Answer:
DE=21 AE=57
Step-by-step explanation:
the ratio between sides is the same for DE so 17/34=DE/42
solving you get 21. For AE the radio between is 51/34 times 38= 1.5*38=57
Answer:
$877.50
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year.
Solving our equation:
A = 650(1 + (0.05 × 7)) = 877.5
A = $877.50
Answer:
Step-by-step explanation:
, where b, h, w are base, height and width respectively.
, where h is the height, and A_b is the area of the base.
First let's calculate the volume of the paralelipiped by the first formula.

Then let's find out the height of the pyramid, which is 12 - 4 = 8 in.(See drawing)
Then the area of the base of the square pyramid is simply.

Now we can find the volume of the pyramid.

To find the total volume, let's add both volumes.

Answer:
Option (A)
Step-by-step explanation:
The given expression is,

Since
and 


Therefore, 



Option (A) will be the answer.