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2 years ago

What is the equation of the line through the origin and (-2,3)?

Mathematics

1 answer:

MAVERICK [17]2 years ago

4 0

Step-by-step explanation:

$algenbraic$

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What is the volume of the square pyramid with the base edges 24 ft and height

liberstina [14]

Answer:

Step-by-step explanation:

The volume of a pyramid is one third the height times the area of the base.

V = ⅓ h A

The base is a square, so the area is the width times length.

V = ⅓ h wl

Problem is, we don't know the height, only the slant length. But we can use this to find the height.

If we cut a cross section down the middle of the pyramid, we get an isosceles triangle. The base of the triangle is 24, and the legs are 37.

If we cut this triangle in half, we get two right triangles. Each right triangle has a base of 12 and a hypotenuse of 37.

Now we can use Pythagorean theorem to find the height of the triangle, which is also the height of the pyramid.

c² = a² + b²

37² = 12² + h²

h = 35

Now we can find the volume. h = 35, w = 24, and l = 24:

V = ⅓ h wl

V = ⅓ (35) (24) (24)

V = 6720

So the volume is 6720 ft³, or answer A.

8 0

3 years ago

Which pattern has the fastest growth rate?

kotykmax [81]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The pattern having the fastest growth rate is :

3 0

2 years ago

Find the exact volume of the cylinder.

Verizon [17]

Answer:

$\boxed {\boxed {\sf C. \ 200 \pi \ ft^3}}$

Step-by-step explanation:

We are asked to find the volume of the cylinder. The formula for calculating a cylinder's volume is:

$v= \pi r^2 h$

We know the height of the cylinder is 8 feet. We are given the diameter, the distance from edge to edge through the center. We want to find the radius, the distance from the edge to the center.

The radius is half the diameter.

r = d/2
r= 10 ft/2
r=5 ft

We know both variables (h= 8ft and r=5 ft) and can substitute them into the formula.

$v= \pi (5 \ ft)^2 * (8 \ ft)$

Solve the exponent.

5 ft * 5ft = 25 ft²

$v= \pi (25 \ ft^2)(8 \ft)$

Multiply the numbers in parentheses.

$v= \pi (200 \ ft^3)$

$v= 200 \pi \ ft^3$

The volume of the cylinder is <u>200π cubic feet and choice C is correct.</u>

5 0

2 years ago

What percent of 77.5 is 28.52 ?

Fantom [35]

I would say 36.8
But I am it sure

8 0

3 years ago

Help me with this right now please everyone

garik1379 [7]

Number 5 is 25+h divide f

8 0

3 years ago