Find the measure of the central angle with a radius of 13 inches and the area of a sector measuring 42.25π square inches.

1 answer:

7 0

Area of a sector: 1/2r^2 theta

Need theta
Let x be theta for now

42.25 pi = 1/2r^2x
84.5pi = r^2x
84.5pi = 169x
x = 84.5pi/169 = roughly 1.57 in radians

Radians => degrees is 1.57 * 180/pi or roughly 90.

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swat32

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3 years ago

A sum of $9, 000 paid into a bank account for two months (61 days) to attract simple interest will produce $9, 020 at the and of

Juliette [100K]

Answer:

Rate of interest will be 1.33 %

Return on this investment = $=\frac{9020-9000}{9000}=0.222$ %

Step-by-step explanation:

We have given principle amount P = $9000

Time = 61 days = $\frac{61}{365}=0.167\ years$

We have to find the rate of interest

Total amount produce at the end of term = $9020

So interest = $9020 - $9000 = $20

We know that simple interest $=\frac{principle\ amount\times rate\times\ time}{100}$

$20=\frac{9000\times rate\times\\ 0.167}{100}$

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Return on this investment = $=\frac{9020-9000}{9000}=0.222$ %

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4 years ago

The beach ball we played with has a density of 10 grams per cubic centimeter

Wittaler [7]

Answer: does not make sense.

The statement " the beach ball we played with has a density of 10 grams per cubic centimeter" does not make sense.

Reasoning.

Inflated beach balls have a very low density, they are pretty much only air, plus the weight of the ball per se. Certainly that density is much lower than the density of water.

Inflated beach balls fall slowly in the air because their density is very close to the density of air and float on water because their density is less than the density of water.

Being the density of pure water 1 g/cm^3 you can predict, without any calculation, that the density of the beach ball is less than that and never 10 g/cm^3 which is 10 times the density of pure water.

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3 years ago

Generate the nest three terms of each arithmetic sequence shown below.

o-na [289]

Answer:

A)2,6,10

B)2,-6,-18

C)-1,-3,-5

Step-by-step explanation:

A)a1=-2 and d=4

We know that the arithmetic sequence formula is

$a_{n}=a_{1}+(n-1)d$