Answer:
107810
Step-by-step explanation:
You can use the order of operations! So we start with 99^3/9. That is 99^2*11. So now let’s do 99/99, it’s 1. So 99^2*11 is 107811, so the answer is 107810.
Answer:
K/(4+9b) = a
Step-by-step explanation:
K = 4a + 9ab
Factor out a on the right hand side
K = a(4 + 9b)
Divide each side by (4+9b)
K/(4+9b) = a(4 + 9b)/(4+9b)
K/(4+9b) = a
Answer:
A complementary angle is 63 degrees and supplementary angle is 153 degrees.
Step-by-step explanation:
Complementary angle:
A complementary angle adds up to 90 degrees, so you have to subtract 27 from 90. 90-27=63
Supplementary angle:
A supplementary angle adds up to 180 degrees, so you have to subtract 27 from 180. 180-27=153
Answer:
Answer on Question #47534 – Math – Geometry
How to prove the volume formula of con is 1/3×π×r^2×h;without using
integration?
Solution.
Suppose we take a slice of the pyramid with the cone inside, from some way up
the pyramid. This will look like a square with a circle fitting inside. Radius of the
cone at this point, will be x.
The area of the circle is
The area of the square is × =
The ratio of the circle to the square is
.
The same is true for every slice we take: the area of the circle is
of the area
of the square.
So, the volume of the cone will be
the volume of the pyramid.
The pyramid's volume is
.
So the cone's volume is
∗
=
Answer:
The amount of interest is $5580.
Step-by-step explanation:
Given : Jacob borrowed $30, 000 to start up his consulting business. The loan had simple interest rate of 6.2% for 3 years.
To find : The amount of interest he will pay with the loan ?
Solution :
Using interest formula,
Where, P is the principal P=$30,000
R is the rate of interest R=6.2%=0.062
T is the time t=3 years.
Substitute the value in the formula,
Therefore, The amount of interest is $5580.
