Answer:
1/6a-1/6
Step-by-step explanation:
-2/3 transferred into 6th's is -4/6. You combine like terms, -4/6a+5/6a=1/6a
Then since -1/6 doesn't have a like term, it stays the same.
Answer:
19.29%
Step-by-step explanation:
Given
Population in 1990
= 254000000
Population in 2014
= 303000000
Increase = 303000000 - 254000000
= 49000000
% increase in population =
Increase /initial population x 100%
That’s
49000000/254000000 x 100%
0.1929 x 100%
19.29%
The population increased by 19.29%
20 buttons in total
Because he has
5 white buttons
2 fewer brown
5-2 =3
So 3 brown
9 more gray than brown
3+9 = 12
12 gray buttons
5+3+12=20
Numerator
<span><span>cos<span>(<span>π/2</span>−x)</span></span>=<span>cos<span>(<span>π/2</span>)</span></span><span>cosx</span>+<span>sin<span>(<span>π/2</span>)</span></span><span>sinx</span></span>
now <span><span>cos<span>(<span>π/2</span>)</span></span>=0 and <span>sin<span>(<span>π/2</span>)</span></span>=1</span>
simplifies to : 0 + sinx = sinx
Denominator
<span><span>sin<span>(<span>π/2</span>−x)</span></span>=<span>sin<span>(<span>π/2</span>)</span></span><span>cosx</span>+<span>cos<span>(<span>π/2</span>)</span></span><span>sinx</span></span>
simplifies to : cosx + 0 = cosx
<span>⇒<span><span>cos<span>(<span>π/2</span>−x)</span></span><span>sin<span>(<span>π/2</span>−x)</span></span></span>=<span><span>sinx/</span><span>cosx</span></span>=<span>tan<span>x</span></span></span>
X=7.5 area= 42
You know that the total perimeter is 39 so to find x you need to add what you already have. You’ll find there are 3 sides you don’t know the length of and all you have to do is find the shorter one which is basically 9-7=2 then add everything together and subtract it from 39 then divide it by 2 to find the two sides left