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Svetllana [295]
1 year ago
14

The left windshield wiper on a Chevrolet Traverse cleans an area of 500.3in ^2.when in motion it has a cleaning pattern that arc

s 98 degree . What is the length of the windshield wiper? Approximate the length to the nearest inch.
Mathematics
1 answer:
Mamont248 [21]1 year ago
8 0

The length of the windshield wiper to the nearest inch is 24 inches

<h3>How to calculate the area of a sector</h3>

The formula for calculating the area of a sector is given as:

A = r²β/2

r is the length of the wiper

β is the subtended angle

Given the following

A = 500.3 square in

β = 98 degrees = 98pi/180 = 49pi/90

Substitute

500.3 =  r²49pi/180
500.3 = 153.86r²/180

153.86r² = 90054
r² = 585.298

r = 24.19

Hence the length of the windshield wiper to the nearest inch is 24 inches

learn more on sector here: brainly.com/question/22972014

#SPJ1

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An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g
givi [52]

Given :

An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g of an alloy containing 92% copper.

To Find :

How many grams of copper are in the resulting mixture what percentage of the resulting mixture is copper.

Solution :

Mass of copper in 50 gm alloy = 50\times 0.12 = 6\ gram.

Mass of copper in 78 gm alloy = 78\times 0.98 = 76.44\ gram.

Total mass of copper, ( 6 + 76.44 ) gm = 82.44 gram.

Percentage of copper in resulting mixture :

\%=\dfrac{82.44}{50+78}\\\\\%=64.4\ \%

Hence, this is the required solution.

8 0
3 years ago
Solve each inequality.
matrenka [14]

3. -x + 2 < 3x - 6

=3x +x < 2 + 6

=4x < 8

=x > 8/4

=x > 2

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5 0
2 years ago
Candice is preparing for her final exam in Statistics. She knows she needs an 65 out of 100 to earn an A overall in the course.
sertanlavr [38]

Answer:

a. 72

b. 816

c. 570

d. 30

Step-by-step explanation:

Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.

Please refer the figure for a better understanding.

a. In a normal distribution, Mean = Median = Mode

Therefore, Median = Mean = 72

b. We have to know that 68% of the values are within the first standard deviation of the mean.

i.e., 68% values are between Mean  Standard Deviation (SD).

Scores between 63 and 81 :

Note that 72 - 9 = 63 and

72 + 9 = 81

This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.

Now, Scores between 63 and 81 =  

= 68 X 12 = 816.

That means 816 students have scored between 63 and 81.

c. We have to know that 95% of the values lie between second Standard Deviation of the mean.

i.e., 95% values are between Mean  2(SD).

Note that 90 = 72 + 2(9) = 72 + 18

Also, 54 = 63 - 18.

Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to  of the values.

Therefore, Scores between 72 and 90 =  

= 570.

That is a total of 570 students scored between 72 and 90.

d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.

In this case, 5 % of the values lie between below 54 and above 90.

Since, we are asked to find scores below 54. It should be 2.5% of the values.

So, Scores below 54 =  

= 2.5 X 12 = 30.

That is, 30 students have scored below 54.

Step-by-step explanation:

8 0
3 years ago
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The area of the trapezoid is 24 in.2.<br>True or false
Lorico [155]

Answer:

The answer is true

Step-by-step explanation:

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2

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3 years ago
The first two steps in determining the solution set of the system of equations, y = -x2 + 4x + 12 and y=-3x + 24,
PSYCHO15rus [73]

Answer:

C

Step-by-step explanation:

(3,15) and (4,12)

5 0
2 years ago
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