A car's rear windshield wiper rotates 130°. The total length of the wiper mechanism is 25 inches and the length of the wiper blade is 14 inches. Find the area wiped by the wiper blade. (Round your answer to one decimal place.)

Answers

Answer 1

The area wiped by the viper blade is approximately 486.7 square inches.

The area wiped by the wiper blade ([tex]A[/tex]), in square inches, is equal to the area of the circular section described below:

[tex]A = \frac{\theta\cdot \pi}{360}\cdot (R^{2}-r^{2})[/tex] (1)

Where:

[tex]\theta[/tex] - Angle, in sexagesimal degrees. [tex]r[/tex] - Inner radius, in inches.[tex]R[/tex] - Outer radius, in inches.

If we know that [tex]\theta = 130^{\circ}[/tex], [tex]R = 25\,in[/tex] and [tex]r = 14\,in[/tex], then the area wiped by the wiper blade is:

[tex]A = \frac{130\pi}{360} \cdot [(25\,in)^{2}-(14\,in)^{2}][/tex]

[tex]A \approx 486.7\,in^{2}[/tex]

The area wiped by the viper blade is approximately 486.7 square inches.

We kindly invite to check this question on circular sections: https://brainly.com/question/14989543


Related Questions

Please help with math

Answers

Answer:

3.84m

Step-by-step explanation:

32*12=384

384/100=3.84

Answer:

384. hope this helps you out

Explain: 32•12=384, but for got to divide it so it equal 3.84

How many ⅖ are in 1½

Answers

Answer:

3 (remainder 3)

Step-by-step explanation:

A group of 200 adults were asked whether they prefer getting their news from newspapers or from TV. The gender of the adults and their responses are
reported in the following table.
Newspapers
Women 30
Men 50


TV
52
68


(a) What percentage of the adults are women?

(b) What percentage of the adults prefer TV?

Answers

Answer:

41% of adults are women.

60% of adults prefer TV.

Step-by-step explanation:

Women 30 Newspaper 52 TV 82 In Total so the percentage would be 82 out of 200 which would be 41 therefore 41% of adults are women.

TV scores 52 + 68 = 120 therefore 120 out 200 is the percentage of the adults that prefer TV 60 therefore 60% of the adults prefer TV.

The percentage of the adults prefer TV is 60%.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a group of 200 adults were asked whether they prefer getting their news from newspapers or from TV.

Here,

                  Newspapers         TV

Women              30                 52

Men                   50                  68

Number of women =30+52

= 82

a) Percentage of the adults are women

= 82/200 ×100

= 41%

b) Percentage of the adults prefer TV

Number of adults watch TV = 52+68

= 120

Here, 120/200 ×100

= 60%

Therefore, the percentage of the adults prefer TV is 60%.

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if 5c-2=3c, then 24c=

Answers

Answer:

24

Step-by-step explanation:

Step-by-step explanation:

24 is 3×8

so, when

3c = 5c-2

then

8×3c = 24c = 8×(5c-2) = 40c - 16

help
me
please
i
really
need
help

Answers

Answer:

16/35 chapters per hour

Step-by-step explanation:

Set a ratio:

7/8 hours ⇒ 2/5 chapters1 hour ⇒ x chapters

Find  the value of x by cross-multiplication:

x = 1 × 2/5 ÷ 7/8x = 2/5 × 8/7x = 16/35

QUICKEST 100 POINTS EVER!

Answers

Answer:

D. 25x⁴ + 30x³ + 29x² + 12x + 4

Step-by-step explanation:

(5x² + 3x + 2)² = (5x² + 3x + 2)(5x² + 3x + 2) = 5x²(5x² + 3x + 2) + 3x(5x² + 3x + 2) + 2(5x² + 3x + 2) =25x⁴ + 15x³ + 10x² + 15x³ + 9x² + 6x + 10x² + 6x + 4 = 25x⁴ + 30x³ + 29x² + 12x + 4

Correct choice is D

Answer:

D. 25x⁴ + 30x³ + 29x² + 12x + 4

Step-by-step explanation:

(5x² + 3x + 2)² =

(5x² + 3x + 2)(5x² + 3x + 2) =

5x²(5x² + 3x + 2) + 3x(5x² + 3x + 2) + 2(5x² + 3x + 2) =

25x⁴ + 15x³ + 10x² + 15x³ + 9x² + 6x + 10x² + 6x + 4 =

25x⁴ + 30x³ + 29x² + 12x + 4

1. At her new job Mary earns $100 more than twice the salary she earned as a college intern.
If she now earns $2100, how much did she earn as an intern?

Answers

Answer:

$1000

Step-by-step explanation:

Inverse operation

2100-100=2000

2000/2=1000

Sorry if its wrong but hope this helpssss

is there a way to place 29 books on shelves so that each shelf has the same number of books with more than one book on each shelf explain

Answers

Answer:

No, 29 is prime

Step-by-step explanation:

What equation represents this graph?

