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valentina_108 [34]
3 years ago
14

Find the area of the shaded region in the figure below, if the radius of the outer circle is 8 and the radius of the inner circl

e is 4. Keep your answer in terms of π.

Mathematics
1 answer:
Inessa05 [86]3 years ago
4 0

Answer:

48 π

Step-by-step explanation:

Area of Circle =πr∧2

Big Circle Area = π(8)∧2 = 64π

Small Circle Area =π(4)∧2= 16π

Shaded Region = 64π - 16π = 48π

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Note that 0\le k\sin x\le k in the given closed interval, so the area is exactly given by the definite integral

\displaystyle\int_0^\pi k\sin x\,\mathrm dx

(no absolute values needed!)

Integrating gives

-k\cos x\bigg|_{x=0}^{x=\pi}=-k(\cos\pi-\cos0)=-k(-1-1)=2k
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3 years ago
Need help. understand but forgot a step
ki77a [65]
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The data obtained from a random sample of track athletes showed that as the foot size of the athlete decreased, the average runn
Rufina [12.5K]

Answer:

The correct option is;

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Step-by-step explanation:

The statements are analysed as follows;

(1) Smaller foot sizes cause track athletes to run slower.

The above statement is a conclusion and it infers more information than is contained in the question statement because there are other factors such as taller athletes run faster than average sized athletes

(2) The sample of track athletes shows a causal relationship between

foot size and running speed.

The above statement is similar to the one above as it is a milder conclusion and it infers more information than is contained in the question statement

(3) The sample of track athletes shows a correlation between foot size

and running speed.

The  above statement is correct as is directly supported by the data as it is a statement made based directly the data

(4) There is no correlation between foot size and running speed in

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The above statement is not supported by the available data.

3 0
3 years ago
Which function is the inverse of g(x)3x-15
Korolek [52]

Answer:

Inverse of g(x)=x+15/3

Step-by-step explanation:

g(x)=3x-15

Let, g(x) be y

y=3x-15

Interchange x and y

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5 0
3 years ago
Find the diameter of the circle with a radius of 1 inch
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key words:

D=Diameter

R=Radius

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so the diameter of the circle is 2 inches

hope this helps!

6 0
3 years ago
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