Drag and drop the responses in to the boxes to correctly complete the statement
Proving the converse of the Pythagorean theorem means that if the ———- of the squares of the length of the ——- sides of the triangle equals the square of the length of the ——- side then the triangle is a right triangle
Word choice sum , longest, similar,shorter product square congruent

Answer:

8 in

Step-by-step explanation:

The way you get the area of a parellelogram is the same as the way of a rectangle or square.

Answer: 8 in

Step-by-step explanation:

Height = area / base

= 64/8

= 8 inches

Answer:

P = 40.56 in (ANS)

Step-by-step explanation:

radius = 8/2 = 4 in

semi-circle perimeter = pi * R = 3.14 * 4 = 12.56 in

figure perimeter = 12.56 + 10 + 8 + 10 = 40.56 in (ANS)

Answer:

113.04 inches

use the formula for the area a circle

[tex]A=\pi a^{2}[/tex]

:

Answer: 5.4 x 10^8 on Khan Academy

The scientific notation of the expression is,

⇒ 5.4 × 10⁸

Scientific notation is a way of writing a very large or very small numbers. For example; 230,000,000 can be written in scientific notation as 2.3 x 10⁸.

Given that;

The expression is,

⇒ 1.4 x 10⁹ - 8.6 x 10⁸

Now, Simplify the expression as;

⇒ 1.4 x 10⁹ - 8.6 x 10⁸

⇒ 14 x 10⁸ - 8.6 x 10⁸

⇒ (14 - 8.6) × 10⁸

⇒ 5.4 × 10⁸

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Answer:

-0.2 or -2/10

Step-by-step explanation:

hope this helps

Answer:

2b < 56

n = b - 2

b = n + 2

n < 27

b < 28

No, because the difference between Brittany and Nate's age is 2years

Step-by-step explanation:

A.)

Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death

Let Brittany's age = b

Twice Brittany's age = 2 × b = 2b

Lincoln's age = 56

2b < 56

B.)

Nate's age = n

Nate is 2 years younger than brittany who is aged 'b'

n = b - 2

C.) b = n + 2

D.)

If 2b < 56 and b = n + 2

2(n + 2) < 56

2n + 2 < 56

2n < 56 - 2

2n < 54 ; n < 27

2b < 56

b < 56/2

b < 28

No, because the difference between Brittany and Nate's age is 2years

Answer:

Step-by-step explanation:

x = 9/5

The solution of the equation [tex]x^2 + 3x - 9 = 0[/tex] by completing the square would be [tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex].

Used the concept of a quadratic equation that states,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

Given that the equation is,

[tex]x^2 + 3x - 9 = 0[/tex]

Now completing the square as

[tex]x^2 + 3x - 9 = 0[/tex]

Add and subtract by 9/4,

[tex]x^2 + 3x + \dfrac{9}{4} - \dfrac{9}{4} - 9 = 0[/tex]

[tex]x^2 + 3x + ( \dfrac{3}{2})^2 - \dfrac{9}{4} - 9 = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{9}{4}+ 9) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{45}{4}) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 = ( \dfrac{45}{4})[/tex]

Taking square root on both sides,

[tex](x + \dfrac{3}{2} ) = \pm ( \dfrac{\sqrt{45}}{2})[/tex]

Therefore, the solution of an equation is,

[tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex]

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Answer:

[tex]g(x) = {(x + 9)}^{2} [/tex]

Answer:

simplify the expression

exact form :

5/36

decimal form :

0.138

Answer:

The third one I think

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

First -> twice m is -> 2m

Then

49 increased so -> 49+2m

Answer:

D.36

Step-by-step explanation:

you have to subtract them to get your answer.

Answer:

b

Step-by-step explanation:

ITS B NOT C ITS B ITS B ITS B.

Answer:

I am 99% sure its 33 servings

Step-by-step explanation:

because the question says that "how many servings of cups are in 33 cups".

(hopefully im right) and HOPEFULLY THIS HELPS. : )

Answer:

77

Step-by-step explanation:

Total Volume = 88

Middle Part Volume = 11

Total - Middle = 77

Answer:

I can't help

Step-by-step explanation:

I can't help

Answer:

50.625 miles per hour (mph)

Step-by-step explanation:

Step 1: Divide

405/8

= 50.625

mark as brainliest please, I need a few more :)

The value of the expression using BODMAS rule is 9.

To simplify the arithmetic expression involving more operators, we need to  use BODMAS rule. The full form of BODMAS is Brackets (Parts of a calculation inside the bracket always come first), Precedence of brackets are : [{(bar)}], Orders (powers and square roots), Division, Multiplication, Addition, Subtraction.

For the given situation,

The values are c = -4, d = 10

The expression is 1/4(c^3+d^2)

Substitute the above values,

⇒ [tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]

⇒ [tex]\frac{1}{4} (-4^{3} +10^{2} )[/tex]

⇒ [tex]\frac{1}{4}(-64+100)[/tex]

⇒ [tex]\frac{1}{4}(36)[/tex]

⇒ [tex]9[/tex]

Hence we can conclude that the value of the expression using BODMAS rule is 9.

