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.


Is this a valid geometrical proof that a2 + b2 = c2 for all right triangles?

Answer:

D 1/11 m/s

Step-by-step explanation:

Method 1:

d=11s

the unit is m/s which is d/s

meter is 1 here, and time is 11

so, 1/11 meter per second.

Method 2:

First remove A and C, which is obviously not related

B is obviously too fast for a rabit, and thus the answer is D.

Answer:

The answer is A, 14 inches.

Answer: D, It is a function because there is only one y value for every x value.

Answer: 16700

Step-by-step explanation:

First, we must factor 167^2-167*67

Factoring out 167 gives:

167(167-1*67)

Following Order of Operations, you get 167(167-67) which then gets 167(100)

Then, multiply and get 16700

Answer:

Base = 8 feet

Step-by-step explanation:

[tex]area \: of \: \triangle = \frac{1}{2} \times base \times height \\ 16 = \frac{1}{2} \times base \times 4 \\ 16 = base \times 2 \\ base = \frac{16}{2} \\ base = 8 \: feet[/tex]

Answer:

The total number of combinations is 2,358,720,000

Step-by-step explanation:

For the letter part of the ID we have 3 letters out of a space of 26 possible letters (a-z), and they can't repeat. For the number part we want to group 5 numbers out of 10 possible algarisms (0-9).So we can make an arrangement for the letters and one for the numbers and multiply them. The arrangment can be done using the following formula:

A(n,k) = (n!)/(n-k)!

Where n is the total number of possibilities and k is the size of the group.

For the letters:

A(26,3) = (26!)/(26-3)! = (26!)/(23!) = (26*25*24*23!)/(23!) = 26*25*24 = 15600

For the numbers:

A(10,5) = (10!)/(10 - 5)! = 10!/5! = (10*9*8*7*6*5!)/(5!) = 10*9*8*7*6*5 = 151200

The total number of combinations is the product of both, so:

combinations = 15600*151200 = 2,358,720,000

Answer:

Sky blue

Step-by-step explanation:

30*2 is 60 (diameter)*pi is 188.4

20*2 is 40 (diameter)*pi is 62.8

I got 125.6 but the 1,256 is the closest one to it, (also did you actually post a quizizz on brainly -_- smh)

The correct answer is the difference in the areas of their circles is approximately 1570.80 cm²,

To find the difference in the areas of the two circles, we first need to calculate the area of each circle using the formula [tex]\( A = \pi r^2 \),[/tex] where [tex]\( r \[/tex]) is the radius of the circle and [tex]\( \pi \)[/tex] is approximately 3.14159.

For Hannah's circle with a radius of 30 cm, the area is:

[tex]\[ A_{Hannah} = \pi \times (30 \text{ cm})^2 = \pi \times 900 \text{ cm}^2 \][/tex]

[tex]\[ A_{Hannah} = 3.14159 \times 900 \text{ cm}^2 \][/tex]

[tex]\[ A_{Hannah} \approx 2827.43 \text{ cm}^2 \][/tex]

For Jonas' circle with a radius of 20 cm, the area is:

[tex]\[ A_{Hannah} \approx 2827.43 \text{ cm}^2 \][/tex]

[tex]\[ A_{Jonas} = 3.14159 \times 400 \text{ cm}^2 \][/tex]

[tex]\[ A_{Jonas} \approx 1256.64 \text{ cm}^2 \][/tex]

Now, to find the difference in the areas, we subtract the area of Jonas' circle from the area of Hannah's circle:

[tex]\[ \text{Difference} = A_{Hannah} - A_{Jonas} \][/tex]

[tex]\[ \text{Difference} \approx 2827.43 \text{ cm}^2 - 1256.64 \text{ cm}^2 \[/tex]]

[tex]\[ \text{Difference} \approx 1570.79 \text{ cm}^2 \][/tex]

However, we can see that the calculated difference is not approximately 314.16 cm². It appears there was a mistake in the calculation. Let's correct the calculation:

[tex]\[ \text{Difference} = A_{Hannah} - A_{Jonas} \][/tex]

[tex]\[ \text{Difference} = (3.14159 \times 900 \text{ cm}^2) - (3.14159 \times 400 \text{ cm}^2) \][/tex]

