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Lostsunrise [7]

3 years ago

7

The arc corresponding to a central angle of 38 in a circle of radius 20 feet measures _____ feet

1 answer:

Anuta_ua [19.1K]3 years ago

4 0

Arc length formula is s = r*theta, where s is the arc length and theta is the angle in radians (not degrees).

Here, we must convert 38 degrees to radians:

38 deg pi rad
----------- * ------------- = 0.211 pi radians = 0.663 rad
1 180 deg

Then the arc length is (20 ft)(0.663 rad) = 13.26 ft

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The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. A) Estimate how lo

VLD [36.1K]

Answer:

A) 63.36 years.

B) 100.42 years.

Step-by-step explanation:

We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.

A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.

$P(t)=7.1(1.011)^{t}$

$7.1 \times 2=7.1(1.011)^{t}$

$\frac{7.1 \times 2}{7.1} =(1.011)^{t}$

$2 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(2) =ln (1.011)^{t}$

$ln(2) =t \cdot ln(1.011)$

$0.6931471805599453 =t \cdot 0.0109399400383344$

$t=\frac{0.6931471805599453}{0.0109399400383344}$

$t=63.3593217267282743049\approx 63.36$

Therefore, it will take 63.36 years the population to be double.

B) Now we will find the number of years it will take the population to be triple of its size.

$7.1 \times 3=7.1(1.011)^{t}$

$\frac{7.1 \times 3}{7.1} =(1.011)^{t}$

$3 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(3) =ln (1.011)^{t}$

$ln(3) =t \cdot ln(1.011)$

$1.0986122886681097 =t \cdot 0.0109399400383344$

$t=\frac{1.0986122886681097}{0.0109399400383344}$

$t=100.4221490079915311298\approx 100.42$

Therefore, it will take 100.42 years the population to triple of its size.

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3 years ago

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3 years ago

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Andru [333]

X-5=11
+5 both sides
x=16
hope this helped

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3 years ago

Which number is not a perfect square?

bagirrra123 [75]

Answer:

C

Step-by-step explanation:

If I had to make a choice it would be C. Its strange because all numbers can be divided by 4 so they all can make a square. But the closest was C.

7 0

3 years ago

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A. -7x+5<br> B. -7x-35<br> C. -7x+35<br> D. x-35

liubo4ka [24]

Answer:

B

Step-by-step explanation:

p(x) = r(x) * s(x)

= (x + 5) *(-7) {Use distributive property}

= x * -7 + 5 * -7

= - 7x - 35

5 0

4 years ago

Read 2 more answers