Answer:
Step-by-step explanation:
First we need to set this ratio up in the coordinate plane. Because this is tangent, the 3 goes opposite the reference angle and the 4 goes along the x-axis, adjacent to the reference angle. We see that we are missing the third side of the triangle when we do this, namely the hypotenuse. We use Pythagorean's Theorem to find that this side is 5. Now we have to deal with the identities for each sin(2A) and cos(2A).
sin(2A) = 2sin(A)cos(A)
We know from the triangle we drew in the coordinate plane that
and
so we fill in the formula accordingly and then simplify:

cos(2A) has 3 identities; I just picked the one I thought would be easiest to use and went with that one. Regardless of which one you pick you will get the same answer as long as you do the math correctly.
and filling in the formula:

I'm not sure why you have 7/2 there...
I think I’ve done this right maybe not but.
9). -0.35
I don’t know 10
5/8 - 5/12 ( 3 - 1/4 ) + 2/3=5/8-5/12*11/4+2/3=5/8-55/48+2/3=7/48
Answer:
Step-by-step explanation:
<u>Given</u>
<u>Solution for f(3)</u>
Answer:
Initial cost for a job = $2
Step-by-step explanation:
Let initial cost be $x.
Fixed amount for each copied page = $y
John:
Fixed amount for 425 pages = 425*y = 425 y
x + 425y = 10.50 ---------------(i)
Peter:
Fixed amount for 300 pages = 300 * y =300y
x + 300y = 8 ---------------------(ii)
Multiply (ii) by (-1) and add the both equation. Thus x will be eliminated.
(i) x + 425y = 10.50
(ii)*(-1) <u>-x - 300 y = - 8</u>
125y = 2.50
y = 2.50/125
y = $ 0.02
Plug in y value in equation (i)
x + 425*0.02 = 10.50
x + 8.50 = 10.50
x = 10.50 - 8.50
x = $2