The rear windshield wiper blade on a car has a length of 11 inches. The blade is mounted on a 15 inch arm, 4 inches from the pivot point. Of the wiper turns through an angle of 135 degrees, how much area is swept clean?
Answers
Answer:
[tex]246.22\ \text{inches}^2[/tex]
Step-by-step explanation:
[tex]r_1[/tex] = Radius of arm = 15 inch
Length of blade = 11 inches
[tex]r_2[/tex] = Radius of point at which the blade is mounted = 4 inches
[tex]\theta[/tex] = Angle of the sector = [tex]135^{\circ}[/tex]
The required area is ABDE
[tex]ABDE=ACE-BCD\\\Rightarrow ABDE=\dfrac{\theta}{360^{\circ}}\pi r_1^2-\dfrac{\theta}{360^{\circ}}\pi r_2^2\\\Rightarrow ABDE=\dfrac{\theta}{360^{\circ}}\pi(r_1^2-r_2^2)\\\Rightarrow ABDE=\dfrac{135^{\circ}}{360^{\circ}}\pi(15^2-4^2)\\\Rightarrow ABDE=246.22\ \text{inches}^2[/tex]
The area which is swept clean is [tex]246.22\ \text{inches}^2[/tex]
Related Questions
PLEASE ANSWER ASAP LOOK AT THE PICTURE DUE IN 2 SECONDS !!!!!!!!!!!!!!
WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: its b
Step-by-step explanation:
Answer:
Its B
now the other person can get brainest
Solve distance 120 meters time 30 seconds
Answers
Answer:
4
Step-by-step explanation:
David wants to measure the diameter of his circular pool, but he does not have a tape measure long enough to reach across the pool. He measures around the pool edge and finds that it has a circumference of approximately 92 feet. Find the diameter. (Round to the nearest whole number)
Answers
Answer:
b because yryrhrhrhrheueygrhegrgrhrhhefegeyyegegehhegggegrgrgegeghrhthjejjwhrggegeggeggegfefefgegegyeygegrgrctgeggeggrgrgrgrggrgrgrgrggrgrgrgrgf5c55fgryeyyeyegrgr
Given m||n, find the value of x.
Answers
Answer:
57 degrees
Step-by-step explanation:
Same side interior angles are supplementary which means they both equal 180 degrees.
Simplify to create an equivalent expression. 7(2 + 2x) + (x + 2) - 6 =
help
Answers
Please help with this please
Answers
104°
This is because there are two lines, each line is 180°, so both is equal to 360°. Angle y and the one with 76° are the same, so that should mean angle z and x are the same. So you subtract 152° from 360° (76° doubled) and you get 208° leftover. Now to get the last two angles, you divide 208° by 2, so each angle should be 104°. :))
find the y intercepts and intersection point for each graph. then write a system of equation for each graph.
Answers
What steps would you do to solve 3x – 5 ≥ -12?
a. Add -12, then divide by 3.
b. Divide by 3, then add 5.
c. Multiply by 3, then subtract 5.
d. Add 5, then divide by 3.
Answers
Answer:
D.)
Step-by-step explanation:
In order to solve you would need to first get the number with the variable by itself. So first we'd need to add 5 to the other side and we would add it bc when we move a number over the equals sign (which is what were considering the greater than sign to solve)
Eight more than four times a number is 28.
Choose the correct answer below.
A. 4x - 8 = 28
B. 4x + 8 = 28
C. 8x + 4 = 28
D. 8x - 4 = 28
E. 4(x + 8) = 28
Answers
URGENT HELP ONLY ALLOW RIGHT ANSWER
Answers
Answer:
(2,9)
That's where the maximum is at making it the vertex
I'd appreciate it if you gave me branliest
because that’s the vertex of the parabola .
A right triangle has side lengths of 3cm, 4cm, and 5cm. What is the sine of the angle opposite the side of length 4cm
Answers
In a right triangle, the sine of the angle opposite the side of length 4 cm is 0.8 cm.
In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.
The angle opposite the side of length 4 cm can be calculated as:
The hypotenuse is the side of length 5 cm.
The calculation of the sine of the angle can be calculated using the formula:
[tex]Sine = \dfrac{Opposite}{hypotenuse}[/tex]
Substitute the value in the given formula.
[tex]Sine(A) = \dfrac{4}{5}[/tex]
Sine(A) = 0.8
So, the sine of the angle opposite the side of length 4 cm is 0.8 cm.
Learn more about hypotenuse here:
https://brainly.com/question/29407794
#SPJ12
when the input is n followed by +2×3 what is the output
Answers
Answer:
To find output try adding 1.5 to each input number, hope this helped.
Step-by-step explanation:
18 This distance-time graph shows Ryan's jouney from his home to Jack's house and back home again. Ryan stops at the local shop on the way home,
Answers
Brian, Pip and Sara share some sweets in the ratio 4:3:1. Brian gets 60 sweets. How many did
Sara get?
