Answer:
108
Step-by-step explanation:
Because the area formula is a*b and 12*9 is 180
So the answer is 180 which is A
I hope this helps :)
Answer:
$2.50
Step-by-step explanation:
Jake's total expenditure is ...
total = admission + c × (number of tickets)
36 = 13.50 + 9c . . . an equation to solve
4 = 1.50 +c . . . . . . . divide by 9
2.50 = c . . . . the cost of one ticket
Each ticket cost Jake $2.50.
Answer:
Part I: cot(15 degrees) = cot(45 - 30)
Part II: Evaluation is below
Step-by-step explanation:
<em>Everything is done in degrees</em>
<em />
Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)
We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:
(4 + 2sqrt(3))/2 = 2 + sqrt(3)
I hope this helps! :)
Let the amount invested with 5% interest be x
Therefore, the amount invested with 6% interest will be (6000-x)
It is given that the total interest earned yearly is $337.5. Thus, the equation of interest will be:

Multiplying both sides by 100 we get:


Subtracting both sides by 36000 we get:


Thus, the amount invested at 5% is $2250
Therefore, the amount invested at 6% will be $(6000-2250)=$3750
Answer:
2500
Step-by-step explanation:
Let the first square number be
then the next square number is
.
The difference between these two consecutive numbers is 99.
This implies that:

We expand to get:

Simplify:


Divide both sides by 2

Therefore the value of the larger perfect number is
.