution granted too much power to the central government and did not adequately protect the rights of individual states and citizens. They argued that the Constitution should include a bill of rights to safeguard individual liberties and that the government should be more closely modeled after the Articles of Confederation. Additionally, some Anti-Federalists believed that the Constitution would lead to the rise of an aristocracy and the oppression of the common people. Despite their opposition, the Constitution was ultimately ratified in 1788 with the support of Federalists.

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Out of a cla of 24 tudent, 7/14 of the total tudent were
choen for drill, 4/16 of the total tudent were choen for variou race, 1/6 of the total
took part in gymnatic. The ret of them did not attend the Sport Day. I) How many tudent did not attend the Sport Day?

Answers

2 students did not attend the Sports Day.

In mathematics, a fraction is used to denote a portion or component of the total. It stands for the proportionate pieces of the whole. The numerator and denominator are the two components that make up a fraction.

Given that,

Total number of students in a class = 24

Total number of students chosen for drills = 7/14 = 7/14 *24 = 12

Total number of students chosen for various races = 4/16 = 4/16 *24 = 6

Total number of students chosen for gymnastics= 1/6= 1/6* 24 = 4

Thus, the Total number of students participating in sports day = 12+6+4 = 22

Hence, the Total number of students that did not attend sports day= 24 - 22 = 2

Therefore, 2 students did not attend the Sports Day

Correct question: Out of a class of 24 students, 7/14 of the total students were chosen for drills, 4/16 of the total students were chosen for various races, and 1/6 of the total took part in gymnastics. The rest of them did not attend the Sports Day.

i) How many students did not attend the Sports Day?

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Paula is 10 less than thrice Kaye's age. Two years from now, Paula's age is twice Kaye's present age. How old is Kaye now?
( Please show solution )

Answers

Answer: Kaye is 4 years old

Step-by-step explanation:

Paula is 10 less than thrice of Kaye's age. two years from now, Paula's age is twice Kaye's present age. how old is Kaye now?  Let Kaye's age now be x years Paula is 10 less than thrice of Kaye's age =3x-10   TWO YEARS LATER  Paula,s age = (3x-10)+2 = 3x-8 3x-8 =x 2x=8 x=4  Kaya,s age = 4 years

you select a sample of 30 scores from a population of 1,000 scores. you compute the mode, median, and mean on the sample of 30 scores. you then select another sample of 30 scores from the same population. what measure of central tendency is likely to vary least between your first and second samples

Answers

The measure of central tendency that is likely to vary least between the first and second samples of 30 scores is the median.

The median is less affected by outliers and variations in the sample compared to the mean and mode, making it less likely to vary between samples.

The median is a measure of central tendency that represents the middle value of a dataset when it is ordered by value. It is a robust statistic, which means that it is not easily affected by outliers or variations in the sample. This is because the median only looks at the middle value of a dataset, and does not take into account the values of the entire dataset, unlike the mean.

The mode, on the other hand, is the value that appears most frequently in a dataset. It is affected by variations in the sample because it is based on the frequency of values. A different sample of the same population may have a different distribution of values, resulting in a different mode.

The mean is the sum of all the values in a dataset divided by the number of values. It is affected by outliers, as a single large or small value can greatly affect the mean. In small samples, the mean can be affected by small variations in the sample.

In conclusion, since the median is based only on middle value of the sample, it is less affected by variations in the sample and outliers, making it less likely to vary between samples.

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does anyone know this question ?? please help

Answers

Answer:

Step-by-step explanation:

the 3rd

Find the sum of the measures of the interior angles of a convex nonagon.

The sum of the measures of the interior angles is ?

Answers

answer

7π radians

steps

non in nonagon means 9

nonagon has 9 sides

convex means each angle is less than 180°

sum of interior angles convex N -sided polygon =

π(N −2) radians

π(9 −2) radians

7π radians

socratic

wikipedia

cuemath

mathworldwolfram

oxfordlanguages

Answer:

7πradians

Step-by-step explanation:

non in nonagon means 9

nonagon has 9 sides

convex means each angle is less than 180°

sum of interior angles convex N-sided polygon=

π(N-2) radians

π(9-2) radians=

7πradians

What is the Sin(B)? need help! Thanks

Answers

What do you need to round it to?

Drag the red and blue dots along the x-axis and y-axis to graph
3x+8y=27

Answers

Answer:

Hope this helps you

Step-by-step explanation:

3x+8y=27   (0,9) .... look at picutre

If f(x)=x is the parent graph, then which equation represents the shown transformation?

Answers

y-axis 6 5 4 3 2 1 x=ax S 4 -3 2  -1 1 2 3 4 5 6 -1 -2.    

