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KiRa [710]
3 years ago
6

What is the greatest number if acute angles that a right triangle can contain?

Mathematics
1 answer:
irakobra [83]3 years ago
7 0
I believe the answer you are looking for is 2 angles
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The answer is 13/50th or 26%
 You simply take the amount of blueberries and divide it by the total number of gumballs and you get 13/50 or 26%
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Please help ASAP! 10 points + Brainliest!!!!
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Oil is leaking out of a ruptured tanker at the rate of r(t)=30e^(?0.09t) thousand liters per minute.
zmey [24]

Answer:

A)

At t = 0, oil is leaking out of a ruptured tanker at the rate of 30 thousand liters per minute.

At t = 60, oil is leaking out of a ruptured tanker at the rate of 0.1355 thousand liters per minute.

B)

331.82 thousands of liters leak out during the first hour.

Step-by-step explanation:

The oil leakage rate, in thousand liters per minute, is:

r(t) = 30e^{-0.09t}

A. At what rate, in thousands of liters per minute, is the oil leaking out

At t = 0:

This is r(0)

r(t) = 30e^{-0.09t}

r(0) = 30e^{-0.09*0} = 30

At t = 0, oil is leaking out of a ruptured tanker at the rate of 30 thousand liters per minute.

At t = 60:

This is r(60)

r(t) = 30e^{-0.09t}

r(60) = 30e^{-0.09*60} = 0.1355

At t = 60, oil is leaking out of a ruptured tanker at the rate of 0.1355 thousand liters per minute.

B. How many thousands of liters leak out during the first hour?

r(t) is in thousand liters per minute.

Each hour has 60 minutes.

So the answer to this question is the integral from 0 to 60 of r(t).

Integral of the exponential function

\int {e^{at}} \, dt = \frac{e^{at}}{a}

So

\int\limits^{60}_0 {r(t)} \, dt

\int\limits^{60}_0 {30e^{-0.09t}} \, dt

-333.33e^{-0.09t}, from t = 0 to t = 60.

This is

-333.33e^{-0.09*60} - (-333.33e^{-0.09*0}) = 331.82

331.82 thousands of liters leak out during the first hour.

6 0
4 years ago
All trapezoids are parallelograms.<br><br> A. True<br> B. False
ale4655 [162]

Answer:

True

parallelogram is a quadrilateral with two pairs of parallel sides. A trapezoid has one pair of parallel sides .

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3 years ago
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