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mote1985 [20]
3 years ago
6

The prism shown has a base that is a trapezoid. Find the volume of the prism.

Mathematics
1 answer:
Wittaler [7]3 years ago
3 0
Volume of the prism: V=B×H
Base of the prism is a trapezoid, so the volume equation will be:
V=((a+b)/2)×h×H
Information that is given:
h=7 inches(height of the base);
x=5 inches(segment of a side of the trapezoid);
H=4 inches(height of the prism);
b=8 inches(shorter side of the trapezoid).
Calculate the longer side of the trapezoid:
a=2x+b
a=2×5+8=10+8=18 in.
Now you can calculate the base:
B=((a+b)/2)×h
B=((18+8)/2)×7
B=91 in.
Volume of the prism:
V=91 × 4
V=364 inches.
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Answer:

okay

vertex:(2,4)

domain: (-∞,∞)

range: [4,∞)

Step-by-step explanation:

to find the vertex from the equation

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an easy way is to use the numbers given. so the vertex of this equation is x= 2 (because it is always the opposite of itself in the equation) and y= 4 because the point is going up 4.

to find domain is easy. domain is on the x-axis so the equation is a parabola so it has to points at the same direction. therefore it has a domain that goes from negative infinity to positive infinity.

lastly to find range, which is on the y-axis is to find from where the parabola starts and is pointing, either up or down. in this equation the vertex, which is also the starting point starts at 4 and continues to go on- to infinity.

ps i hope this helps.

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3 years ago
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max2010maxim [7]

Answer:

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The area of a rectangular piece of paper is 45 square inches. the perimeter is 28 inches. What are the dimensions of the paper?
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4 years ago
Read 2 more answers
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