What is transformation?It refers to the act, process, or instance of transforming or being transformed. Regarding transformative learning, Mezirow indicates learning occurs when there is a transformation in one of our beliefs or attitudes, or a change of our entire perspective. Learn more in: Connecting Teachers' Dispositions With Their Teaching Philosophies2.A process of change and development. When it refers to human transformation, it implies an internal change and growth to one’s highest potential or best oneself, which affects one’s worldview, behaviors, and thought. Learn more in: Two Languages, One Self: The Story of My Bilingual Journey3.In general it is a result of an effect of environment that changes an object. In everyday practice it is a set of actions that change the state or properties of different materials, goods, services or knowledge. Learn more in: Instructional Technologies of the XXI Century: Theoretical Approach

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A transformation modifies the parent function's graph.

What is meant by Transformations?

The graph of a parent function is changed by a transformation. Transformations come in three different flavors: translations, reflections, and dilations.

A point, line, or geometric object can be changed in four different ways that are all collectively referred to as transformations. The pre-image is the shape of the object as it was originally, and the transformed shape of the object is termed the image.

Making pictures or replicas of an object is part of transformation geometry. You are introduced to transformation geometry in grade 9 through the use of translation, reflection, dilation, and rotation.

The foundation of the problem transformation approach is the notion that, if we are unable to address the given problem directly, we will move it to a setting where we can do so. The method's fundamental component is how the problem is broken down into smaller tasks.

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Do the side lengths 9 12 and 15 form a right triangle?

Answers

The sides of lengths 9, 12 and 15 will form right angled triangle with 15 as hypotenuse.

We can check if the mentioned side form right angled triangle or not by checking the values through Pythagoras theorem. The hypotenuse will be 15 from mentioned sides, as it is longest. Now, writing the Pythagoras theorem.

Hypotenuse² = Perpendicular² + Base²

15² = 9² + 12²

Taking square on the right and left hand side of the triangle

225 = 81 + 144

Performing addition on Right Hand Side of the triangle

225 = 225

Since both sides of equation are equal, hence, right angled triangle can be formed.

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12 sodas for 3.24 find the unit rate

Answers

Answer:

Step-by-step explanation:

0.27 is the answer

question is in picture below

Answers

Answer:

C

Step-by-step explanation:

[tex]-12<4x \leq 8 \\ \\ -3<x \leq 2[/tex]

Answer:

[C] x > -3 and x ≤ 2

Step-by-step explanation:

[tex]\mathrm{Given:}-9 < 4x+3\leq 11[/tex]

[tex]\mathrm{{If}\:a < u\le \:b\:\mathrm{then}\:a < u\quad \mathrm{and}\quad \:u\le \:b}[/tex]

[tex]-9 < 4x+3\quad \mathrm{and}\quad \:4x+3\le \:11[/tex]

[tex]\mathrm{solving\;the\;first\;one}:-9 < 4x+3[/tex]

[tex]\mathrm{Switch\:sides}[/tex]

[tex]4x+3 > -9[/tex]

[tex]\mathrm{subtract\;3\;from\;both\;sides}:\\4x > -12[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4x}{4} > \frac{-12}{4}[/tex]

[tex]x > -3[/tex]

[tex]\mathrm{Now\;with\;the\;second\;one}:4x+3\le \:11[/tex]

[tex]\mathrm{subtract\;3\;from\;both\;sides}:\\4x\le \:8[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]

[tex]\frac{4x}{4}\le \frac{8}{4}[/tex]

[tex]x\le \:2[/tex]

Therefore, the answer is [C] x > -3 and x ≤ 2

RevyBreeze~

A student uses 4 cup of peanuts to make 3 cups of
Trail Mix. Using this same proportion, how many cups of
peanuts are needed to make 5 cups of Trail Mix?

Answer quickly I gotta finish my work asap

Answers

Answer:

6 [tex]\frac{2}{3}[/tex] cups

Step-by-step explanation:

we can set up a proportion:

[tex]\frac{4}{3}[/tex] = [tex]\frac{t}{5}[/tex]     't' equals the number of cups of peanuts to make 5 cups trail mix

now we can cross-multiply to get:

3t = 20

t = 20/3 or 6 2/3 cups

Are there 360 or 361 longitudes?

Answers

There are 360 longitudes. Longitudes are imaginary lines that run vertically around the earth and measure distance east or west of the Prime Meridian.

There are a total of 360 longitudes, which are divided into 180 degrees east and 180 degrees west.

