For the answer to the question above, this is a right triangle problem using the tangent function.
<span>Tan(x) = Opposite (O) / Adjacent (A) </span>
<span>x = 40 degrees </span>
<span>A = 30 ft </span>
<span>Solve for O </span>
<span>O= Tan (x) * A </span>
<span>O = Tan (40) * 30 </span>
<span>Use your calculator or whatever method to get the tangent of 40 degrees (which is .84) </span>
<span>O = .84 * 30 </span>
<span>O = 25.2 Ft</span>
Answer: C
Step-by-step explanation:
We know that
, and thus by the exterior angle theorem,

Thus, 
Answer: 71
Step-by-step explanation:
F(8)= 2(8)^2-7(8)-1
=71
Answer:
5400
Step-by-step explanation:
Let x represent the cost of a chair and y represent the cost of a table. We can use this to set up a system of equations:
7x=2y
6x+5y=10575
We can solve this system using substitution.
Start by rewriting the first equation in terms of x.

Substitute this into the second equation:

Multiply both sides by 7

Divide both sides by 47

This means...

Divide both sides by 7

One chair costs 450. Now, multiply this number by 12 to find the cost of 12 chairs.

12 chairs cost 5400.