109.31
To find this you can convert 58% to decimal form, which is .58. Once you have a decimal form of a percent, you can multiply it by the number you are taking the percent of and get an answer. So .58 times something equals 63.4. You can write this as an equation:
.58x = 63.4
and solve for x, which would get 63.4/.58, which equals 109.31.
Answer:
B) 4,608.
Step-by-step explanation:
A square pyramid with the maximum volume that can fit inside a cube has a same base as a cube ( 24 cm x 24 cm ) . The height of the pyramid is also same as a side length of a cube ( h = 24 cm ).
The volume of the pyramid:
V = 1/3 · 24² · 24 = 1/3 · 576 · 24 = 4,608 cm³
Answer:
The maximum volume of the pyramid is 4,608 cm³.
Answer:
a) 
b) The lowest point of 
, 
is when x = 
Step-by-step explanation:
a) To simplify the expression 
you must:
Apply Difference of Two Squares Formula: 
Apply the Pythagorean Identity 
From the Pythagorean Identity, we know that 
Therefore,
![324[-\tan ^2\left(x\right)+\sec ^2\left(x\right))]\\324[+1]\\325](https://tex.z-dn.net/?f=324%5B-%5Ctan%20%5E2%5Cleft%28x%5Cright%29%2B%5Csec%20%5E2%5Cleft%28x%5Cright%29%29%5D%5C%5C324%5B%2B1%5D%5C%5C325)
b) According with the below graph, the lowest point of , is when x =
F(x)=x^3-9x
and
g(x)=x^2-2x-3
so you just need to divide f(x) by g(x)
Therefore:
f(x)/g(x) = (x^3-9x) / (x^2-2x-3)
and of course you need to factor these two function to see if some factor would cancel another
x^3-9x = x(x^2-9)=x(x-3)(x+3)
and
x^2-2x-3 = (x-3)(x+1)
