Emily says she can prove the Pythagorean Theorem using the following diagram. She explains that she can divide the squares on the two shorter sides into grids with equal-sized grid squares. She says she can then rearrange the grid squares to cover the area of the square on the hypotenuse, which proves that the sum of the squares on the two shorter sides equals the square on the hypotenuse. A 3 by 3 square, a 4 by 4 square, and a 5 by 5 square, put together to form a right triangle with legs 3 and 4 and hypotenuse 5. Is this a valid geometrical proof that a2 + b2 = c2 for all right triangles? Yes, because there are 9 grid squares on one side, 16 grid squares on the other side, and 25 grid squares on the hypotenuse, and 9 + 16 = 25. Yes, because it shows that you can rearrange the squares on the shorter sides to fill up the area of the square on the larger side. No, because a proof needs to have equations in order to be valid. No, because this proof only works when you can draw grids on the squares. It does not work for all right triangles.

Answer:

x = 50º

Step-by-step explanation:

All angles in a triangle have to add up to 180º

Step-by-step explanation:

0.75

3.75

9.75

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Answer:

Webca-mtoy.com   webca-mera.io       I only know 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

12(2y+1)-18y=36  <---- Distribute 12 into 2y+1

24y+12-18y=36 <----- Subtract 24y by 18y

6y+12=36 <---- Subtract 12 from 36

6y=24  <---- Divide 6 by 24

y=4

Answer:

The greatest common factor is 7

[tex]35 + 14 = 49[/tex]

Step-by-step explanation:

Given

[tex]35 + 14 =[/tex]

Required

Apply distributive property

Express 35 as 7 * 5 and 14 as 7 * 2

[tex]35 + 14 = 7 * 5 + 7 * 2[/tex]

Apply distributive property

[tex]35 + 14 = 7 ( 5 + 2)[/tex]

The greatest common factor is 7

Solving further to get the solution

[tex]35 + 14 = 7 * 7[/tex]

[tex]35 + 14 = 49[/tex]

Answer:

7(5+2)

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Answer:

B. The lower extreme increased.

Step-by-step explanation:

From the original box and whisker plot, the lower extreme (minimum) is 5 ; The upper extreme, maximum is 15.

The number of batches baked on the eight day is 20. This exceeds tbe previous maximum value. Hence, upper extreme( maximum) value of the new plot will change from 15 to 20.

The lower extreme isn't affected as the obtained value isn't below 5.

The median value will Increase and the upper quartile value will also increase. Once the upper quartile value increases, the interquartile range will also increase

Answer:

10 x 10 = 100

6 x 6 = 36

:)

Answer:

10*10=100 | 6*6=36

Step-by-step explanation:

Well, 100/10=10

36/6=6

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

10+10+10+10+10+10+10+10+10+10=50+50=100

6+6+6+6+6+6=18+18=36

Answer:

b. 7 4/5 in

Step-by-step explanation:

First, turn 1 2/5 and 2 1/2 into decimals which would be 1.4 and 2.5. Then, multiply 1.4 by 2 and 2.5 by 2 since you have to add up all the sides of the rectangle. Then, add the products to get the perimeter of 7.8 inches. (4/5 = 0.8).

Answer:

1, 2 and 3

Step-by-step explanation:

First you must know that the coordinate of a point is expressed as (x, y) wgere

x serves as the input value (domain)

y serves as the output values

Given the coordinates (1, 4), (2, 5), (3, 6), the input values will be the values at the x coordinates of the points that is 1, 2 and 3.

Answer:

They are not similar.

Step-by-step explanation:

The angles of a triangle add up to be 180°. If they were similar, the triangle angles would have to be 60°, 40°, and 80°. Because one of the angles is 81°, the triangles cannot be similar.

81° + 40° + 60° does not equal 180.

Answer:

17

Step-by-step explanation:

6+15 =21

DB = A F

CB = A F -4

CB = 21-4 = 17

Answer:

2/3

Step-by-step explanation:

2*√3/3*√3/3

√3/3*√3/3=1/3

2*1/3=2/3

Answer:

Step-by-step explanation:

Length of each leg = hypotenuse/√2

= 7√3/√2 units

= 7√6/2 units

Answer:

5 men

Step-by-step explanation:

4m × 4h = 12

xm × 8h=36

x m = 4.5

Answer:

750.8in squared

Step-by-step explanation:

The area of a regular polygon is one-half times the length of the apothem times the perimeter.

Notice that the formula combines the areas for the six triangles that fit inside the hexagon.

The perimeter is equal to the sum of the six triangle bases and the apothem is the height of each triangle.

The interior angles of the hexagon have a measure of 120°

, so the angles at the base of the triangle (and the third angle) have measure 60°

.The height forms a 30°−60°−90°

triangle, which has one leg equal to half of the hexagon side, or 8.5 in.

