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lisov135 [29]
3 years ago
14

What is the area of the shaded sector?

Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
7 0

Answer:

= 72*pi

If we approximate pi

           = 226.08

Step-by-step explanation:

The area of the entire circle is

A = pi * r^2

where r = 24

A = pi * 24^2

A = pi *576

45 degrees is part of a 360 degree circle

45/360  =1/8

Multiply the area by 1/8  since it is 1/8 of the circle

1/8 A = 1/8 * 576pi

         = 72*pi

If we approximate pi

           = 226.08

Sati [7]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

area of sector = area of circle × fraction of circle

                       = π × 24² × \frac{45}{360}

                      = π × 576 × \frac{1}{8} = 72π units² ← exact value

area of sector = 72π units² ≈ 226.2 units² ( 1 dec. place )




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Answer:

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Step-by-step explanation:

A) 30 divided by 24

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FinnZ [79.3K]

Answer:

4x² -29x +51

Step-by-step explanation:

Put x-3 where x is in the original function definition, then "simplify". I think you'll find it convenient to rewrite the original function definition first.

... g(x) = 4x² -5x = x(4x -5)

Substituting, we have

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3 years ago
(12 points and brainliest!) A group of armed forces personnel were surveyed. The branch of service was recorded in the chart bel
Rzqust [24]

Answer:

43.2 degrees

Step-by-step explanation:

1. First, find the total number of people who were surveyed.

165+135+60+130+10=500

2. Next, figure out how many the Marine Corps is out of those 500 people.

60/500= 0.12 =12%

3. Last, find out what degree the 12% would take up.

We know that a circle is 360 degrees. To find 12% of 360 degrees, you will do:

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5 0
3 years ago
Which of the following is the most important piece of information to consider when comparing prices?
nataly862011 [7]

<em>Answer: A) The average price of the two items you are comparing.</em>

<em>Step-by-step explanation:</em>

<em>Because...</em>

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4 0
3 years ago
The rate at which a quantity of a radioactive substance decays is proportional to the quantity of the substance. The constant of
Butoxors [25]

Answer:

\frac{dN}{dt} = λN           N(0) = 6

N(t) = N₀e^(λt)

Applying the inital value condition

N(t) = 6e^(λt)

Step-by-step explanation:

Summarizing  the information briefly and stating the  variables in the problem.

t = time elapsed during the decay

N(t) = the amount of the radioactive substance remaining after time t

λ= The constant of proportionality  is called the decay constant or decay rate

Given the initial conditions

N(0) = N₀ = 6

The rate at which a quantity of a radioactive substance decays (\frac{dN}{dt}) is proportional to the quantity of the substance (N)  and λ is the constant of proportionality  is called the decay constant or decay rate :

\frac{dN}{dt} = λN          

N(t) = N₀e^(λt) ......equ 1

substituting the value of  N₀ = 6 into equation 1

N(t) = 6e^(λt)

3 0
3 years ago
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