Find the length of PF

Answer:

313.6 sqft.

Step-by-step explanation

Decimal

First, convert the fractions into decimals to make it easier to multiply. 24 1/2 = 24.5. 12 4/5 = 12.8. 24.5*12.8 = 316.6.

Fraction

First, make the fractions into improper fractions. 24 1/2 = 49/2. = 12 4/5 = 64/5. 49/2*64/5 = 313 3/5 = 313 6/10 = 313.6.

Answer: 33

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.

Answer:

  A, B: False

  C, D, E: True

Step-by-step explanation:

The angle sum theorem and the definition of a linear pair of angles can help you answer these questions.

  m = x; False. Angles m and x are a linear pair. They are supplementary (total 180°). They are only equal if they are both 90°, which is not indicated in this diagram as being the case.

__

  z = x+y; False. Angles x, y, and z total 180° according to the angle sum theorem. The equation is only true if z = 90°, which is not indicated in this diagram as being the case.

__

  m = y +z; True. This is explained by the equations of D and E, which are also both true. The theorem that expresses this relationship is, "an exterior angle is equal to the sum of the remote interior angles."

__

  m = 180° -x; True. This is exactly what we mean when we say angles m and x are a linear pair. Together, they form a straight line. The angles of a linear pair are supplementary, meaning their sum is 180°. Angle m is also called an "external angle" of the triangle.

__

x = 180° -(y +z); True. The angles of a triangle total 180° according to the angle sum theorem. That means the value of any one of them is the difference between 180° and the sum of the other two. This is effectively telling you that angle x is supplementary to the sum of angles y and z.

Above, we noted that angle x is supplementary to angle m. Angles that are supplementary to the same angle have the same measure, so ...

  m = 180° -x

  180° -x = y +z . . . . . rearrange equation E

  m = y +z

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {4}^{n} - 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {( {2}^{2}) }^{n} - 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {( {2}^{n}) }^{2} - 1} [/tex]

Now we will use this identity in denominator

[ a² - b² = (a + b)(a - b) ]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ \cancel{(2 {}^{n} - 1)}}{ {( {2}^{n} }^{} + 1) \cancel{( {2}^{n} - 1)}} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ 1}{ {( {2}^{n} }^{} + 1) } [/tex]

Answer:

[tex]\sf \dfrac{1}{2^n+1}[/tex]

Step-by-step explanation:

Given expression:

[tex]\sf \dfrac{2^n-1}{4^n-1}[/tex]

Rewrite [tex]\sf 4^n[/tex]:   [tex]\sf 4^n=(2^2)^n=2^{2n}=(2^n)^2[/tex]

Rewrite 1:  1 = 1²

[tex]\sf \implies \dfrac{2^n-1}{(2^n)^2-1^2}[/tex]

Apply difference of two square formula to the denominator

[tex]\sf a^2-b^2=(a+b)(a-b)[/tex]

[tex]\sf \implies \dfrac{2^n-1}{(2^n+1)(2^n-1)}[/tex]

Cancel out the common factor [tex]\sf 2^n-1[/tex] :

[tex]\sf \implies \dfrac{1}{2^n+1}[/tex]

Answer:

68 degrees

Step-by-step explanation:

The straight horizontal line is a straight angle with 180 degrees it is split in a way that you know under the right angle, is another right ange making up part of the 180° line, add 22 and then subtract what you get from 180 to get 68.

A simpler way, add the angles in the X and 22 degree things and there is a right angle, 90 degrees, subtract 22 from 90 and get 68

Two different ways, either will work

Hope this helps!

Angles are complementary

x is 68°

Answer:

Step-by-step explanation:

Dimensions: 1 x 1 x 36 or 12 x 3 x 1 or 9 x 4 x 1 or 9 x 2 x 2

The dimensions of a pyramid are usually described in terms of its base and height. The base of a pyramid is the polygonal shape at the bottom of the pyramid, and the height is the perpendicular distance from the base to the apex.

