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Answer:
38.9 square inches.
Step-by-step explanation:
We are asked to find the difference in area covered by a single 3 inch windshield wiper operating with a central angle of 138 degrees compared to a pair of 5 inch wipers operating together each having a central angle of 114 degrees.
We will use area of sector formula to solve our given problem as:
, where, r represents radius and theta represents central angle.
Let us find area of sector with central angle 140 degree and radius 3 inch.



Now, we will find area of sector with central angle 114 degree and radius 5 inch and multiply by 2 as:




Let us find difference of area as shown below:



Therefore, the difference in area covered is approximately 38.9 square inches.
Answer:
Step-by-step explanation:
Given

and 
So, 
Substitute the value of
in 


So it represent a parabola shown in the figure
Stays the Same: 1,2,3,4
Goes Up: 5,6,7,8, etc...
1. The number 5 is located in the thousands place
2. Since the number 6 is located in the hundreds place, it's telling 5 to go up a number (turning 5 into a 6)
275,608 ⇒ 276,000
So the answer is 276,000
After solving the equation, x < -3 is the value of inequality 2-3 x<11
⇒ 2-3x < 11
⇒ -3x < 11 - 2
⇒ -3x < 9
⇒ x < -9/3
⇒ x < -3
<h3>How to solve an equation?</h3>
To solve linear equations, utilize the steps that are provided below.
- Remove parentheses from each side of the equation and combine similar terms to make it simpler.
- To separate the variable term on one side of the equation, use addition or subtraction.
- To find the variable, use division or multiplication.
- The common denominator can be multiplied by each side of the equation to eliminate fractions.
Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
Learn more about linear equations
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