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enyata [817]
3 years ago
5

What is the area of the figure

Mathematics
1 answer:
Tomtit [17]3 years ago
4 0
A²+b²=c²
a=b because it has 2 45° angles and one 90 so it is isosceles right triangle

∴ a² + a² = c²
2a²=24²
2a²=576
a²=288
a=√288
a=16.97056275

Therefore. With A=1/2bh
A=(1/2) * 16.97056275 * 16.97056275
   = (1/2) * 288
   = 144

144 ft²
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A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon
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Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given by:

V = \frac{4\pi r^3}{3}

Applying implicit differentiation, the rate of change is given by:

\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}

In this problem, we have that:

\frac{dV}{dt} = 500, r = 70

Hence the rate of change of the radius is given as follows:

\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}

19600\pi\frac{dr}{dt} = 500

\frac{dr}{dt} = \frac{500}{19600\pi}

\frac{dr}{dt} = 0.0081

The radius is increasing at a rate of 0.0081 cm per minute.

More can be learned about implicit differentiation at brainly.com/question/25608353

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2 years ago
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Fiesta28 [93]
For this case we have the following function:
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the average rate of change from x = 7 to x = 14 is:
 
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Answer:

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Step-by-step explanation:

900/3=300

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FrozenT [24]

Answer:

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Step-by-step explanation:

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