Answer:
3rd side = 2x + 6y
Step-by-step explanation:
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See The Attachment My Friend.....
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Answer: 55.25
Step-by-step explanation:
Divide 110.5 by 2 which give you 55.25
So in every hour the car travels at 55.25 miles per hour
Answer:
<u>108°</u>
Step-by-step explanation:
Formula :
<u>Degree Measure = Arc length / radius x 180/π</u>
Solving :
Degree Measure = 3π/5 x 180/π
Degree Measure = 3 x 36
Degree Measure = <u>108°</u>
Answer:
Austin will have to buy 180 squares of carpeting.
Step-by-step explanation:
First find the dimension of the room. We do that by multiplying the width times the length and then subtracting the cut out region in the top right. And, in order to know how big that region we cut out is, we have to do a little subtraction.
We know the room is 18' long on the left side and 12' long on the right side. We subtract 12 from 18 to get 6, and we know that the cut out region is 6' long. We do the same thing with the width, 25' wide at the bottom minus 10' wide at the top and we see that the cut out is 15' wide.
18 x 25 = 450
6 x 15 = 90
450 - 90 = 360. The area of the room is 360 
Each piece of carpet is 2' by 1'. So for every 2' long, the piece of carpet is 1' wide. Each carpet piece will cover 2
. Divide 360 by 2 and you get 180.
The length of the curve
from x = 3 to x = 6 is 192 units
<h3>How to determine the length of the curve?</h3>
The curve is given as:
from x = 3 to x = 6
Start by differentiating the curve function

Evaluate

The length of the curve is calculated using:

This gives
![L =\int\limits^6_3 {\sqrt{1 + [x(9x^2 + 6)^\frac 12]^2}\ dx](https://tex.z-dn.net/?f=L%20%3D%5Cint%5Climits%5E6_3%20%7B%5Csqrt%7B1%20%2B%20%5Bx%289x%5E2%20%2B%206%29%5E%5Cfrac%2012%5D%5E2%7D%5C%20dx)
Expand

This gives

Express as a perfect square

Evaluate the exponent

Differentiate

Expand
L = (6³ + 6) - (3³ + 3)
Evaluate
L = 192
Hence, the length of the curve is 192 units
Read more about curve lengths at:
brainly.com/question/14015568
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