Answer: - 8.89%
I am going to explain you in detail ir order to help you to be able to do this kind of problems by yourself.
The definition of percent change, %, is:
change
% = ---------------- * 100
base value
The base value is from where you start or the value for which you want to asses the variation.
So, in this case the base value is 90 (starting value).
The change is final value - initial value = 82 - 90 = - 8. The negative sign means that the value decreased.
So, following the formula you get:
82 - 90 - 8
% = ----------- * 100 = -------- * 100 = - 8.89
90 90
Answer: the percent of change is - 8.89 %, meaning that the value decreased 8.89%.
Answer:
B. m∠B = 118°, a = 17, c = 18
Step-by-step explanation:
The answer choices all agree on the values of ∠B and c, so we only need to compute the value of side a.
We can verify angle B is ...
∠B = 180° -30° -32° = 118°
By the law of sines, ...
a/sin(A) = b/sin(B)
Multiplying by sin(A), we get ...
a = b·sin(A)/sin(B) = 30·sin(30°)/sin(118°) ≈ 16.98855
a ≈ 17.0 . . . units . . . . . matches choice B
__
If you like, you can also verify side c:
c = b·sin(C)/sin(B) = 30·sin(32°)/sin(118°) ≈ 18.00512
c ≈ 18.0 . . . units
Answer:
x = 26
Step-by-step explanation:
because JKL is 90 degrees
x+8 + 2x+4 =90
3x + 12 =90
3x = 78
x = 26
4,000
I know this because 2,000 • 2 = 4,000
