Answer:
Therefore the Last option is correct

Step-by-step explanation:
Given:
Radius = r = 8 in
θ = 42°
To Find:
Area of Sector = ?
Solution:
We know that

Substituting the given values in the formula we get

Which is the required Answer.
Therefore the Last option is correct

About 94.24778. The radius is 3.
Answer:
Step-by-step explanation:
The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height. Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height. Thus, the volume of this box must be
V(x) = (28 - 2x)*(22 - 2x)*x
and we want to maximize V(x).
One way of doing that is to graph V(x) and look for any local maximum of the graph. We'd want to determine the value of x for which V(x) is a maximum.
Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of x at which V is at a maximum.
I have provided the function that you requested. If you'd like for us to go all the way to a solution, please repost your question.
4x/9 = 5/27
Multiply both sides by 9 to give
4x = 45/27
Now multiply both sides by 27 to give
108x = 45
Now divide both sides by 108 to give
x = 45/108
Reduce the fraction to give
x = 5/12
Answer:
A
Step-by-step explanation:
given 3xy + 4yz + 8xz = 10
subtract 8xz from both sides leaving the terms in y together
3xy + 4yz = 10 - 8xz
take out the common factor y on the left side
y(3x + 4z) = 10 - 8xz
divide both sides by (3x + 4z)
y =
→ A