Help please
Answers
4x = 60
X = 60/4 = 15
Saro got 15 sweets
⚠️RIGHT ANSWER GETS BRAINLIEST*⚠️
Answers
Answer:
Table a
Hope this helps
Answer:
Table C
Step-by-step explanation:
3x6 is 18 + 2 is 20, 4x6 is 24 + 2 is 26, 5x6 is 30 +2 is 32
Mr. ward paid 250$ for a new microwave the sales tax rate was 7% find the amount of sales tax
Answers
Please help me find the slope if you answer this I’ll mark you brainliest. Picture below
Answers
Answer:1111
Step-by-step explanation:9*064
Answer:
undefined
Step-by-step explanation:
it's just up and down, no rise over run or anything
Help please...............
Answers
Answer:
Ratio - 9:19
Fraction - 9/19
A baseball league has 12 coaches for 216 players. What is the ratio of
coaches to players?
Answers
Answer: coaches : players -- 1 : 18
Step-by-step explanation:
what is 1/3 of 1/4 jkkkkkk
Answers
Step-by-step explanation:
(1/3)1/4
1/12
i guess this is it lol
which expression is equivalent to 5b + 30?
A: b+6
B: 5b+6
C: 5(b+6)
D: 5(bx6)
Answers
Answer: C
Step-by-step explanation:
The scale drawing of the tennis court shown below is drawn using a scale of 1 inch (in.) = 12 feet (ft).
Answers
Answer:
Decrease the length 21 m 48 cm by 5
%
Page 1:
Question 4 (5 points)
Saved
1
2
3
(5.3)
4
5
6
7
8
9
(5.23
10
11
12
In the graph above, what's the distance between (5,-2) and (5, 3)?
13
14
15
A) -5 units
OB) 5 units
16
17
18
C) 1 unit
19
20
D) 3 units
Answers
9514 1404 393
Answer:
5 units
Step-by-step explanation:
The points (5, -2) and (5, 3) are on the same vertical line. The distance between the points is the distance between their y-values:
3 -(-2) = 5 . . . units
Estimate fraction sum and differences ⅛ + ¼
Answers
Answer:
3/8
Step-by-step explanation:
Well 1/8 is 1/2 of 1/4, so if you were to add 1/8 to 1/4 you would get 3/8. The different would be 2/8. Those are exact answers not estimates.
Which of the following is not a function?
Answers
The answer is the first choice
Step-by-step explanation:
because the two goes into 4 and 5, in order for it to be a function the x value has to be used once
Select the correct answer.
If and , what is the domain of g(x) ÷ f(x)?
A.
B.
C.
D.
Answers
which will give you [0,4) ∪(4, ∞).
Choice B
The domain of g(x) ÷ f(x) is [0, 2) U (2, ∞). Option D
How to determine the domainWe must take into account the restrictions on both g(x) and f(x) in order to determine the domain of the function h(x) = g(x)/f(x).
There are no restrictions on x for g(x) = x² - 9. This is to avoid a zero denominator.
The square root function needs the parameter (x) to be non-negative (x 0) for f(x) =[tex]2 - x^(^1^/^2^)[/tex] to work. We also exclude out x = 2 because the denominator cannot be zero.
Combining these restrictions, the intersection of the g(x) and f(x) domains yields the domain of h(x), which is:
Domain of h(x) in interval notation is [0, 2) U (2, ∞).
Learn more about functions at: https://brainly.com/question/11624077
#SPJ2
What is the implicit premise in the following argument? Because it is hard to find four-leaf clovers, I will be lucky to find one.
Answers
Answer: Either it is not hard to find four leaf clovers, or i would be lucky to find one.
Step-by-step explanation:
An assumption is any assertion or concept that is taken to be true and on which an argument or argument may be based.
From the argument is centered on the probability of finding a four leaf clover.
It is an already established fact that four leaf clovers are rear to come by so it would require a lot of luck to actually find one.
Helppppp me please i need the answer fast <3
Answers
Answer:
5
Step-by-step explanation:
Answer:
|5| = 5
Step-by-step explanation:
Absolute value can be seen as the distance between a number and zero. It is always a positive number. 5 is 5 units away from 0. |5| = 5, and |-5| would also be 5. It's important not to get absolute value confused with opposites.
PLS HELP ILL MARK BRAINLIST
Answers
Answer:
The answer is the first one 7
Answer:
The answer is 7, the first one
Step-by-step explanation:
7*7=49
15w2+62w+63=0
Can you help me
Answers
Answer:
w=-7/3 and w=-9/5
Step-by-step explanation:
Given: 15w^2+62w+63=0
Factor: (3w+7)(5w+9)=0
Zero Product Property: 3w+7=0 and 5w+9=0
Solve each equation: w=-7/3 and w=-9/5
Let me know if you would like me to explain more.