Answer:

Step-by-step explanation:
Use the formula for a semicircle's perimeter.

Plug in 6 for d.

Let's use 3.14 for
, just to make it easier, but of course, if it states to round it to something else, just plug in that many values for
.

Answer:
the volume of sand is 
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, rectangular prism.
Given data

if the sandbox is filled with sand of
deep the volume of the sand in the box will be calculated based on the the depth of the sand
converting the depth of sand from mixed fraction to proper fraction we have 
the expression for the volume of a rectangular prism is

substituting our data into the expression we have

Answer:
The y-intercept is the point (0,-8)
see the attached figure
Step-by-step explanation:
we have

we know that
The y-intercept is the value of the function f(x) when the value of x is equal to zero
so
For x=0

therefore
The y-intercept is the point (0,-8)
see the attached figure to better understand the problem
Answer:
23
Step-by-step explanation:
Basically I did it backwards & opposites:
-28 divided by -7 = 4
4 + 19 = 23
I checked btw and it worked.
This seems like a right triangle problem.
So assuming 14 feet is the hypotenuse and 4 feet is a leg of the right triangle, we can use the pythagorean theorem (
) to solve for the height of the house, in which we shall name it x.
So, the equation is
.
Solve for x:
16+x^{2}= 196
x^{2}= 196-16
x^{2}= 180
x = 6√5 feet
Hope this helps!