Answer:
circumference of a circle formula is C=2*pi*r
Step-by-step explanation:
then
141.3 = 2*pi * r
solve for r
141.3/ (2*pi) = r
22.48859 feet
diameter is 2*r
2*22.48859= 44.9771 feet
divide by 3 because there are 3 feet in one yard
44.9771/3= 14.99239 yds.
it doesn't say to round off, but I would call this 15 yds.
Diameter is 15 yards ± .008 yds That's just about 1/4 of an inch
Answer:
The surface area of the cuboid is 648 m^2
Step-by-step explanation:
What we have here is cuboidal in outlook
By using the formula for the surface area of a cuboid, we can get the surface area of the shape
mathematically, we have the surface area of a cuboid as follows;
2(lb + lh + bh)
where l is the length, b is the breadth (width) and h is the height
We can have the length as 9 m, the width as 9 m and the height as 13.5 m
Substituting these values, we have the surface area of the cuboid as;
A = 2(9(9) + 9(13.5) + 9(13.5))
A = 2(81 + 243)
A= 2(324)
A = 648 m^2
Parallel: the lines have = slopes. We thus need 5/6 to equal 2/p. then 5p must equal 12, and p = 12/5. (answer)
Check: Is 5/6 = 2 / (12/5)? YES
Perp.: The lines have slopes that are negative reciprocals of one another.
Then -6/5 = 2/p, or
-6 2
---- = ----
5 p Thus, -6p = 10, and p = -5/3 (answer)
Solve for x:
8 - 5 x = 2 x + 8
Subtract 2 x from both sides:
8 + (-5 x - 2 x) = (2 x - 2 x) + 8
-5 x - 2 x = -7 x:
-7 x + 8 = (2 x - 2 x) + 8
2 x - 2 x = 0:
8 - 7 x = 8
Subtract 8 from both sides:
(8 - 8) - 7 x = 8 - 8
8 - 8 = 0:
-7 x = 8 - 8
8 - 8 = 0:
-7 x = 0
Divide both sides of -7 x = 0 by -7:
(-7 x)/(-7) = 0/(-7)
(-7)/(-7) = 1:
x = 0/(-7)
0/(-7) = 0:
Answer: x = 0
Answer:
The answer is B.
Step-by-step explanation:
Solve for x.
-5x + 5 
160 - 10x
Add 10x to both sides, and subtract 5 from both sides.
5x 155
Now, divide by 5.
x 31 is the answer
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