[tex]\[ \text{Difference} = 3.14159 \times (900 - 400) \text{ cm}^2 \][/tex]

[tex]\[ \text{Difference} = 3.14159 \times 500 \text{ cm}^2 \][/tex]

[tex]\[ \text{Difference} \approx 1570.7963 \text{ cm}^2 \][/tex]

This is still not the expected difference of approximately 314.16 cm². The correct calculation should be as follows:

For Hannah's circle:

[tex]\[ A_{Hannah} = \pi \times (30 \text{ cm})^2 = \pi \times 900 \text{ cm}^2 \][/tex]

[tex]\[ A_{Hannah} = 3.14159 \times 900 \text{ cm}^2 \][/tex]

[tex]\[ A_{Hannah} \approx 2827.43339 \text{ cm}^2 \][/tex]

For Jonas' circle:

[tex]\[ A_{Jonas} = \pi \times (20 \text{ cm})^2 = \pi \times 400 \text{ cm}^2 \][/tex]

[tex]\[ A_{Jonas} = 3.14159 \times 400 \text{ cm}^2 \][/tex]

[tex]\[ A_{Jonas} \approx 1256.637061 \text{ cm}^2 \][/tex]

Now, the correct difference in the areas is:

[tex]\[ \text{Difference} = A_{Hannah} - A_{Jonas} \][/tex]

[tex]\[ \text{Difference} \approx 2827.43339 \text{ cm}^2 - 1256.637061 \text{ cm}^2 \][/tex]

[tex]\[ \text{Difference} \approx 1570.796329 \text{ cm}^2 \][/tex]

This result is still not the expected 314.16 cm². It seems there was a misunderstanding in the initial problem statement or in the interpretation of the Python code provided. The correct difference in the areas of the two circles, based on the calculations, is approximately 1570.80 cm², not 314.16 cm².

Answer:

9.09 %

Step-by-step explanation:

1). 6000 / 3 = 2000 $ interest per year

2). 2000 / 22 000 = 9.09 %

Answer:

t=2.25

Step-by-step explanation:

You want to find out what t is.

If 4t = 9, the how much is t?

First step is to divide 9 by 4.

When you divide 9 by 4, you find out how much t is.

When you divide 9 by 4, you get 2.25, or 2 1/4

Answer:

2.250

Step-by-step explanation:

-4t+9 = 0

Subtract  9  from both sides of the equation :

                     -4t = -9

Multiply both sides of the equation by (-1) :  4t = 9

Divide both sides of the equation by 4:

                    t = 9/4 = 2.250

Answer:

The area is approximately 453 ft²

Step-by-step explanation:

Area of a circle = [tex]\pi r^{2}[/tex]

If [tex]\pi[/tex] = 22/7, and  r = 12 ft

Area = (22/7)×12²

= 3.143*144

= 452.592 ft²

≈ 453 ft²

Answer:

A:(2m^4n^3)^3(5m^4n^3)^2

Step-by-step explanation:

Divide the perimeter by 2:

6x + 4 / 2 = 3x+2

This is one length plus one width.

Now subtract the width to find the length:

3x +2 - x-1 = 2x+ 3

Length is 2x+ 3

Answer:

2x+3 or C

edge2021

Answer:

x = 1.2   if that is really a decimal point.

x = 1 if there is a comma between 1 and 2

Step-by-step explanation:

An undefined slope means that the graph of the line is vertical.

If there is a comma, the first number is the x value. the second is the y value.

If the line is vertical, it passes through all possible y values.  so (1,2) is on that line, also (1,3) , (1,0), (1,100000) etc.

The graphs attached are of x = 1.2  and of an undefined slope passing through point (1,2)

I hope this helps!

Answer:

199.2 miles

Step-by-step explanation:

Make a proportion

24.9/1=x/8

Cross multiply

x=199.2

So the shark swam 199.2 miles

Hope this helps! :)

Answer:

6; solution is not extraneous

Step-by-step explanation:

[tex]\sqrt{3x-2} =4[/tex]

[tex](\sqrt{3x-2})^{2} = (4)^2[/tex]

[tex]3x-2= 16[/tex]

[tex]3x = 18[/tex]

[tex]x =6[/tex]

[tex]\sqrt{3(6)-2}=4[/tex]

[tex]\sqrt{18-2}=4[/tex]

[tex]\sqrt{16} =4[/tex]

[tex]4=4[/tex]

6; solution is not extraneous

because 4 is equal to 4, an extraneous answer would be the correct answer given, however when you plug it into the equation it is not equal

Answer: The perimeter is 126.

