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dmitriy555 [2]
3 years ago
13

Sam made $210.00 last week. If he worked 35 hours, how much is he paid for one hour of work?

Mathematics
2 answers:
LuckyWell [14K]3 years ago
4 0

Answer:

$6.00 per hour

Step-by-step explanation:

Take $210.00 pay/35 hours worked= $6.00 per hour

saw5 [17]3 years ago
3 0

Answer:

6 bucks

Step-by-step explanation:

210/35 = 6

210 dollars/ 35 hours = 6 dollars er hour

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Find the volume of the solid generated when R​ (shaded region) is revolved about the given line. x=6−3sec y​, x=6​, y= π 3​, and
Dmitrij [34]

Answer:

V=9\pi\sqrt{3}

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

where:

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so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

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V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

V=9\pi[tan y]\limits^\frac{\pi}{3}_0

so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

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What is the result when the number 86 is decreased by 9%?
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