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Elan Coil [88]
2 years ago
6

PLZ HELP ASAP!!! What is the area of sector DEF in terms of pi ? 120° 3 cm E

Mathematics
1 answer:
Serjik [45]2 years ago
6 0

Answer:

Area of the sector : D.

3π cm²

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Which of the following units are most commonly used in the United States? Check all that apply. O A. Meters O B. Ounces C. Kilog
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A population of fish in a lake is 14000 in 2010. The population decreases 6% annually. What is the population in 2019
kodGreya [7K]

Answer:

8022.

Step-by-step explanation:

Let x be the number of years after 2010.

We have been given a population of fish in a lake is 14000 in 2010. The population decreases 6% annually.

We can see that population of fish is the lake is decreasing exponentially as it is decreasing 6% annually.

Since we know that an exponential function is in form: y=a*b^x, where,

a = Initial value,

b = For decrease or decay b is in form (1-r) where r represents decay rate in decimal form.

Let us convert our given decay rate in decimal form.

6\5=\frac{6}{100}=0.06

Upon substituting our given values in exponential form of function we will get the population of fish in the lake after x years as:

y=14,000*(1-0.06)^x

y=14,000*(0.94)^x

Let us find x by subtracting 2010 from 2019.

x=2019-2010=9

Upon substituting x=9 in our function we will get,

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3 years ago
What is the measure of angle R?
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Answer:

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Step-by-step explanation:

Reference angle = R

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Sin R = Opp/Hyp

Sin (R) = \frac{5}{13}

R = sin^{-1}(\frac{5}{13})

R = 22.6198649°

m<R = 22.62° (nearest hundredth)

3 0
2 years ago
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