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Lapatulllka [165]
3 years ago
8

What is the volume of the pyramid?

Mathematics
1 answer:
xeze [42]3 years ago
6 0

<u>Given</u>:

Given that the base of the triangle is 17 inches.

The height of the triangle is 10 inches.

The height of the triangular pyramid is 20 inches.

We need to determine the volume of the pyramid.

<u>Area of the base of the pyramid:</u>

The area of the base of the pyramid can be determined using the formula,

B=\frac{1}{2} bh

Substituting b = 17 and h = 10, we get;

B=\frac{1}{2}(17)(10)

B=85 \ in^2

Thus, the area of the base of the pyramid is 85 square inches.

<u>Volume of the pyramid:</u>

The volume of the pyramid can be determined using the formula,

V=\frac{1}{3}Bh

where B is the area of the base of the pyramid and h is the height of the pyramid.

Substituting B= 85 and H = 20, we get;

V=\frac{1}{3}(85)(20)

V=\frac{1}{3}(1700)

V=567 \ in^3

Thus, the volume of the given triangular pyramid is 567 cubic inches.

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A new amusement-park ride that lasts 1 minute can have up to 1200 riders per hour. How many riders can ride per minute?
hodyreva [135]

Answer:

20 riders can ride per minute.

Step-by-step explanation:

The picture says to divide to find the number of riders. If we apply this here, we can see that 1200 ÷ 60 is 20.

The reasoning behind this is:

There are 60 minutes in an hour.

If the park ride lasts a minute, then the ride can have 60 rides per hour.

The question states that the ride can have up to 1200 riders per hour, so you need to divide 1200 by 60.

1200 ÷ 60 = 20.

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3 years ago
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Answer: What is this free?

5 0
2 years ago
Read 2 more answers
Which equation is true when m = 4?
Luba_88 [7]
The correct answer is A and B because if you replace the m's with 4 than you do get the answer at the end of the equation.  Hope this helps.
4 0
3 years ago
Does anyone know how to do this ?
goldenfox [79]

Answer: D) 32

Step-by-step explanation:

The area of a parallelogram equals its base times its height. Substitute the base and area into this formula to solve for the height:

A=bh

40=(5)(h)

h=8

If ABCD is a parallelogram, opposite sides are parallel, so AB is parallel to DC. If AB is parallel to DC, EB is parallel to DC. Since EB is parallel to DC, quadrilateral EBCD has at least one pair of parallel sides, making it a trapezoid. The area of a trapezoid is equal to \frac{h(b_{1}+b_{2})  }{2} where h is the height, b_{1} is one base, and b_{2} is the other base. Plug the necessary values into the formula:

A=\frac{h(b_{1}+b_{2})  }{2}

b_{1} =AB-AE\\DC=AB\\b_{1} =DC-AE\\b_{1} =5-2\\b_{1} =3

b_{2} =5

h=8

A=\frac{8(3+5)}{2}

A=32

The answer is D) 32.

6 0
2 years ago
The scale for a scale drawing is 8 millimeters: 1 centimeter. Which is larger,the actual object or the scale drawing?explain
amm1812
The scale is a representation of what the drawing is to real life. The drawing will tend to be represented by a fixed figure such as 1 cm. In this case for every cm of drawing it is a representation of 8 millimetres in real life, therefore the drawing is bigger than the object.
4 0
3 years ago
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