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olga2289 [7]
2 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]2 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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Quadrilateral ABCD is dilated by a scale factor of 2 centered around (2, 2). Which statement is true about the dilation?
arsen [322]

Answer:

Option (B) is true i.e segment B'D' will run through (2,2) and will be longer than the segment BD.

Step-by-step explanation:

As the assumption quadrilateral ABCD is shown in figure a.  

First located the center of the dilation which is located at (2,2) as shown in figure b.  

The next thing we want to do is to determine the distance of the center of dilation to each of the points of quadrilateral ABCD as shown in figure b.  

Let’s just start with the distance from the center to the point A, but notice we don’t have to move up and down in y direction. So, what we have to do is to increase this by the factor 2. Because this horizontal distance is 1 i.e. the distance from dilation center (2,2) to point A, we just have to multiply by 2 which would be a distance of 2 and this point right here will be the new location of point A’ (0,2).

And the distance from the center to the point C is the horizontal distance of 2 i.e. the distance from dilation center (2,2) to point C, we just have to multiply by 2 which would be a distance of 4 and this point right here will be the new location of point C’ (6,2).

And the distance from the center to the point B is the upward vertical distance of 1 i.e. the distance from dilation center (2,2) to point B, we just have to multiply by 2 which would be a vertical distance of 2 and this point right here will be the location of point B’ (2,4).  

And similarly the distance from the center to the point D is the downward vertical distance of 1 i.e. the distance from dilation center (2,2) to point D, we just have to multiply by 2 which would be a vertical distance of 2 and this point right here will be the location of point D’ (2,0).

So, Quadrilateral A'B'C'D' is dilated by a scale factor of 2 centered around (2, 2).

Just notice in figure b that the segment B'D' will run through (2,2) and will be longer than the segment BD.

<u>So,option (B) is true</u> <u>i.e segment</u><u> </u><u>B'D' will run through (2,2) and will be longer than the segment BD.</u>

<u />

Learn more about dilation from brainly.com/question/12528454

#learnwithBrainly

3 0
3 years ago
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Use the following function rule to find f(4).<br><br> f(x) = <br> 5 + <br> 7 <br> x
vladimir2022 [97]

Answer:

33

Step-by-step explanation:

put 4 in for x and then solve

5+7(4)

5+28

33

6 0
3 years ago
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I NEED HELP WITH PRECALC PLEASE
alisha [4.7K]

Answer: First question: D, Second question: A

Step-by-step explanation:

Note: I'm not so good at expanding so I'll just solve it :)

So this leaves either C or D

Apply the sum rule:

8-70=-62

The only one that gives a negative sum is D

For the second picture, the one you have chosen is correct

a1 = 3 and r = -5 so:

an = 3/5 * (-5)^n

Plugging in 8 for n (the first choice) we get the given term: -234,375

8 0
2 years ago
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Find the area of the triangle
Helga [31]

Answer:

The answer is

\huge \boxed{54 \:  \:  {units}^{2} }

Step-by-step explanation:

Area of a triangle is given by

A =  \frac{1}{2}  \times base \times height \\

From the question

base = 18

height = 6

So we have

A =  \frac{1}{2}  \times 18 \times 6 \\  = 9 \times 6 \\  = 54 \:  \:  \:  \:  \:

We have the final answer as

<h3>54 units²</h3>

Hope this helps you

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Solve<br> 2(x+4)= 20<br> Solve this please
Natasha2012 [34]
2x+8=20
2x=20-8
2x=12
12/2=x
6=x
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2 years ago
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