Answer:

Step-by-step explanation:
A right triangle is formed.
300 miles and 400 miles are the legs of the triangle.
We can apply Pythagorean theorem.




Answer:
(P, Q) = (-75, 57)
Step-by-step explanation:
The equation will have infinitely many solutions when it is a tautology.
Subtract the right side from the equation:
Px +57 -(-75x +Q) = 0
x(P+75) +(57 -Q) = 0
This will be a tautology (0=0) when ...
P+75 = 0
P = -75
and
57-Q = 0
57 = Q
_____
These values in the original equation make it ...
-75x +57 = -75x +57 . . . . . a tautology, always true
Answer:

Step-by-step explanation:
Given


Required
Determine the volume
The volume of a cylinder is calculated as thus:

Substitute values for r and h


<em>Hence, the volume of the cylinder is 18312.48mm³</em>
Answer: Here’s one I made up! Combined, Megan and Kelly worked 60 hours, Kelley worked twice as many hours as Megan. How many hours did they each work? Hope this helps!
The formula for the amount A in an account with principal P and interest rate r compounded annually for t years is
... A(t) = P(1+r)^t
You want to find A when P=400, r=0.05, and t=3. Substituting those values gives you
... A(3) = 400·(1 +0.05)³
The appropriate choice is
... A. A(3) = 400·(1 +0.05)³