Answer:
Step-by-step explanation:
Notice that 
.
The diagram already marks 
, so we just need to find 
.
and 
are vertical angles, which means they are equal in measure.
Therefore,
Since there are 
on each side of a line, we have the following equation:
.
Plugging in 
, we have:
.
Therefore,
.
Answer:
The Answer is 25
Step-by-step explanation:
Answer:
14 millimeters
Step-by-step explanation:
V=(4/3)πr³
1372π(1/3)=(4/3)πr³
1372=4r³ <em>(cancel out the pi and multiply both sides by 3)</em>
r³=343
r=7
Diameter is twice the radius = 2(7) = 14
Answer:
$8100·1.024^28
Step-by-step explanation:
The future value formula is ...
FV = P(1 +r/n)^(nt)
where P is the principal invested, r is the annual interest rate, n is the number of times per year interest is compounded and t is the number of years. Putting the given numbers in place of the corresponding variables gives the expression you want:
FV = $8100(1 +.048/2)^(2·14)
FV = $8100·1.024^28 . . . . . simplified
Answer:
81
Step-by-step explanation:
We have to solve the following multiplication: (−27) (5−8)
First, we are going to simplify the second parenthesis, before performing the multiplication:
(−27) (5−8) = (−27)(-3) = 81.
The result is positive given that minus times minus equals plus.
