Answer:
Step-by-step explanation:
This is a related rates problem from calculus using implicit differentiation. The main equation is going to be Pythagorean's Theorem and then the derivative of that. Pythagorean's Theorem is
where c is the hypotenuse and is a constant. Therefore, the derivative of this with respect to time, and using implicit differentiation is
and dividing everything by 2 to simplify a bit:
. Upon analyzing that equation, it looks like we need values for x, y,
, and
. And here's what we were given:
and
In the greater realm of things, that's nothing at all.
BUT we can use the right triangle and the angle we were given to find both x and y. The problem we are looking to solve is to
Find
at the instant that
= .5.
Solving for x and y:
and
6tan45 = x ( and since this is a 45-45-90 triangle, y = x):
so
and now we can fill in our derivative. Remember the derivative was found to be
so
and
and
and multiplying by the reciprocal of the left gives us:
so

According to my geometry notes two planes intersect at a line. Hope that helps:)
Answer:
Length is 7, Permimeter is 28
Step-by-step explanation:
Perimeter=4×side
(8x-28)=4×x [let length be x]
8x-28=4x
8x-4x=28
4x=28
x=28÷4
x=7
Length = x = 7
Perimeter=(8x-28)
=(7×8)-28
=56-28
=28
Answer:

Step-by-step explanation:
The equation would be
