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Ipatiy [6.2K]
3 years ago
11

Jason is training for a triathlon and needs to swim a certain distance for today's workout. If he swims at the rec center pool,

he will complete a 200-yard warmup and then swim laps in a lane that is 20 yards long. If Jason swims at the indoor pool at his gym, he will complete a 100-yard warmup, plus a main set that consists of 40 yards per lap. If Jason swims the correct number of laps, he can complete the same distance in either pool. How long will Jason's workout be in total?
Mathematics
1 answer:
weeeeeb [17]3 years ago
6 0

Answer:

360 yards

Step-by-step explanation:

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Answer:

C(s) = 6s^2 + \dfrac{1500}{s}\\\text{where s is the side of base.}

Step-by-step explanation:

We are given the following in the question:

A storage shed is to be built in the shape of a (closed) box with a square base.

Volume = 150 cubic feet

Let s be the edge of square base and h be the height.

Volume of cuboid =

l\times b\times h

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Volume of box =

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Area of base =

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Cost of concrete for the base = $4

Cost of base($) = 4s^2

Area of roof =

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Cost of roof ($) = 2s^2

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Cost of material for the side = $2.50

Cost of material of side($) =

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Total cost

= Cost of base + Cost of 4 sides + Cost of roof

C(s) = 4s^2 + \dfrac{1500}{s} + 2s^2\\\\C(s) = 6s^2 + \dfrac{1500}{s}

is the required cost function.

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