Answer:

Step-by-step explanation:
Here we see tan(B) has opposite side of 12 and adjacent of 9
using the formula:



You can resolve all of them.
so the first one would be 3q+2p
that second 2p+3q
the third 2p+2q+q which equals 2p+3q
they all end up as the same thing so both are equivalent
Answer:
Surface area = 80yd
Step-by-step explanation:
4x3 + 4x4 + 4x3 + 4x4 + 4x3 + 4x3 = 80
hope this helped :D
Step-by-step explanation:
Area of shaded region = area of exterior rectangle - area of interior rectangle

The simple way of calculating a perimeter is to add all of the sides.
For a rectangle this would equal 2 x length + 2 x width
P = 2(6x + 3) + 2(-2x - 5)
= 12x + 6 - 4x - 10
= 8x - 4
At a higher level both the length and width must be greater than zero (= zero is a trivial rectangle)
6x + 3 > 0
6x > -3
x > -0.5
-2x - 5 > 0
2x + 5 < 0 (multiplying by -1 reverses the inequality)
2x < -5
x < -2.5
This rectangle cannot exist as x cannot be < -2.5 and > -0.5 at the same time!