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3 years ago

How can you prove a triangle is a right triangle?

1 answer:

7 0

The best way to prove that a triangle is a right triangle is to use the Pythagorean theorem because the Pythagorean theorem only works with right triangles. If a^2 + b^2 = c^2, then you are looking at a right triangle.

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Solve for y. 6 = 2(y + 2) A) 6 B) 1 C) 8 D) 2

tankabanditka [31]

The answer is B.

6 = 2 (y + 2)

y = 1

7 0

3 years ago

Read 2 more answers

Find the volume of a square based pyramid like you see below if the side of the base is 10 inches and the height of the the tria

Mekhanik [1.2K]

Answer:

The volume of a square based pyramid is 645.3 cubic inches.

Step-by-step explanation:

Given:

The side of the base is 10 inches and the height of the the triangular face is 20 inches.

Now, to find the volume of square based pyramid.

Base side (a) = 10 inches.

Slant Height (s) = 20 inches.

Now, to get the height of pyramid by using pythagorean theorem:

Leg 1 = $\frac{base}{2}=\frac{10}{2}=5\ inches.$

Hypotenuse = 20 inches.

So,

Hypotenuse² = (leg 1)² + (leg 2)²

$20^2=5^2+leg2^2\\400=25+leg2^2\\Subtracting\ both\ sides\ by\ 25 \ we\ get:\\375=leg2^2$

Using square root on both sides we get:

$19.36=leg2$

leg 2 = 19.36 inches.

Thus, the height of pyramid = 19.36 inches.

Now, to get the volume of square pyramid we put formula:

h = 19.36 inches.

a = 10 inches.

$Volume=a^2\frac{h}{3}$

$Volume=10^2\times \frac{19.36}{3}$

$Volume=100\times 6.453$

$Volume=645.3\ cubic\ inches.$

Hence, the volume to the nearest tenth is 645.3 cubic inches.

Therefore, the volume of a square based pyramid is 645.3 cubic inches.

3 0

3 years ago

Look at the linear equation below.

enot [183]

The answer is (-5,1) because 2(-5)-3(1)=-13 :)

7 0

3 years ago

The toll on a highway is based on the number of miles driven. If the toll on a 15-mile stretch of highway is $0.60, find the cos

Crank

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 a 80-mile stretch is $3.20

8 0

3 years ago

If 3m = 19 - n and 2m + 5n = 30, then what is the value of m?

nexus9112 [7]

Answer:

m=5

Step-by-step explanation:

We can solve this by using a system of equations. The easiest way to solve this is by using substitution.

3m=19-n Subtract both sides by 19 to find n.

-19 -19

3m-19=-n Divide everything by -1 to make n positive.

/-1 /-1

n=-3m+19

Now, we can substitute n into the second equation.

2m+5(-3m+19)=30 Substitute (-3m+19) into n.

2m-15m+95=30 Simplify.

-13m+95=30 Simplify and subtract both sides by 95.

-95 -95

-13m=-65 Divide both sides by -13.

/-13 /-13

m=5

We don't need to solve for n at all, so that is the answer!

Hope this helps, and have an amazing day ♥

8 0

3 years ago