Answer:
6 inches
Step-by-step explanation:
the formula for the volume of a rectangular prism is width*length*height.
Here we are asked to find the height when given a volume. The resultant equation is:
volume = w * l * h
192 cu.in. = 4in*8in*h(inches), simplify the equation by dividing each side by 32 (which is 4*8) to yield:
192 cu.in./32 sq.in.= h inches
6 inches = height
Answer:
x=-2/5
Step-by-step explanation:
4(-3x-1)=13x+6 ~ Distribute the 4 into the parenthesis
-12x-4 = 13x+6 ~ add 12x to both sides
-4= 25x + 6 ~ subtract 6 from both sides
-10 =25x ~ divide by 25
-10/25 = x ~ simplify the fraction by dividing the num. and den by 5
-2/5 =x
Answer:

Step-by-step explanation:
The perimeter of a circle is the circumference of the circle. To find it, use the formula
.
The diameter here is two times the radius x, d = 2x. But here it has been decreased by 2 so it becomes d = 2x - 2.
Substitute into the formula.

Answer:
90
Step-by-step explanation:
Note:
The equation for a circle with center at (h,k) and radius r is
(x-h)² + (y-k)² = r²
For the specified circle,
h=4, h=7.
From the diagram shown below, the radius, r, is determined from the Pythagorean Theorem as
r² = 3² + 3² = 18
Therefore the equation for the circle is
(x - 4)² + (y - 7)² = 18
Answer: (x - 4)² + (y - 7)² = 18