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2 years ago

A scale drawing of a pool has scale of 1 in :4 ft. If the actual pool is 16 ft wide, how is the pool represented in the drawing

Mathematics

1 answer:

Deffense [45]2 years ago

8 0

Answer: 4 inches

Step-by-step explanation:

Let the width of the pool in the drawing be represented by x.

Since scale drawing of a pool has scale of 1 in :4 ft and the actual pool is 16 ft wide, this can be represented in an equation as:

1/4 = x/16

Cross multiply

4 × x = 1 × 16

4x = 16

x = 16/4

x = 4

Therefore, the pool representation in the drawing is 4 inches

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Consider the provided information.

A chemical flows into a storage tank at a rate of (180+3t) liters per minute,

Let $c(t)$ is the amount of chemical in the take at <em>t </em>time.

Now find the rate of change of chemical flow during the first 20 minutes.

$\int\limits^{20}_{0} {c'(t)} \, dt =\int\limits^{20}_0 {(180+3t)} \, dt$

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$\int\limits^{20}_{0} {c'(t)} \, dt =3600+600$

$\int\limits^{20}_{0} {c'(t)} \, dt =4200$

So, the amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.

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