Longitudes are imaginary lines that run vertically around the earth and measure distance east or west of the Prime Meridian. This Prime Meridian is the reference point which divides the planet into two equal halves. There are a total of 360 longitudes, which are divided into 180 degrees east and 180 degrees west. The longitudes are also referred to as meridians and they are used to measure the exact location of any place on the earth's surface. This helps in navigation and also in mapping the world. Each meridian is assigned a numerical value, ranging from 0 degrees at the Prime Meridian to 180 degrees at the International Date Line. The longitudes are also used to calculate time zones, with 15 degrees representing one hour of time difference. Therefore, the total number of longitudes will always remain 360, no matter the size of the earth.

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Your friend Tammy just got a part-time job so she can afford to attend a school trip abroad later this school year. Tammy gets a paycheck on the 1st of every month, and a cash payment is due to the International Club advisor by the 3rd of every month with no exceptions. More than one late payment results in being removed from the trip. What recommendation do you have for Tammy?

Answers

I recommend that Tammy create a budget to keep track of her income and expenses. She should also set up automatic payments for her International Club advisor so she doesn't miss any payments. Additionally, Tammy should create a savings plan for the trip to make sure she has enough money for it. Finally, she should start the habit of setting aside money from each paycheck for the trip, so she has a consistent source of funds when she needs them.

A 10 1/2 -inch candle burns down in 6 hours. At what rate does the candle burn, in inches per hour?

Answers

Answer:

1 [tex]\frac{3}{4}[/tex] inches per hour

Step-by-step explanation:

10 [tex]\frac{1}{6}[/tex] ÷ 6

10.5 ÷ 6 = 1.75

1.75 is the same as 1 [tex]\frac{3}{4}[/tex]

How do i make a study guide for graphing and functions HELP

Answers

Can you be a little more specific?

Does 8cm 15cm and 17cm form a right triangle?

Answers

Answer:

No, the sides of a right triangle must obey the Pythagorean theorem, which states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, 8^2 + 15^2 = 64 + 225 = 289, which is not equal to 17^2 = 289. Therefore, 8cm, 15cm, and 17cm do not form a right triangle.

Step-by-step explanation:

Find the zeros of the polynomial: x 3+2x 2−x−2A1,−1,−2B1,3,7C1,−2,4DNone of these

Answers

The zeros of the polynomial x3 + 2x2 - x - 2 are -1, -2 and 4.

The given polynomial is x3 + 2x2 - x - 2. To find the zeros of this polynomial, we need to solve the equation x3 + 2x2 - x - 2 = 0.

Rewrite the equation as x3 + 2x2 - x - 2 = 0.

Factor the equation.

Set each factor equal to zero and solve for x.

(x + 2)(x2 - x - 1) = 0

x + 2 = 0

x = -2

(x2 - x - 1) = 0

x2 - x - 1 = 0

x2 - 1x - 1 = 0

Apply the quadratic formula to solve for x.

x = [-b ± √(b2 - 4ac)] / 2a

x = [(-1) ± √(1 - 4*1*(-1))] / 2*1

x = [(-1) ± √(5)] / 2

x = [-1 ± √5] / 2

x = [(-1 + √5) / 2] and [(−1 - √5) / 2]

Simplify the solutions and find the zeros of the polynomial.

x = (-1 + √5) / 2  and x = (-1 - √5) / 2

Therefore, the zeros of the polynomial x3 + 2x2 - x - 2 are -1, -2 and 4.

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What is the new substitution rule?

Answers

The new substitution rule states teams will be able to make five substitutes instead of the traditional three during each match.

Teams have decided to allow more substitutions after voting in favor of the change. Teams will now be permitted to use five substitutions instead of the customary three throughout each game starting in the 2022/2023 season.

The primary motivation for this choice is to lessen the negative impacts of increased match intensity and fixture congestion, which are thought to have a direct influence on player health and well-being. Over time, it will become clear how an increase in substitutes would affect player health and happiness.

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Which addition would MOST likely improve the effectiveness of the advertisement?
a picture of the pillow
a personal quote from someone who has used the pillow
research that verifies the number of people who preferred the pillow
a consumer safety rating

Answers

Answer:

Research that verifies the number of people who preferred the pillow.

Sorry, if I'm wrong.

What is the value of x? round to the nearest tenth, if necessary. responses x = 4 x, = 4 x = 5 x, = 5 x = 6.2 x, = 6.2 x = 9.4

Answers

By Using Pythagorean Theorem, the value of x is 6.2 units.

Pythagorean Theorem:

In mathematics, the Pythagorean Theorem or Pythagorean Theorem is the fundamental relationship in Euclidean geometry between the three sides of a right triangle. It states that the area of ​​a square whose side is the hypotenuse (opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation for the lengths of sides a, b and hypotenuse c and is often called the Pythagorean equation.

