1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna35 [415]
3 years ago
13

The top and bottom ends of a windshield wiper blade are R = 24 in. and r = 14 in., respectively, from the pivot point. While in

operation, the wiper sweeps through 135°. Find the area swept by the blade. (Round your answer to the nearest whole number.)
Mathematics
1 answer:
Orlov [11]3 years ago
3 0

Answer:

Area swept by the blade = 448in^{2}

Step-by-step explanation:

The arc the wiper wipes is for 135 degrees angle.

So, find area of sector with radius 24 inches. And the find area of arc with r=14 inches.

Then subtract the area of sector with 14 inches  from area of sector with radius as 24 inches.

So, area of sector with r=24 in =\frac{135}{360} *\pi  *24^{2}

Simplify it,

                                                  =216\pi

Now, let's find area of sector with radius 14 inches

Area of sector with r=14 in = \frac{135}{360} *\pi  *14^{2}

Simplify it

                                          =73.5\pi

So, area swept by the blade = 216\pi -73.5\pi

Simplify it and use pi as 3.14.....

Area of swept =678.584 - 230.907

                               =447.6769

Round to nearest whole number

So, area swept by the blade = 448in^{2}

You might be interested in
Un automóvil corre a 120 kilómetros por hora y otro a 80 kilómUetros por hora; si deben recorrer 960 kilómetros, ¿con cuántas ho
Artist 52 [7]

Answer:

4 hours

Step-by-step explanation:

The speed of the first car is

v_1 = 120 km/h

While the speed of the second car is

v_2=80 km/h

The time it takes for each car to cover a distance d is

t=\frac{d}{v}

where

d = 960 km is the total distance covered

For car 1, the time taken is:

t_1=\frac{960}{120}=8 h

For car 2, the time taken is:

t_2=\frac{960}{80}=12 h

Therefore, the difference in time is:

\Delta t =t_2-t_1 =12 -8 = 4 h

8 0
3 years ago
A copier prints 80 pages in 5 minutes.
DochEvi [55]
The correct answer is D, 16 pages per minute. A unit rate is a ratio of something to one; in this case, the ratio is 16:1, or 16 pages to 1 minute. To get the unit rate for this problem, divide both numbers by 5 to get how many pages will be printed per 1 minute. 80/5 = 16, so the copier prints 16 pages in 1 minute. Answer choices A and B are not unit rates, and answer choice C is the incorrect unit rate.

Hope this helps!
7 0
3 years ago
If x is a positive integer, for how many different values of x is sqrt48/x a whole number?
slava [35]

Answer:

<u>The only possible values of x that fulfill with both conditions are 3, 12 and 48.</u>

Step-by-step explanation:

1. What are the positive integers? Also know as the whole numbers or the counting numbers. They start from 1, and continue to 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, etc.

2. What are the whole numbers? The definition of whole numbers is that they are the number with no fractions or decimals.

3. According to those definitions, x must be a positive integer and the result of √48/x, must be a whole number.

4. For fulfilling the first condition, x must be only a value from 1 to 48.

5. For fulfilling the second condition, the result of √48/x must be a whole number. It means it must be 1, 2, 3, 4, 5 or 6. From 7 is not possible to continue because those numbers are bigger than 48, for example √49, √64, √81, √100 and so on, and it would be impossible to fulfill with the first condition.

6. So, we have just 6 possible options (√48/x = 1, √48/x = 2, √48/x = 3, √48/x = 4, √48/x = 5 and √48/x =6). Let's review in detail one by one.

√48/x = 1, Is there any value of x for fulfilling both conditions? <u>Yes, it's. It's 48. </u>

√48/x = 1 and let's replace x by 48.

√48/48 = √1 = 1

√48/x = 2, Is there any value of x for fulfilling both conditions? <u>Yes, it's. It's 12. </u>

√48/x = 2 and let's replace x by 12.

√48/12 = √4 = 2

√48/x = 3, Is there any value of x for fulfilling both conditions? No, it isn't.  

There isn't any whole number that allow us to fulfill with this: √48/x = √9 = 3

√48/x = 4, Is there any value of x for fulfilling both conditions? <u>Yes, it's. It's 3. </u>

√48/x = 4 and let's replace x by 3.

√48/3 = √16 = 4

√48/x = 5 Is there any value of x for fulfilling both conditions? No, it isn't.  

There isn't any whole number that allow us to fulfill with this: √48/x = √25 = 5

√48/x =6  Is there any value of x for fulfilling both conditions? No, it isn't.  

There isn't any whole number that allow us to fulfill with this: √48/x = √36 = 6.

<u>The only possible values of x that fulfill with both conditions are 3, 12 and 48.</u>

6 0
3 years ago
For f (x)= -x + 8, what is the value of x for which f(x) = 9?
Elina [12.6K]

Answer:

x=-1

Step-by-step explanation:

f (x)= -x + 8

Let f(x) = 9

9 = -x+8

Subtract 8 from each side

9-8 = -x+8-8

1 = -x

Multiply each side by -1

-1 = x

8 0
3 years ago
Simplify -2/3+(-3/5)
irinina [24]

Answer:

-1.26666666667

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • A bakery has d dozen eggs in one refrigerator and 3 fewer dozen eggs in another refrigerator. Which expressions correctly show h
    13·2 answers
  • Please help me with this for points
    10·1 answer
  • <img src="https://tex.z-dn.net/?f=5%28sin%28t%29%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%2Bycos%28t%29%29%29%3Dcos%28t%29%20%20%28sin%28
    5·1 answer
  • Pleeeeeeeaaaaassssseeeee heeeeeellllllpppppp
    14·1 answer
  • Need help plz<br> Angle WRS=_____degrees
    7·1 answer
  • If 1 equals 61.8, then 6 is
    13·2 answers
  • Which table represents a linear function?
    14·1 answer
  • Which of the following equations best represents the graph of a function f(m)?
    9·1 answer
  • The equations of four lines are given. Identify which lines are perpendicular.
    7·1 answer
  • Jason solved the following equation to find the value for x.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!