, and the other leg equal to 8.53–√ in

The figure shows a regular hexagon. Each angle of the hexagon measures 120 degrees. There is a triangle inside the hexagon. The base of the triangle coincides with one of the sides of the hexagon and one of the vertices of the triangle is the center of the hexagon. The length of the apothem is 8.5 times square root of 3 inches. The angles at the base of the triangle measure 60 degrees. The angle between the apothem and the side of the triangle measures 30 degrees. The apothem divides the base of the triangle into two parts. One of the parts is 8.5 inches long.

Find the perimeter of the hexagon.

P=6(17)

Simplify.

P=102in.

The formula for the area is A=12aP

. Substitute the known values and simplify.

A=12(8.53–√)(102)

=433.53–√in2

Round to the nearest tenth as 750.8 in

Therefore, the area of the regular hexagon with side length 17in.

is A≈7508. in2

.

Answer:

[tex](b)\\\tan x, \cot x[/tex]

Step-by-step explanation:

Given

trigonometric function is

[tex]\dfrac{\cos 2x-\cos 4x}{\sin 2x+\sin 4x}[/tex]

Applying trigonometric formulae

[tex]\Rightarrow \cos C-\cos D=-\sin (\dfrac{C+D}{2})\sin (\dfrac{C-D}{2})\\\\\Rightarrow \sin C+\sin D=\sin (\dfrac{C+D}{2})\cos (\dfrac{C-D}{2})[/tex]

[tex]\Rightarrow \dfrac{\cos 2x-\cos 4x}{\sin 2x+\sin 4x}=\dfrac{2\sin 3x\cdot \sin x}{2\sin 3x\cdot \cos x}\\\\\Rightarrow \dfrac{\sin x}{\cos x}=\tan x[/tex]

option (b) is correct

[tex]\Rightarrow \dfrac{\cos 2x+\cos 4x}{\sin 2x-\sin 4x}=\dfrac{2\cos 3x\cdot \cos x}{2\cos 3x\cdot \sin (-x)}=-\cot x[/tex]

Answer:

5/12

Step-by-step explanation:

add: 3+2=5, 6+6=12. put 5 on the top 12 on the bottom

Answer:

The domain or x-values are on the horizontal axis, this is what you spend.

The range or y-values are on the vertical axis, this is your bonus.

The points to be indicated:

Plot the points and connect to make a line.

The graph is attached

Answer:

55

Step-by-step explanation:

62+63=125

180-125=55

Answer:

the width is 3

Step-by-step explanation:

Answer:

The answer for this equation is 2x⁶.

Step-by-step explanation:

In order to solve the equation, you have to Take out the Constants.

[tex] \frac{20}{10} {x}^{4} {x}^{2} [/tex]

Now you have to Simplify 20/10 to 2 because 10 divided by 20 is 2.

[tex] {2x}^{4} {x}^{2} [/tex]

And now you have to Use the product rule:

[tex] {x}^{a} {x}^{b} = {x}^{a + b} [/tex]

[tex]2x ^{4 + 2} [/tex]

and lastly, you have to simplify 4 + 2 to 6.

[tex] {2x}^{6} [/tex]

Therefor, the answer for this equation is 2x⁶.

Answer:

i have questine

Step-by-step explanation:

Answer:

$132.59 is the answer

a. 2⁵ × 2^(3) = 2^(a) is a = 8.

b. 7⁴/[tex]7^b[/tex] = 7⁻² is b = 6.

c. [tex]8^c[/tex] = 1/64 is c = - 2.

Some common rules of exponents are

[tex]{a^b}\times{a^c} = a^{b + c}[/tex].

[tex]\frac{a^b}{a^c} = a^{b - c}[/tex]

We can only add and subtract exponents only when we have the same base.

Given,

2⁵ × 2³ = [tex]2^a[/tex].

[tex]2^{5+3}[/tex]= 2^(a).

[tex]2^8[/tex] = [tex]2^a[/tex]

a = 8.

[tex]\frac{7^4}{7^b}[/tex] = [tex]7^{-2}[/tex]

[tex]7^{4-b}[/tex] = [tex]7^{-2}[/tex].

4 - b = - 2.

- b = - 6.

b = 6.

[tex]8^c[/tex] = 1/64.

[tex]8^c[/tex] = 1/[tex]8^2[/tex].

[tex]8^c[/tex] = [tex]8^{-2}[/tex]

c = - 2.

learn more about exponents here :

https://brainly.com/question/15993626

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Answer:

9.7d+4.1+5.1d-9.2

9.7d +5.1d+4.1-9.2 (take same element near)

d(9.7d +5.1) + 4.1-9.2

d(14.8) - 5.1

answer :

D −5.1+14.8d

Step-by-step explanation: