Solve the problem.A balloon is secured to rope that is staked to the ground. A breeze blows the balloon so that the rope is taut while the balloon is directly above a flag pole that is 40 feet from where the rope is staked down. Find the altitude of the balloon if the rope is 60 feet long.
A. 20
ft
B. 20
ft
C. 10
ft
D. 2
ft
Answer: B
Mathematics
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Find the average value of the function f over the given region.f(x, y) = ex2 over the region bounded by 
, 
, 
, and 
.
A. 
B. 
C. e - 1
D. 2e - 1
Mathematics
Evaluate the integral.
A. - 3 tan3 x + C B. 9 tan x + 3 tan3 x + C C. 3 tan3 x + C D. 9(sec x + tan x)5+ C
Mathematics
Determine whether the given value is a solution to the equation.6x - 2 = 10, x = 2
A. Yes B. No
Mathematics
Simplify the expression. All variables represent positive real numbers.
A. 2500
B. 5
C. 
D. 4
Mathematics