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Ivenika [448]
3 years ago
15

A rectangle is placed around a semicircle as shown below. The length of the rectangle is 4ft. Find the area if shaded region. us

e the value 3.14 for pie, And do not round your answer.

Mathematics
1 answer:
Naya [18.7K]3 years ago
3 0

Answer: Area of shaded region is 1.72 ft²

Step-by-step explanation:

Area of shaded region = area of the rectangle - area of the semi circle.

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

Since we are dealing with a semi circle, then

Area of semi circle = 1/2 × πr²

From the diagram,

Diameter = 4 ft

Radius = diameter/2 = 4/2

Radius = 2 ft

Area = 1/2 × 3.14 × 2² = 6.28 ft²

Considering the triangle,

Length = diameter = 4 ft

Width = radius = 2 ft

Area of rectangle = 4 × 2 = 8 ft²

Area of shaded region

= 8 - 6.28 = 1.72 ft²

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The diameters of ball bearings are distributed normally. The mean diameter is 106 millimeters and the standard deviation is 4 mi
Assoli18 [71]

Answer:

Probability that the diameter of a selected bearing is greater than 111 millimeters is 0.1056.

Step-by-step explanation:

We are given that the diameters of ball bearings are distributed normally. The mean diameter is 106 millimeters and the standard deviation is 4 millimeters.

<em>Firstly, Let X = diameters of ball bearings</em>

The z score probability distribution for is given by;

          Z = \frac{ X - \mu}{\sigma} ~ N(0,1)

where, \mu = mean diameter = 106 millimeters

            \sigma = standard deviation = 4 millimeter

Probability that the diameter of a selected bearing is greater than 111 millimeters is given by = P(X > 111 millimeters)

    P(X > 111) = P( \frac{ X - \mu}{\sigma} > \frac{111-106}{4} ) = P(Z > 1.25) = 1 - P(Z \leq 1.25)

                                                  = 1 - 0.89435 = 0.1056

Therefore, probability that the diameter of a selected bearing is greater than 111 millimeters is 0.1056.

4 0
3 years ago
5 out of 25 girls said that they like pink as their favorite color. If you were to ask 325 girls, how many would say they liked
lesya [120]

Answer:

65 girls

Step-by-step explanation:

325/25=13    13x5=65

7 0
3 years ago
HELP!!! i am stuck here
irina1246 [14]

Answer:

<em>2.5 hours</em>

<u>Skills needed: Speed, distance, time problems</u>

Step-by-step explanation:

1) We are given speed and distance, and have to find out the the time (in hours).

- In terms of units, everything is matched up (Since distance and speed use kilometers, and speed and time use hours).

- Time is always the distance you travelled (how far) divided by how fast you travelled (the rate/speed)

---> We can use the formula for time: t=\frac{d}r

t= time

d=distance

r=rate/speed

2) Now, let's plug in for distance and rate.

---> t=\frac{7.5}{3} = 2.5

2.5 hours is the answer.

4 0
3 years ago
Mrs. Levi's class raised $217.35 in one-time donations for the library's new book collection. The class also had 4 people pledge
nexus9112 [7]

Answer: $817.35

Step-by-step explanation:

150x4 = 600

600+217.35 = 817.35

7 0
4 years ago
. Evaluate 8^0 helppp please
qwelly [4]

Answer:

1

Step-by-step explanation:

{8}^{0}  = 1 \\

Any number raised to zero is always equal to one.

6 0
3 years ago
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