Answer:
the volume of the pipe is 649.98 cubic inches.
Step-by-step explanation:
We have been given that a collar of Styrofoam is made to insulate a pipe. We are asked to find the volume of the given pipe.
We will use volume of hollow cylinder formula to solve our given problem.
where,
R = Radius of external cylinder,
r = Radius of internal cylinder.
h = Height of cylinder.
substituting our given values in above formula, we will get:
Therefore, the volume of the pipe is 649.98 cubic inches.
Answer:
f(3)= 156
Step-by-step explanation:
f(x)=12(3x+4)
f(x)=12(3(3)+4) =12(9+4) = 12(13) = 156
f(3)= 156
Answer:
56.72mm
Step-by-step explanation:
BQ = 34 - 16 = 18mm
Using similar triangle,
AQ = QC =(16*18)/34 = 8.47mm
AC = 2*8.47 = 16.94 mm
Since
BC = AB = sqrt( AQ² + BQ²)
BC = AB = sqrt( 8.47² + 18²)
BC = AB = 19.89mm
Perimeter of triangle ABC = AB + BC + AC
P = 19.89 + 19.89 + 16.94
Perimeter = 56.72mm
Answer:
3. (x-6)
Step-by-step explanation:
x^2-5x-6
--
Find factors of -6 that could be added that equals to -5
Factors=
-6 and 1
x^2-5x-6 factored is (x-6)(x+1)
so the answer would be (3) (x-6)
Answer:
While slavery was the major issue separating the North and South, it was not slavery itself that sparked the conflict. The South wanted to secede from the Union, and the North refused. While President Abraham Lincoln personally opposed slavery, he recognized that it was legal under the U.S. Constitution at the time. He also recognized that few in the North were ready to go to war to free the slaves. For Lincoln and the northern majority, preservation of the Union was the foremost goal.
