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zepelin [54]
3 years ago
13

What is the total area, in square inches, of the shaded sections of the trapezoid

Mathematics
1 answer:
jeyben [28]3 years ago
6 0
First:

Break the shape into parts, this shape can be broken into 3 parts.

Next :
Put the equation for each shape

Shape 1 ( left shape)
L x h
5.4 in x 4.8 in = 25.95 in

Shape 2 (middle shape)
L x H
5in x 4.8in = 24in

Shape 3 ( right shape)
L x H
7.9 in x 4.8 in = 37.92 in

Last:
Add them all up

25.95 in
+ 24in
37.92in
——————
87.87in

Answer
87.87 in 2

I hope this helped and that I was right, have a nice day.


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Step-by-step explanation:

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Part A

F = 50 N is the force applied along the purple vector

r = 1.5 is the radius (half the diameter 3)

theta = 110 is the angle in which the force vector is applied

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T = F*r*sin(theta)

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<h3>Answer: The torque applied is approximately 70.4769 Newton-meters</h3>

=========================================

Part B

Refer back to the formula in part A. If theta is the variable, then T maxes out when theta = 90 degrees, because sin(theta) is maxed out at 1 here. If theta = 90, then T = F*r. The torque is maxed out when the force vector is perpendicular to the original position vector, this way you get the most push leading to the highest twisting or turning force possible.

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=========================================

Part C

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T = 50*1.5*1

T = 75

<h3>Answer: The max torque possible is 75 Newton-meters</h3>
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