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
Answer:
9/20
Step-by-step explanation:
Step 1:
1/4 + 1/5
Step 2:
5/20 + 4/20
Answer:
9/20
Hope This Helps :)
Answer:
Sin(E) = 
Step-by-step explanation:
The full question is as follows :
To find - In the accompanying diagram, what is sin E?
Proof -
We know that,
Sin(theta) = (opposite side) / (hypotenuse)
From the diagram, we can see that,
Base = 3
Perpendicular = 5
Hypotenuse = 5
So,
For angle E,
Opposite side = 4
Hypotenuse = 4
∴ we get
Sin(E) =
Answer:
61
Step-by-step explanation:
Hope this helps and good luck!:D
