Answer: 84.14
Step-by-step explanation:
Area of the rectangle is L*W=B*H
14*5=70
To find the area of the half circle we must use the formula pi r^2/2
r=radius
and the radius is 6 because we add 4 and 4 and need to get to 14
because the line below it is 14 and it is a rectangle so the lengths are the same.
Diameter=6
So radius =3
pi (3)^2/2=
9/2 pi + 70=
84.14
Answer:
radius=11.5
diameter=23
Step-by-step explanation:
The volume of a sphere is V=4/3 Pi r^3
We can use this to solve for the radius.
555.4= 4/3 (3.14)r^3
Solve for r how you would any other equation. Multiply 4/3 and 3.14.
555.4=4.187 r^3
Divide both sides by 4.187
132.65=r^3
To get rid of the ^3, find the cube root of both sides on a calcualtor.
r= 11.5
The diameter is the radius time two.
11.5 (2)=23.
Hope this helps!
Note: When I say both sides, I mean both sides of the = sign.
Answer:

Step-by-step explanation:
The given exponential form is:

The base of the given expression on the right is 13 and the exponent is 2.
The number is 169.
In terms of logarithms, the base still remains the base and the exponent becomes the result of the logarithm of the number 169 to the given base 13.

Hey there :)
To find the slope with <em>two points</em> we will need to use the equation 

( 3 , -20 ) ( 5 , 8 )
Here is what the equation should look like when replaced with the numbers (<em>it will be a fraction</em>) :

We know that <em>two negatives</em> cancel out and make a positive, so the numerator would actually be 8 + 20.
Solve the fraction and we get 
28 <em>divided</em> by 2 is 14. The slope is 14.