Answers

it should be d. y=2/3x+2
The answer is d. y=2/3x+2

!PLEASE ANSWER ASAP! THANK YOU!

Sarah’s school awarded 2000 raffle tickets as incentives. The principal will draw one winning ticket. The winner will receive an Ipad mini. Sarah received 4 tickets for good attendance, 5 for making the honor roll, and 10 for tutoring other students.

What is the probability that one of Sarah’s tickets will be selected by the principal? (write your answer as a %, once it is in % form round to the hundredths place)

Answers

Answer

400% Probability Of Sarah Getting Picked !

Step-by-step explanation:

So first 2000 x 19% = 380%

Round 0.13171 to the thousandths place (three decimal places).

Answers

Answer is 0.132 ........
0.132, and that’s pretty much it

So There Are 3 Dogs In 25 Parks How Many Dogs In Parks Are There So This Is 3×25=? I mean It's Ez ​

Answers

Answer: You are right! Just multiply for your answer!

Step-by-step explanation:

The answer is 25•3 is 75

6 + 2f = 8

f =

what the awnser i need help

Answers

Answer

f= 1

step by step explanation

An 18 foot long ramp is placed at a loading dock that is 5 feet above ground. How far is the bottom of the ramp from the dock?

Answers

Answer:

sqrt299

Step-by-step explanation:

Because the loading dock and the ground are perpendicular we know that they are at a 90° angle. Therefore we can use the equation :

a=5

b= ?

c=18

(Then we can move all of the numbers together but what you do to one side you must do to the other)

 Therefore,

 (Now to make b a single variable we must square root both sides)

 Therefore,

Now with all of these as numbers, we can plug this into a calculator *For all of those who have teachers who need EVERY Step see below I continue

  Where  and

(approximately)

Donny jumped from a rock into a lake. The rock is 35 feet above water. He dove 15 feet below the surface of the water. His brother says he traveled 20 feet in all. Donny says he traveled 50 feet in all. Who correct?

Answers

Donny is correct. To solve this problem all you need to do is add 35 to 15 equation below ⬇️

PLEASE ASAP HELPPPP PICK THEM ALL!!

Answers

Answer:

B

Step-by-step explanation:

A fire is sighted due west of lookout A. The bearing of the fire from lookout B, 8.6 miles due south of A, is N 42°26'W. How far is the fire from B (to the nearest tenth of a mile)? 7) A)13.7 mi B)11.7 mi C)12.7 mi D)14.7 mi

Answers

Answer:

11.7 miles

Step-by-step explanation:

I hope this helped!

phone company offers to monthly plans. Plan a cost $11 plus an additional $.19 for each minute of calls. Plan B cost $16 plus an additional $.15 for each minute of calls

Answers

Answer:

whats the question I can't help without a question

How many solutions are there to the equation shown below?
4(2x−3)−2x=6x+8

pls answer ASAP I will give brainliest to the first

Answers

Answer:

0 = 20

Step-by-step explanation:

4(2x−3)−2x=6x+8

8−12−2=6+8

combine like terms.

8x−12−2x=6x+8

6−12=6+8

Add 12 to both sides of the equation

6x−12=6x+8

6−12+12=6+8+12.

Hi, I got 8 points off on this problem, can you help me figure out what I did wrong?

Answers

Answer:

Possible errors: Triangle classification and definition.

Step-by-step explanation:

An isoceles triangle has at least two congruent sides of the same length.  

Given the triangle that has two equal angles, and that you'll have to prove that the triangle also has two equal sides.  

Using the Converse of Isoceles Triangle Theorem, where it states that if a triangle has two congruent angles < PQR ≅ < PRQ, for which opposite sides of those angles are congruent:  

The opposite side of <PQR is line PR.The opposite side of <PRQ is line PQ.  

Additionally, connecting point P to point X along the line QR such that PX ⊥ QR, divides △PQR into two symmetrical sections, where points Q and R are equidistant from point X.      

Answer:

Possible errors: Triangle classification and definition.

Use logarithms to find the exact solution for 7(17^−9)−7=49.

Answers

ANSWER: x = -0.082


EXPLANATION:

1. Apply logarithm to both sides of the
equation. If one of the terms has base 10,
use common logarithm, otherwise, use
natural logarithm

2. Use the different properties of logarithms
to solve for the variable.

17
-92 _ 7 = 49
7.17-92 = 56
17-92 = 8
10g17(8)
-92
2
log, 7(8)
-9
log(8)
log(17)
-9
I=
-0.082
2 of 3
Add both sides by 7
Divide both sides by 7
Convert to logarithm
Divide both sides by - 9


Melanie read 52 pages in 1 hours. If she continues reading at the same rate, how
many pages will she read in an hour?

Answers

If she read 52 pages in one hour, then she'll continue at a rate of 52 pages per hour.

