Answer:
Step-by-step explanation:
We are asked to find the volume of the cylinder. The formula for calculating a cylinder's volume is:
We know the height of the cylinder is 8 feet. We are given the diameter, the distance from edge to edge through the center. We want to find the radius, the distance from the edge to the center.
The radius is half the diameter.
- r = d/2
- r= 10 ft/2
- r=5 ft
We know both variables (h= 8ft and r=5 ft) and can substitute them into the formula.
Solve the exponent.
Multiply the numbers in parentheses.
The volume of the cylinder is <u>200π cubic feet and choice C is correct.</u>
The area of the square is 81 sq in, and the area of the circule is (3.14)(3 in)^2, or approx 3.14(9) sq in, or approx 28.27 sq in.
Subtract: 81 sq in - 28.27 sq in = approx. 52.73 sq in.
The difference is 52.73 sq in; the square is larger, the circle smaller.
Answer:
(
7
n+
3
) (
n
+
7
)
Step-by-step explanation:
factor by grouping
You know 1 is not a root because the sum of the coeffcients of the equation is 14, not zero.
It is fairly easy to try 3 by synthetic division (see attachment), which tells you that 3 is a root and the remaining quadratic factor is x²-3x-5. The quadratic formula tells you the roots of that factor are
... x = (-b±√(b²-4ac))/(2a) = (3±√29)/2
The appropriate choices are
... C. (3-√29)/2
... D. (3+√29)/2
... F. 3
_____
The quadratic formula tells you the solution to
... ax²+bx+c=0
is x = (-b±√(b²-4ac))/(2a)
We have a=1, b=-3, c=-5.
There are several possible terms which can be included given the sequence formula an = 4n - 7. If we list all the possibilities, here are as follows:
n an
0 -7
1 -3
2 1
3 5
. .
. .
. .
n an
Substitute any number n to an and you can get all the terms in the sequence.
