Answer:
25/3 ft/s
Step-by-step explanation:
Height of pole , h=15 ft
Height of man, h'=6 ft
Let BD=x
BE=y
DE=BE-BD=y-x
All right triangles are similar
When two triangles are similar then the ratio of their corresponding sides are equal.
Therefore,







Differentiate w.r.t t

We have dx/dt=5ft/s
Using the value

Hence, the tip of his shadow moving with a speed 25/3 ft/s when he is 45 feet from the pole.
Answer:
The baseball mitt was $37 and the ball was $7
Step-by-step explanation:
Let m represent the cost of the mitt and let b represent the cost of the ball
Set up a system of equations:
m + b = 44
m = 5b + 2
Solve by substitution by plugging in 5b + 2 as m in the first equation:
5b + 2 + b = 44
Solve for b:
6b + 2 = 44
6b = 42
b = 7
Plug in 7 into the first equation and solve for m:
m + b = 44
m + 7 = 44
m = 37
So, the baseball mitt was $37 and the ball was $7
The domain of the function given are:
y=cot x
{x∈R: πn<x<π(n+1)} where n any integer
y=csc x
{x∈R: πn<x<π(n+1)} where n any integer
y=cos x
R (all real numbers)
y=sec x
{x∈R:π(n+1/2)<x<π(n+3/2)} where n is all integers.
from above we see that the the function that has a domain of all real numbers except npi is y=cot x and y=csc x
The first one is 146555 and the second one is 148555
.41, just move the decimal over 2 places when there is a percentage