Answer:
18
Step-by-step explanation:
90% of 20 is 18
Answer:
6
Step-by-step explanation:
one third of 12 is 4
4x
one third of 24 us 8
4x-8=16
4x= 24
x=6
Answer:
sin(A+B) = 297/425
Step-by-step explanation:
This problem involves a couple of Pythagorean triples, and the trig identity for the sine of the sum of angles.
The Pythagorean triples involved are {8, 15, 17} and {7, 24, 25}. These tell us the other trig functions of the given angles:
sin(A) = 8/17 ⇔ cos(A) = 15/17
cos(B) = 24/25 ⇔ sin(B) = 7/25
The trig identity we're using is ...
sin(A+B) = sin(A)cos(B) +cos(A)sin(B)
sin(A+B) = (8/17)(24/25) +(15/17)(7/25)
![\sin(A+B)=\dfrac{8\cdot24+15\cdot 7}{17\cdot25}\\\\\boxed{\sin(A+B)=\dfrac{297}{425}}](https://tex.z-dn.net/?f=%5Csin%28A%2BB%29%3D%5Cdfrac%7B8%5Ccdot24%2B15%5Ccdot%207%7D%7B17%5Ccdot25%7D%5C%5C%5C%5C%5Cboxed%7B%5Csin%28A%2BB%29%3D%5Cdfrac%7B297%7D%7B425%7D%7D)
_____
<em>Check</em>
A = arcsin(8/17) ≈ 28.072°
B = arccos(24/25) ≈ 16.260°
sin(A+B) = sin(44.332°) ≈ 0.6988235
sin(A+B) = 297/425
Answer:
The answer would be A. 1 1/5
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!
Step-by-step explanation: