We know that sin2x=2sinxcosx
(search the net for proof if you wish)
So the original equation becomes
2sinxcosx-sinx=0
The two terms both have sinx that can be taken out to get:
sinx(2cosx-1)=0
This is true if sinx=0 or 2cosx-1=0 , rewritten: cosx=1/2
sinx=0 than x=2kπ
cosx=1/2 than x=π/3+2kπ
where k is an integer
Answer:
212.5
Step-by-step explanation:
Here's a theorem about triangle areas.
If two similar triangles have sides in the ratio x:y,
then their areas are in the ratio x2:y2
The triangles have sides in the ratio:
LP/LN = 10/25
The two triangles have areas in the ratio 100:625 (4/25)
For every 4 in the small triangle, there are 25 in the larger triangle.
34/4 = 8.5
25 times 8.5 =212.5
Equation (1)
Equation (2)
Get y alone in equation (1)
Insert y in equation (2)
The two numbers are 8,13.
Step-by-step explanation:
Let,
smaller number = x
Larger number = x+5
According to given statement;
Smaller number + Bigger number = 3x-3
Smaller number = 8
Larger number = 8+5 = 13
The two numbers are 8,13.
Keywords: algebraic equation, addition
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Triangle is equilateral with sides of 6.
Therefore all angles = 60°
Ht of 30-60-90 is 3sr3 = 5.196
Area of 30-60-90 = 1/2×b×h = 3×5.196
Area = 15.59
Pie slice from each corner = 60/360×pi×r^2, with r = 3
1/6×pi×9 = 4.71 × 3 pie slices = 14.13
So, shaded inner region = area triangle - 3 pie corners = 15.59-14.13
= 1.46
