Answer:
Your answer choice is correct.
Step-by-step explanation:
The length of the semicircle is ...
s = π·r = π(4 in)
The three sides of the rectangular section total ...
9 in + 8 in + 9 in = 26 in
The sum of these lengths make up the perimeter of the figure:
P = 4π in + 26 in
P = (4π +26) in
Answer:
Step-by-step explanation:
a hemisphere is half a sphere.
And if the formula for the volume of a sphere is:
we must calculate the volume of the sphere and in the end divide by two to find the volume of the hemisphere.
Since the radius is:
substituting this into the formula for volume:
this is the volume of the total sphere, thus the volume of a hemisphere is:
rounding to the nearest tenth:
We know that: <span>3(x-1)^2-162=0
or (x-1)</span>²= 162:3
and (x-1)²= 54
we <span>take the square root of both sides
* x-1=</span>√54= 3√6 or x=1+3√6
* x-1= -<span>√54= -3√6 or x=1-3√6
This equation has 2 solutions</span>
Answer:
Step-by-step explanation:
- (x³ + 1) / (x - 1) =
- (x³ - 1 + 2) / (x - 1) =
- (x³ - 1)/(x - 1) + 2/(x - 1) =
- (x - 1)(x² + x + 1)/(x - 1) + 2/(x - 1) =
- x² + x + 1 + 2/(x - 1)
Answer:
see below
Step-by-step explanation:
6 - (3x+10) + 4(2 - x) =15
Distribute
6 - 3x -10 +8 -4x = 15
Combine like terms
4 -7x = 15
Subtract 4 from each side
4 -7x-4 =15-4
-7x =11
Divide each side by -7
-7x/-7 = 11/-7
x = -11/7
