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Citrus2011 [14]
3 years ago
15

Find the area of the shaded region. Round to the nearest hundredth when necessary.

Mathematics
1 answer:
dusya [7]3 years ago
3 0
Answer: 423.11 m^2


Step by step explanation:

Area of a circle formula pi*r^2

First solve the area of the big circle

3.14*21^2=1384.74 m^2

Now find the are of the smaller circle

r=21-3.5=17.5
3.14*(17.5)^2=961.63 m^2

Now we can minus the small area off the big area to get the shaded area.

1384.74-961.63=423.11 m^2

So the area of the shaded region is 423.11 m^2
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A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in day
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Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

A(t) = A(0)e^{-kt}

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

A(t) = A(0)e^{-0.1392t}

Find the substance's half life, in days.

This is t for which A(t) = 0.5A(0). So

A(t) = A(0)e^{-0.1392t}

0.5A(0) = A(0)e^{-0.1392t}

e^{-0.1392t} = 0.5

\ln{e^{-0.1392t}} = \ln{0.5}

-0.1392t = \ln{0.5}

t = -\frac{\ln{0.5}}{0.1392}

t = 4.98

The substance half-life is of 4.98 days.

5 0
3 years ago
Round each number to the nearest tenth. What is the best estimate for the answer to 382.24 – 297.28?
PilotLPTM [1.2K]
When rounded off then it comes
382.2-297.3=84.9
8 0
3 years ago
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What is 10% of 70m awnser?
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The answer is 7. That's the answer
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3 years ago
One exterior angle of a regular polygon measures 97°. What is the measure of one interior angle?
3241004551 [841]

Hello :) = Merhaba :)

Answer:

<h3><u><em>83°</em></u></h3>

Step-by-step explanation:

The total angle of a polygon and its external angle must be 180°.

So the inner angle of this polygon:

180 - 97 = 83° would.

NOTE: I'm not American. I'm just a Turk who wants to help you. So if my sentences are wrong, please forgive me.

<em><u>#Cevapistevereyim</u></em>

Başarılar :) = Achievements :)

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3 years ago
What is 9 fourths divided by 3 forth so
Alexus [3.1K]
(a/b) x (c/d) = (a*c)/(b*d)

Therefore:

(9/4) x (1/3) = (9*1)/(4*3) = 9/12 = 3/4

Answer:

3/4
5 0
4 years ago
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