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rusak2 [61]
2 years ago
6

A thread is being pulled off a spool at the rate of 40 cm per second. Find the radius of the spool

Mathematics
1 answer:
murzikaleks [220]2 years ago
3 0

Answer:

r = 0.0424 cm (3sf)

Step-by-step explanation:

it makes 150 rev/sec

1 revolution = 1 circumference = 2pi*r

so every second the spool goes through 2*pi*r*150 of distance

we know that the rate of pulling is 40cm/sec

so 2pi*r*150 = 40

r = 40/(2pi*150), which is 0.04244131816 cm.

check: Circumference is 2pi*r = 0.2666

now multiply by 150rev/sec = 40 cm/sec

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Step-by-step explanation:

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Find the missing b for a trapezoid with a=68, h=4, b=21
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We will have to use the formula for the area of a trapezoid on this problem, which is (b_1 and b_2 are the bases of the trapezoid and h is the height):

\dfrac{b_1 + b_2}{2} \cdot h


All we need to do is substitute the information we are given into our formula:

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Now, let's just simplify the equation:

\dfrac{21 + b_2}{2} \cdot 4 = 68

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