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3 years ago

HELLO! SOS!!! PLEASE HELP ME!!! THANK YOU SO MUCH!!! WILL MARK BRAINLIEST!! WORTH 25 PTS!! THANK YOU AGAIN!!

Mathematics

2 answers:

Rasek [7]3 years ago

5 0

Answer:

16.5

Step-by-step explanation:

tan(70) = opposite/adjacent

tan(70) = x/6

x = 6tan(70)

x = 16.4848645167

lozanna [386]3 years ago

4 0

Answer:

16.5 =x

Step-by-step explanation:

Since this is a right triangle, we can us trig functions

tan theta = opp side / adjacent

tan 70 = x /6

Multiply each side by 6

6 tan 70 = x

16.48486452 =x

To the nearest tenth

16.5 =x

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3 years ago

A chemical flows into a storage tank at a rate of (180+3t) liters per minute, where t is the time in minutes and 0<=t<=60

Yuliya22 [10]

Answer:

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

Step-by-step explanation:

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.

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

$\int\limits^{20}_{0} {c'(t)} \, dt =\left[180t+\dfrac{3}{2}t^2\right]^{20}_0$

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

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

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

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