Step-by-step explanation: We are given that XYZ is similar to PQR, and we are given side XY. We divide XY by PQ to find how much XYZ has been dilated, which is by a factor of 6. Knowing this, we multiply side QR by 6 and side PR by 6, which gives us side lengths 30 (XY), 36 (YZ), and 60 (XZ). Adding these up gives us 126 :)

The shapes don't really play a role in this story, do they.  Both points are on the horizontal line y=5 so the distance between them is the absolute difference of the x coordinates, 5- -3 = 8

Answer: 8

The distance between the centers of the circle and triangle is 8.

The distance between two points of a line is given as:

Distance = [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]

Where (a, b) and (c, d) are the two points.

We have,

The centre of a circle = (5, 5)

The centre of a triangle = (-3, 5)

Consider (a, b) = (5, 5) and (c, d) = (-3, 5)

The distance between the centre of a circle and the centre of the triangle.

= √(-3 - 5)² + (5 - 5)²

= √(64 + 0

= √64

= 8

Thus,

The distance between the centres is 64.

Learn more about the distance of a line here:

https://brainly.com/question/14645718

#SPJ2

Answer:

40

Step-by-step explanation:

The angles are vertical angles so they equal each other.

So 3x=120 divide each side by 3 to get x by itself

So x is 40

Answer:

2 * 2 * 2 * 2 * 5

Step-by-step explanation:

Answer:

2^4*5 OR 2*2*2*2*5

Step-by-step explanation:

using prime factorization

factors of 80 are 10*8 then factor 8 and 10 and so on until you are left with all prime numbers.

Hope this helps!

Answer:

540 degrees

Step-by-step explanation:

Answer:

the correct answer is C 540 degrees

Step-by-step explanation:

Answer: B. d - 0.2

Step-by-step explanation: 20%= 20/100= 0.2

Which means = d-0.2

Hope this helped.

Answer:

B: d- 0.2

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

There are 9 points, so the middle value is the 5th term. That makes the median = 5

Answer:

5

Step-by-step explanation:

9 data values

Median position:

(9+1)/2

10/2

5th value is the median

Answer:

Here we can see they are vertically opposite angles so x = 35°

x=35

bcoz they are vertically opposite angles.

As we know vertically opposite angles are equal.

Answer:

7/21

Step-by-step explanation:

Answer:

1/729

Step-by-step explanation:

Just multiply 3 for the amount of rounds there are (6) so 3^6 is equal to 729

Answer:

x = 3, y = 0

Step-by-step explanation:

2x - 2y = 6

x - y = 3

x = 3 + y

3(3 + y) + 2y = 9

9 + 3y + 2y = 9

5y = 0

y = 0

x = 3 + 0

x = 3

Answer:

True

Step-by-step explanation:

Each year, the population of the town increases by a rate of 4%, or 0.04.

In order to find the answer, you need to multiply the population of that year by 1.04. 1.04 is used in order to add the 4% to the overall total.

At the end of the first year, the population is 3250. (3125 x 1.04)

At the end of the second year, the population is 3380. (3250 x 1.04)

Answer:

2/7x +3=9

x=21

Step-by-step explanation:

Let the unknown be x.

Take 3 to the other side so: 2/7 multiplied by x= 6

Divide 6 by 2/7 to get the answer;

Therefore x=21

Sub back into equation to check answer.

Answer:

The equation is: 2/7x + 3 = 9

The unknown number is: 21

Step-by-step explanation:

Write as an unknown value (using a variable)

2/7ths of a number = 2/7x

Write as an equation

2/7x + 3 = 9

Subtract 3 from both sides of the equation

2/7x = 6

Divide both sides of the equation by 2/7

x = 21

The equation is: 2/7x + 3 = 9

The unknown number is: 21

Hope this helps :)