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olga2289 [7]
3 years ago
12

A windshield wiper turns through an angle of 150°. The top of the blade traces the are with a 20-inch radius. How long is the

Mathematics
1 answer:
aev [14]3 years ago
3 0

Answer:

A

Step-by-step explanation:

Arc length is given by the formula:

\displaystyle s=2\pi r\frac{\theta}{360^\circ}

Where <em>r </em>is the radius and θ is the central angle, in degrees.

The windshield wiper has a radius of 20 inches and a central angle of 150°. Hence:

\displaystyle s=2\pi (20)\left(\frac{150}{360}\right)

Use a calculator:

\displaystyle s=\frac{50}{3}\pi \approx52.36\text{ inches}

Our answer is A.

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Remo needs to buy a countertop for a bathroom. He calculated the area as 10 square feet. The actual area is 9.5 square feet. Wha
Digiron [165]

Answer:

The answer is either 5.26 or 5 I think its 5.26

Step-by-step explanation: The reason why I think its the two answers I said is because 10 is 10 percent of 100 so 9.5 is 9.5 percent which makes me think that

4 0
3 years ago
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Approximately 0.8 of middle school students have cell phones. Which of the following fractions describes how many middle school
lana [24]

Answer: E. 4/5

Step-by-step explanation: You have to put the decimal (0.8) over its place value. So in this case 0.8 turns into 8/10. Then you must simplify 8/10, by dividing the numerator (8) and the denominator (10) by the greatest common factor (2). Which gives you the answer 4/5.

8 0
3 years ago
A grandsons age in years is equal to his grandfather's age in years. The difference of the grandsons age in years and the grandf
garik1379 [7]

The age of the grandson is 7 years and the grandfather is 84 years if the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the age of the grandsons is x years and

age of the grandfather's age is y years

Here some data are misprinted, so we are assuming the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.

Then according to the problem:

12x = y  (as in 1 year, there are 12 months)

y -x = 77 (as difference in age is 77)

After solving both equations, we get:

x = 7 years and y = 84 years

Thus, the age of the grandson is 7 years and the grandfather is 84 years if the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

4 0
2 years ago
You are in talks to settle a potential lawsuit. The defendant has offered to make annual payments of $15,000, $25,000, $40,000,
Sphinxa [80]

Answer:

All payments will be made at the end of the year by using the present value of inflows

Step-by-step explanation:

Present Value Of Inflows = Cash Inflow × Present Value Of Discounting Factor (Rate%,Time Period)

Present Value Of Inflows = 15000/1.037 + 25000/1.037^{2} + 40000/1.037^{3} + 60000/1.037^{4}

Present Value Of Inflows = 125466.3

8 0
3 years ago
Please please help me in these questions ​
boyakko [2]

a. a=40° (alternate interior angles)

b+40°=180°( supplementary angles)

b=140°

c= d= 140°( vertically opposite angles)

d=b=140°( corresponding angles)

b. 2a+120°=180° (supplementary angles)

2a=60°

a=30°

c. a+110°=180°( supplementary angles)

a=70°

b+70°=180°( supplementary angles)

b=110°

c+110°=180°( supplementary angles)

c=70°

c=d=70( corresponding angles)

3 0
2 years ago
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