I'd start by writing an equation for each of the right triangles. (Pythagorean theorem)
y² + 9² = z²
x² + z² = (4+9)²
4² + y² = x²
we want to find z so combine the equations by substituting the other variables x,y out.
substitute y² for (x² - 4²) in 1st equation.
(x² - 4²) + 9² = z²
now by rearranging the 2nd equation we can substitute x² for (13² - z²)
(13² - z²) - 4² + 9² = z²
169 - z² - 16 + 81 = z²
234 - z² = z²
234 = 2z²
234/2 = z²
117 = z²
√(117) = z
√(9*13) = z
3√(13) = z
13 goes in the box
First you find the area of the circle using the radius then multiplying that to the height. That gets the full volume. Using that measurement multiply it by 5/6 to figure out what 5/6 of the volume is. Good luck!
The simplified expression of
is
.
Solution:
Given expression is
.
To simplify the given expression.

Using exponent rule: 

Using another exponent rule: 


Using exponent rule: 


Hence the simplified expression of
is
.
The first 3 months are 250
6 months are 500
9 months are 1000
12 months are 2000
15 months are 4000
18 months are 8000
21 months are 16000
24 months are 32,000 which is two years
Answer:
x=5/2
Step-by-step explanation:
Calculate, rewrite, remove the paretheses
Collect the like terms
Swap sides 75=30x swap to 30x=75
Then divide both sides