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SIZIF [17.4K]
3 years ago
8

Find the area of the shaded regions. State your answers as exact values and approximate values.

Mathematics
1 answer:
koban [17]3 years ago
6 0

Answer:

Exact area = 1568 - 392π  cm^2.

Approximate area = 336.5 cm^2 to the nearest tenth.

Step-by-step explanation:

As there are 8 congruent circles arranged in 2 rows the length of the rectangle = 2 * the width.

2L + 2W = 168

L = 2W so:

4W + 2W = 168

W = 168/6

= 28cm

L = 56 cm.

Thus the area of the rectangle = 56 * 28 = 1568 cm^2.

The diameter of each circle = 28 / 2 = 14 cm so the radius = 7 cm.

Now the area of each circle = π r^2 =  49 π cm^2.

So the exact area of the shaded area =  1568 - 8 * 49 π.

= 1568 - 392 π  cm^2.

Approximate area =  336.5 cm^2 to the nearest tenth.

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On a coordinate plane, a line goes through (negative 2, negative 4) and (2, 2). a point is at (negative 3, 1). what is the equat
S_A_V [24]

The equation, in point-slope form, of the line that is parallel to the given line and passes through the point is y - 1 = 3/2(x+3)

<h3>Equation of a line</h3>

A line is the distance between two points. The equation of a line in point-slope form is expressed as:

y - y0 = m(x-x0)

Given the coordinates (-2, -4) and (2, 2) on the line, the slope is expressed as:

Slope = 2-(-4)/2-(-2)

Slope = (6)/4

Slope = 3/2

Find the equation of the line

y -(1) = 3/2(x-(-3))

y - 1 = 3/2(x+3)

Hence the equation, in point-slope form, of the line that is parallel to the given line and passes through the point is y - 1 = 3/2(x+3)

Learn more on equation of the line here: brainly.com/question/18831322

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3 0
2 years ago
Which cylinders have the same volume as the cylinder below? Check all that apply. A cylinder with height of 32 meters and diamet
Vladimir79 [104]

Answer:

10054.4m^3

Step-by-step explanation:

Given data

Height= 32m

Diameter= 20m

Radius= 10m

The expression for the volume of a cylinder is given as

V= πr^2h

Substitute

V= 3.142*10^2*32

V= 3.142*100*32m^3

Hence the volume is 10054.4m^3

6 0
3 years ago
Read 2 more answers
If the monthly electrical utility bills of all customers for the Far East Power and Light Company are known to be distributed as
Y_Kistochka [10]

Answer:

A) About $195.00

Step-by-step explanation:

In a normal distribution, the interval (mean - 3*standard deviation, mean + 3*standard deviation) account for about 99.7% of the values. In this case mean + 3*standard deviation = $87.00 + 3*$36.00 = $195.00. So, it 's expected that this amount of money would be the largest individual customer bill.

4 0
3 years ago
Find the mean absolute deviation
pantera1 [17]
First find the mean (sum divided by number of values)
4+5+8+10+15=42
42/5=8.4
Then find the difference between each of the numbers and the mean.
4.4, 3.4, 0.4, 1.6, 6.6
Then find the mean of those values.
4.4+3.4+0.4+1.6+6.6=16.4
16.4/5=3.28
Final answer: 3.28
6 0
3 years ago
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Y
Anuta_ua [19.1K]
It’s should be the second on so b and you should get it corrdct
7 0
3 years ago
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