To find the dimensions of a pyramid with a volume of 36 cubic units, we need to use the formula for the volume of a pyramid:

Volume of a pyramid = (1/3) x Base area x Height

Let's assume that the base of the pyramid is a square with sides of length "a". Therefore, the base area of the pyramid is a x a = a^2.

Now, we can substitute the given volume of 36 cubic units into the formula:

36 = (1/3) x a^2 x h

Multiplying both sides by 3 and dividing by a^2, we get:

h = 108/a^2

So, the height of the pyramid is equal to 108 divided by the square of the length of one side of the base.

We can choose any value for "a" and calculate the corresponding value of "h" that will result in a volume of 36 cubic units.

For example, if we choose "a" to be 3 units, we get:

h = 108/3^2 = 12 units

Therefore, the dimensions of the pyramid are:

Base: 3 units x 3 units

Height: 12 units

Checking the volume using the formula, we get:

Volume of the pyramid = (1/3) x 3^2 x 12

Volume of the pyramid = 36 cubic units

So, a pyramid with a base of 3 units by 3 units and a height of 12 units would have a volume of 36 cubic units.

Learn more about dimensions of pyramid here:

https://brainly.com/question/4330143

#SPJ2

range is the highest minus the lowest

Step-by-step explanation:

so a is 599- 132 = 467

for b median is the middle number 132 and 599

so u add them then divide by 2 so the answer of b is 365.5

Answer:

8 square feet

Step-by-step explanation:

The formula of a volume of a prism:

We have

Substitute:

            divide both sides by 9

Answer:

Step-by-step explanation:

The first one is 8

The second one is 4

50% of the sixth-grade students at Madison Middle School raised more than $40

A box plot provides the summary of a data using the five number summary that is minimum, lower quartile, median, upper quartile and maximum.

From the diagram, the median is $40. Hence 50% of the student raised more than $40

Find out more on box plot at: https://brainly.com/question/14277132

Answer:

Each movie costs $15.05

Step-by-step explanation:

The price that was paid was $45.15

We know that there were 3 movies brought at the same prices.

We want to know how much each movie costs.

This is a simple division problem.

This is because the keywords "same" and also "each"

Do 45.15 divided by 3

45.15/3 = 15.05

Your answer is $15.05

You could verify by adding $15.05 three times.

$15.05 + $15.05 + $15.05 = $45.15

Therefore, Each movie costs $15.05

Answer:

$294.00

Step-by-step explanation:

Whats the gross pay before taxes?

Answer: $294.00 with overtime and everything.

Answer:

√(23)

Step-by-step explanation:

The Pythagorean Theorem is a² + b² = c²

so...

a = 7

b = 3

7² + 3² = c²

14 + 9 = c²

√(23) = c

PLEASE RATE!! I hope this helps!!

If you have any questions let me know

Answer:

Step-by-step explanation:

Answer:

10+5 =15 thanks for asking

Answer:

525 degrees

Step-by-step explanation:

Answer:

3 milkshakes will cost 0.75 cents

4 milkshakes will cost $1.00

Step-by-step explanation:

3 x 0.25 = 0.75

4 x 0.25 = 1.00

Have an amazing day!!

Please rate and mark brainliest!!

Answer: ≈ 185.73009

Step-by-step explanation:

area of square: [tex]length^{2}[/tex]

area of circle: [tex]\frac{radius^{2} * \pi }{y}[/tex]

length: 15

radius = diameter/2

radius: 5

area of square - area of circle =  area between square and circle:

[tex]15^{2} - \frac{5^{2} * \pi }{2} = 225 - \frac{25\pi}{2}[/tex] ≈ 185.73009

hope it helps!

Please mark as brainliest.

Answer:

1.274cm

Step-by-step explanation:

Answer:

A. (-5, -28)

Step-by-step explanation:

The coordinates of the vertex of the function [tex]\rm f(x) = x^2+10x-3[/tex]  is

(-5, -28).

It is given that the function  [tex]\rm f(x) = x^2+10x-3[/tex]

It is required to find the coordinates of the vertex.

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have a function:

[tex]\rm f(x) = x^2+10x-3[/tex]

This function represents a parabola.

