Answer:
180 CDs
Step-by-step explanation:
So if Sam has 84 CDs, and the ratio from Sam to Alice is 7:8, we can do 84/7=12 so each number is equal to 12. Then we add up 7 and 8 and get 15, so we do 15*12 and we get 180.
Answer:
10
Step-by-step explanation:
Given expression is 
.
is a complex expression.
The value of<em> i </em>is –1.
By definition of absolute value, 
Now, substitute in the above formula.
(since <em>i </em>= –1)
(since 
and 
)
(Square root of 100 is 10)
= 10
Hence, the value of the expression is 10.
Answer:
A.
Step-by-step explanation:
Surface area of the original cone
When, radius is quadrupled and slant height is reduced to one sixth
Plug the above values of r and 
in equation (1), new surface area becomes:
Answer:
ST = 12 units
Step-by-step explanation:
As RA is parallel to ET, the angle in R is equal to the angle in T, and the angle in A is equal to the angle in E, so the triangle RAS is similar to the triangle SET.
If RT is 21 units, we have that RS + ST = 21 -> RS = 21 - ST
Using a rule of three with the sides of the triangle (as they are proportional), we have:
RS / ST = AR / ET
(21 - ST) / ST = 6 / 8
4 * (21 - ST) = 3*ST
84 - 4*ST = 3*ST
7*ST = 84
ST = 12 units
Answer:
r = 
Step-by-step explanation:
A = πr-32
using algebraic manipulation to isolate r
A + 32 = πr-32 + 32
A + 32 = πr
(A+32)/π = πr/π
r =
