Answer: 150 feet : 100 feet
Step-by-step explanation:
From the question, we are informed that the scale used by Eric was 1inch=5feet.
If the gym is 30 inches by 20 inches in the drawing, the acual length and width of the gym would be:
Length = 30 inches = 30 × 5 feet = 150 feet
Width = 20 inches = 20 × 5 feet = 100 feet
Therefore, the acual length and width of the gym would be 150 feet by 100 feet
Answer:
2x
Step-by-step explanation:
Answer:
r = 5
Step-by-step explanation:
The formula for volume of a cone is 
h = 6
V = 50π
r = 5
Answer:
x = 2
Step-by-step explanation:
Taking antilogs, you have ...
2³ × 8 = (4x)²
64 = 16x²
x = √(64/16) = √4
x = 2 . . . . . . . . (the negative square root is not a solution)
___
You can also work more directly with the logs, if you like.
3·ln(2) +ln(2³) = 2ln(2²x) . . . . . . . . . . . write 4 and 8 as powers of 2
3·ln(2) +3·ln(2) = 2(2·ln(2) +ln(x)) . . . . use rules of logs to move exponents
6·ln(2) = 4·ln(2) +2·ln(x) . . . . . . . . . . . . simplify
2·ln(2) = 2·ln(x) . . . . . . . . . . . subtract 4ln(2)
ln(2) = ln(x) . . . . . . . . . . . . . . divide by 2
2 = x . . . . . . . . . . . . . . . . . . . take the antilogs
Answer:
The other factor is 
Step-by-step explanation:
we know that
In this problem we have
and
-----> because is a factor
substitute and solve for b
so
Verify in the second equation
-----> 
-----> 
--> is ok
The other factor is