                              a² +b² =c²

Now,

By using the Pythagorean theorem:

Hypotenuse² =  Perpendicular² + Base²

Now,

In the Δ ABD

As given

DB² = DA² + AB²

As given

DB = 13 units

AB = 9 units

Putting values in the above

13² = 9²+ DA²

169 - 81 = DA²

88 = DA²

Now,

In ΔABC

AB² = AC² + CB²

(As given AB = 9 units , CB = x)

9² = AC² + x²

AC ² = 81 - x²

Now in ΔADC.

AD² = AC² + DC ²

As

AC ² = 81 - x²

DC = 13 - x

AD = [tex]\sqrt{88}[/tex]

(√88)² = 81 -x² +( 13 - x²)

By using the formula (a + b)² = a² + b² + 2ab

    88 = 81 - x² + 13²- 2 × 13 × x + ²

⇒ 88 = 81 - x² + 13² - 26x + x²

⇒ 88-81 - 169 = -26x

⇒ 88-250 =-26x

⇒ -162 = - 26x

x = 6.2 (Approx.)

Therefore the value of x is 6.2 units.

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Someone please answer this for me!

Answers

the answer is 22 only because I said so and that mean I’m right

Farmer Dubble started with 87 elentires on
his farm. Every month, he exploded 5 more
of them. Farmer Gespil started with 13
elentires on her farm. Every month, she got
8 more of them.
Write a system of equations, in
slope-intercept form, to model each
farmer's elentires (y) as months (x)
increase.

Answers

The equations in the slope intercept form are,

                     y = -5x + 87

                    y = 8x + 13

What is slope intercept form?

The equation of the line can be written in different ways. One of the methods of writing equations of a line is slope intercept form.

The line with m as the slope, and c as the y-intercept is the graph of the linear equation y = mx + c. This form of linear equation is known as slope intercept form. The values of m and c are real integers in the slope-intercept form of the linear equation.

The slope, m, is a measure of how steep a line is. A line's y-intercept, c, denotes the y-coordinate of the location where the line's graph crosses the y-axis.

For farmer Dubble,

      Number of elentires in beginning c = 87

      Number of elentires destroyed every month m = -5

     Linear equation in slope intercept form

              y = -5x + 87

For farmer Gespil,

      Number of elentires in beginning c = 13

      Number of elentires bought every month m = 8

     Linear equation in slope intercept form

           y = 8x + 13

Therefore the system of equations in slope intercept form  are,

    y = -5x + 87

    y = 8x + 13

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helppp pls ive been here ages

Answers

The final velocity in the given equation is −0.5, when the acceleration is -5.

What is velocity?

The distance covered by a body in one unit of time in a specific direction is referred to as velocity. M/s is always the only metric unit of velocity.

Speed and velocity are different in that:

i) velocity is a vector quantity, meanwhile speed is a scalar quantity.ii) Speed is always positive, in contrast to velocity, which can be either positive or negative.iii) The difference between velocity and speed is the amount of distance covered in a given amount of time when moving in a specific direction.

v = u + at

here,

a = average acceleration

v = final velocity

u = initial velocity

t = time

given,  u = 2

a = -5

t = 1/2 = 0.5

putting the values

v = 2 + (-5)(0.5)

v = 2 - 2.5

v = −0.5

Thus, The final velocity in the given equation is −0.5, when the acceleration is -5.

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Gabriel earns $11.25 per hour at his job. He also receives a bonus of $20 each week if he arrives on time for each of his shifts. Assuming Gabriel is always on time, and x is the number of hours he works, which rule for f(x) models his weekly paycheck?

Answers

his pay check equation will be f(x) = 11.25x + 20

Josiah's monthly bank statement showed the following deposits and withdrawals: $94.57, -−$87.78, -−$16.36, -−$64.92, $10.73 If Josiah's balance in the account was $62.72 at the beginning of the month, what was the account balance at the end of the month?

Answers

The account balance at the end of the month is $-1.04.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Josiah's monthly bank statement showed the following deposits and withdrawals: $94.57, -−$87.78, -−$16.36, -−$64.92, $10.73 If Josiah's balance in the account was $62.72 at the beginning of the month.

The balance after the end of the withdrawal and deposits will be,

Account balance = $62.72 + $94.57−$87.78−$16.36−$64.92 + $10.73

Account balance = $-1.04

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the toll on a highway us based on the miles driven. If the toll in a 15-mile stretch on a highway is $0.60. find the cost to drive a 80-mile stretch

Answers

Answer: $3.20

Step-by-step explanation:

We have

15-mile stretch = $0.60

80-mile stretch = x

Cross Multiply

15 × x = 80 × $0.60

x = 80 × $0.60/15

x = $3.20

Hence, the cost to drive an 80-mile stretch is $3.20

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