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Answer: 9

Step-by-step explanation:no clue how I got it but the test marked it correct

Answer:

4

Step-by-step explanation:

Answer:

What do you mean by #5?

Step-by-step explanation:

Answer:

A.) [tex]10\sqrt{5}[/tex]

Step-by-step explanation:

I'll explain rn hold up

Answer:

A.) [tex]10\sqrt{5}[/tex]

Step-by-step explanation:

Fist simplify [tex]40\sqrt{40}[/tex] :

[tex]40\sqrt{40}\\\\40\sqrt{4}\sqrt{10}\\\\40*2\sqrt{10}\\\\80\sqrt{10}[/tex]

Now simplify [tex]4\sqrt{8}[/tex] :

[tex]4\sqrt{8}\\\\4\sqrt{4}\sqrt{2} \\\\4*2\sqrt{2}\\\\8\sqrt{2}[/tex]

Insert both into expression:

[tex]\frac{80\sqrt{10}}{8\sqrt{2}}[/tex]

Simplify:

[tex]\frac{10\sqrt{10}}{\sqrt{2}}[/tex]

Rationalize:

[tex]\frac{\sqrt{2}}{\sqrt{2}}*\frac{10\sqrt{10}}{\sqrt{2}}\\\\\frac{10\sqrt{20}}{\sqrt{4}}\\\\\frac{10\sqrt{20} }{2}[/tex]

Simplify:

[tex]5\sqrt{20}[/tex]

Convert to simplest radical form:

[tex]5\sqrt{4*5} \\\\5\sqrt{4}\sqrt{5}\\\\5*2\sqrt{5}\\\\10\sqrt{5}[/tex]

:Done

Answer:

Sample space: {B, G, R, W, Y}

20%

40%

Step-by-step explanation:

Theoretical probability of blue:

1/5 × 100 = 20%

Experimental probability (based on observation) of yellow or white:

(20+12)/80 × 100

32/80 × 100

40%

Answer:

A. 9847.04 cubic meters

Step-by-step explanation:

Answer:

B; 39388.16 cubic meters

Step-by-step explanation:

I think the following information will make things clearer:

The formula for finding the volume of a cone is V = πr²h/3:

We can substitute our lengths to find out the volume.

[tex]28^{2} = 784\\48 \: \div \: 3 = 16\\16\: \cdot \: 784 \: \cdot \: 3.14\\= 39,388.16[/tex]

Thusly, the volume of the cone is [tex]\boxed{39,388.16}[/tex].

Hope this helps!! ((:

Answer:

Step-by-step explanation:

To calculate the volume of a pyramid with a rectangular base, find the length and width of the base, then multiple those numbers together to determine the area of the base. Next, multiply the area of the base by the height of the pyramid. Take that result and divide it by 3 to calculate the pyramid's volume!

I cant do this until I know What number is what.

Which is length?

Which is height?

and which is width?

Answer:

Step-by-step explanation:b

Answer:

[tex](x-8)^2 + (y-7)^2 - 17 = 0[/tex]

Step-by-step explanation:

The formula for the equation of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where (h,k) is the center and r is the radius of the circle.

To first solve solve this, use the endpoints of the diameter to solve for the center of the circle using the midpoint formula, which is known as:

[tex]\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)\ }{2}[/tex]

The points given are (12,8) and (4,6), so plug in the coordinates into the formula.

Center = (1/2)(12+4),(1/2)(8+6)

            = (8,7)

Now, to find the radius, we can use the distance formula and use the center (8,7) and one of the endpoints, (12,8). The distance formula is known as:

[tex]\sqrt{(x_{1} -x_{2})^2 +(y_{1} -y_{2})^2 }[/tex]

Radius = √(x₂- x₁)² + (y₂-y₁)²

            = √(12- 8)² + (8-7)²

            = √(4² + 1²) = √(16+ 1) = √17

            = r² = 17

Now that the radius and the center are known, the equation of the circle can be written as:

[tex](x-8)^2 + (y-7)^2 - 17 = 0[/tex]

Answer:

x = 5

Step-by-step explanation:

This is a right triangle with hypotenuse x

We can use the Pythagorean theorem

a^2+b^2 = c^2

3^2+4^2 = x^2

9+16= x^2

25=x^2

Take the square root of each side

sqrt(25) = sqrt(x^2)

5 = x

Answer:

0 in the end they all burn out

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

9s=-10+10s

Add 10 on both sides,

9s+10=-10+10s+1

9s+10=10s

Subtract 9s on both sides,

9s+10-9s=10s-9s

10=s

Therefore,s=10

Answer:

5

Step-by-step explanation:

2x - ( x - 7 ) = x + 7

x + 7 = 12

x = 12- 7 = 5

the number is 5