Answer:

52 pages

Step-by-step explanation:

Since she reads 52 pages in 1 hour we multiply 52 by the amount of hours she reads.

52 pages times 1 hour equals 52 pages.

52 x 1 = 52

how can you simplify 24 to 96 ​

Answers

Step-by-step explanation:

Reduce 24/96 to lowest terms

Find the GCD (or HCF) of numerator and denominator. GCD of 24 and 96 is 24.

24 ÷ 2496 ÷ 24.

Reduced fraction: 14. Therefore, 24/96 simplified to lowest terms is 1/4.

Step-by-step explanation:

Here is an Explanation

Reduce 24/96 to lowest terms

The simplest form of

24

96

is

1

4

.

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 24 and 96 is 24

Divide both the numerator and denominator by the GCD

24 ÷ 24

96 ÷ 24

Reduced fraction:

1

4

Therefore, 24/96 simplified to lowest terms is 1/4.

2 < 3 < 5
True
False

Answers

Answer:

The answer is true.

Step-by-step explanation:

What is 2,000/3.67 estimate

Answers

Answer:

an estimate would be 2000/4 so it would be 500

Step-by-step explanation:

hope this helped <3

A new hotel was built with r rooms. The first weekend it was open, 3/5 of them were reserved. Which of the following expressions represents the number of rooms which were reserved?

A r-3/5
B r x 3/5
C r+3/5
D ÷3/5

PLEASE HELP ITS STUDY ISLAND

Answers

Answer:

c r/ 3/5

Step-by-step explanation:

i think

8.
Fit a quadratic function to these three points:

(−2, 8), (0, −4), and (4, 68)

A. y = −2x2 − 2x − 4

B. y = −2x2 + 2x − 4

C. y = 4x2 + 2x − 4

D. y = −4x2 − 2x − 4

Answers

Answer:    y= 4x² +2x -4

C. y = 4x2 + 2x − 4

Step-by-step explanation:  f(x)=4x^2+2x-4

Given three points

P1(-2,8)

P2(0,-4)

P3(4,68)

We need the quadratic equation that passes through all three points.

Solution:

We first assume the final equation to be

f(x)=ax^2+bx+c .............................(0)

Observations:

1. Points are not symmetric, so cannot find vertex visually.

2. Using the point (0,-4) we substitute x=0 into f(x) to get

f(0)=0+0+c=-4, hence c=-4.

3. We will use the two other points (P1 & P3) to set up a system of two equations to find a and b.

f(-2)=a(-2)^2+b(-2)-4=8 => 4a-2b-4=8.................(1)

f(4)=a(4^2)+b(4)-4=68 =>  16a+4b-4=68.............(2)

4. Solve system

2(1)+(2) => 24a+0b-12=84 => 24a=96 => a=96/24 => a=4 ......(3)

substitute (3) in (2) => 16(4)+4b-4=68 => b=8/4 => b=2  ..........(4)

5. Put values c=-4, a=4, b=2 into equation (0) to get

f(x)=4x^2+2x-4

Check:

f(-2)=4((-2)^2)+2(-2)-4=16-4-4=8

f(0)=0+0-4 = -4

f(4)=4(4^2)+2(4)-4=64+8-4=68

So all consistent, => solution ok.

...............................................................................................................................................

Answer:

y = 4x² + 2x − 4

Step-by-step explanation:

The y-values go down and up again, so the parabola opens upward. That means the x² coefficient must be positive. All answer choices are eliminated except one.

y = 4x² +2x -4

 There are other ways to get the answer. One of them is to use the quadratic regression function of a spreadsheet or graphing calculator. The one attached shows the points are matched by the equation ...

y = 4x² +2x -4 . . . . . as above

...............................................................................................................................................

4.8 x 7 what is this problem?

Answers

Answer:

33.6

Step-by-step explanation:

This problem is a multiplication problem.

=> 4.8 x 7

=> 33.6

Therefore, the solution to 4.8 x 7 is 33.6.

The problem 4.8 x 7 is a multiplication problem. The solution to 4.8 x 7 is 33.6.

Here, we have,

given that,

The problem 4.8 x 7 is a multiplication problem.

To solve it, we multiply 4.8 by 7.

4.8 x 7

Therefore, the answer to the problem 4.8 x 7

This problem is a multiplication problem.

=> 4.8 x 7

=> 33.6

Therefore, the solution to 4.8 x 7 is 33.6.

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CAN SOMEONE PLS HELP ME ILL GIVE YOU BRAINLIST IF YOU GET IT RIGHT

Answers

3rd option: A middle school student it more likely to own a phone than an elementary school student

Part B
Transform the equation that you identified in part A so the variable k is alone on one side of the equation.

Answers

Answer:

Start with the original equation.

k + a = 500

Subtract a from both sides of the equation.

k + a – a = 500 – a

           k = 500 – a

Step-by-step explanation: this was my edmentum answer

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