We know the standard form of parabola in quadratic style:

[tex]\rm f(x)=ax^2+bx+c[/tex]

By comparing the given function to the standard form of parabola, we get

a = 1, b = 10, and c = -3

The vertex of the parabola is given by:

[tex]\rm x = -\frac{b}{2a}[/tex]

Putting the values in the above equation, we get:

[tex]\rm x = -\frac{10}{2\times1} \Rightarrow -5[/tex]

x = -5 put this value in the given parabola function, we get:

[tex]\rm f(-5) = (-5)^2+10(-5)-3\\\rm f(-5) = 25-50-3\\\rm f(-5) = -28[/tex]

or y = -28

The coordintes = (x, y) : (-5 , -28) which is shown in the graph.

Thus, the coordinates of the vertex of the function [tex]\rm f(x) = x^2+10x-3[/tex]  is (-5, -28).

Know more about the parabola here:

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Let's solve this inequality:-

3x<18

Divide both sides by 3:-

x<6

So numbers less than 6 will make this inequality [tex]\sf{true}[/tex].

You haven't listed any numbers, so I don't know what options you have,

Please list the numbers in the comments & I will edit my answer :)

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

The possible answers are all numbers above 6.

Step-by-step explanation:

3x>18

3x/3> 18/3

x> 6

Answer:

Shyam would be 43 years old

Step-by-step explanation:

Ram is 49 years old, since she is 3 years younger than Shyam and Krishna is 48 years old than Shyam

Answer:

144 [tex]cm^2[/tex]

Step-by-step explanation:

Answer:the answer were to your question is 4

Step-by-step explanation:

Put me on brainlyiest pls

Answer:

13.99+.75+.75=15.49

Part A ) 15.49

Part B) Anna is correct because her pizza only cost 15.49 and if you subtract 15.49 from 20 it is 14.51

Step-by-step explanation:

Answer:

it is D 63.7 × 10`2 I am not sure if it right tho

Hey there!

• QUESTION READS….

“The radius of the Earth is approximately 6,370 kilometers. What is the distance in scientific notation?”

• THE QUESTION ASKED IN EASIER WAYS

“The SPACE of Earth is about 6,370 km (kilometers). What is the length of the the Earth in scientific notation?”

• GETTING TO KNOW SCIENTIFIC NOTATION…..

It’s the writing of a number in a certain term of a product of an thing anywhere between the numbers 1 - 10 and the other thing is at the power of the number 10

• ANSWERING THE QUESTION BY DOING PROCESS OF ELIMINATION….

Option A.
637 km × 10^2 kn

= 637 km × 10 km × 10 km

= 637 km × 100 km

= 63,700 km

Option A. is incorrect because it is too big.

Option B.
6.37 km × 10^3 km
= 6.37 km × 10 km × 10 km × 10 km

= 6.37 km × 100 km × 10 km

= 6.37 km × 1,000 km

= 6,370 km

Option B. could possibly be your answer

Option C.
637 km × 10^1 km

= 637 km × 10 km

= 6,370 km

Option C. could also possibly be your answer.

Option D.
63.7 km × 10^2 km

= 63.7 km × 10 km × 10 km

= 63.7 km × 100 km

= 6,370 km

Option D. could also possibly be your answer along with B - C.

This is a tricky answer because we have MORE THAN one result.

So, we will just ELIMINATE A, C, D to make it easier.

Thus, we will say your result is:

Option B. 6.37 × 10^3 kilometers

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: 11.4%

Step-by-step explanation:

100% of your life is 57 years

?% will be 6.5 years?

this is a simple ratio problem:

57 --> 100%

6.5 ---> (6.5 x 100)/57 ≅ 11.4%

You have known the person for about 11.4% of your life.

Answer: C

Step-by-step explanation:

Khan academy

The response that contributed most to the test statistic about human resources department is C. Disagree.

It should be noted that test statistic simply means a random variable that is used in hypothesis testing.

In this case, the response that contributed most to the test statistic about human resources department is to disagree. This is because there is sufficient evidence to show that they distribution of response is different now than it was before.

Learn more about test statistic on:

https://brainly.com/question/4621112