Answer:
Step-by-step explanation:
ignore the "at the instant the man is 30 feet away" part, set it as X and the man's shadow as Y.
Similar triangles so we can do
.
Solve for it we get 44y = 6x
Differentiate relative to time t, we get 44y' = 6x'.
change in x (x') is equal to 5. And we get the answer y' =
.
the
ft/sec is the rate of which the length of the shadow is changing. add 5 to it for the rate of the tip of his shadow moving away from the tower.
To find the money you make, take:
x(1 (+ or -) % interest rate) * Time
So in this case, it would be:
3800(1+0.04)(1) = Ans
and
3800(1+0.07)(1) = Ans
Assumably, combining those totals would give you $218. If you take the total of 3800(1+0.04)(1), subtract that from $218.
218 - (3800(1+0.04)(1)) = Your Answer
C
The construction described creates the incenter of the circle and this point is equidistant from all vertices of a triangle.
Answer:
D
Step-by-step explanation:
We equate both the y's and solve for x algebraically:

Now taking the value x= 14 and putting it in the 1st equation would give us y:

Hence the solution is (14,8), answer is D