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Svetllana [295]
2 years ago
14

The left windshield wiper on a Chevrolet Traverse cleans an area of 500.3in ^2.when in motion it has a cleaning pattern that arc

s 98 degree . What is the length of the windshield wiper? Approximate the length to the nearest inch.
Mathematics
1 answer:
Mamont248 [21]2 years ago
8 0

The length of the windshield wiper to the nearest inch is 24 inches

<h3>How to calculate the area of a sector</h3>

The formula for calculating the area of a sector is given as:

A = r²β/2

r is the length of the wiper

β is the subtended angle

Given the following

A = 500.3 square in

β = 98 degrees = 98pi/180 = 49pi/90

Substitute

500.3 =  r²49pi/180
500.3 = 153.86r²/180

153.86r² = 90054
r² = 585.298

r = 24.19

Hence the length of the windshield wiper to the nearest inch is 24 inches

learn more on sector here: brainly.com/question/22972014

#SPJ1

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A bag contains 135 marbles some white and some transparent. The ratio of white marbles to transparent ones is 3 : 6. How many wh
Setler [38]

Answer:

Number of white marbles in the bag = 45

Step-by-step explanation:

Total number of marbles in the bag = 135

Ratio of white marble to transparent ones = 3 : 6

Let number of white marbles be =3k

Then number of transparent marble will be =6k

Total number of marbles will be =3k+6k=9k

So we have.

9k=135

Dividing both sides by 9.

\frac{9k}{9}=\frac{135}{9}

∴ k=15

∴ Number of white marbles in the bag = 3k=3\times15 = 45

5 0
3 years ago
At what point on the curve y = 2 + 2ex − 4x is the tangent line parallel to the line 4x − y = 3? (x, y) =
Papessa [141]

Answer:

{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)

Step-by-step explanation:

From this equation 4x − y = 3

-y = 3 - 4x

then, y = 4x - 3

From line equation y = mx + b

Therefore, the slope is 4

Since the are parallel line, they will have same slope

Finding the derivative of y = 2 + 2e^x − 4x

y = 2 + 2e^x − 4x

y' = 0 + 2e^x - 4

Therefore,

4 = 2e^x - 4

4 = e^x

x = ln 4 = 1.39

To find the y coordinate

y = 2 + 2e^x − 4x

y = 2 + 2e^ln 4 − 4 ln 4

y = 4.45

Hence, they are parallel at point (1.39 and 4.45)

3 0
3 years ago
Function: y = 2(x + 3)² +1
erastovalidia [21]

Answer:

10x

Step-by-step explanation:

3 0
3 years ago
a line with the slope of 1/3 passes through the points of (6,0). what is the equation in slope intercept form?​
sleet_krkn [62]

Answer:

y = 1/3x -2

Step-by-step explanation:

the equation for slope intercept form is y= mx + b.

m is the slope and b is where the line crosses the y-axis which is called the y-intercept.

to find the y-intercept plug in a coordinate on the line (6,0)

0 = 1/3(6) + b

then solve for b by first multiplying 1/3 by 6

0 = 2 + b

subtract 2 from both sides

-2 = b

and then you can plug b into the equation

y = 1/3x - 2

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2 years ago
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