We write this like this:
49=35%x
and we want to find the x.
let's invert the sides:
35%x=49.
35 is equal to 0.35
0.35*x=49
and now we only divide both sides by 0.35:
x=140
so the answer is 140.
(aternatively we can do it through fractions:
35/100*x=49
divide both sides by 7:
5/100*x=7
simplify the first fraction
1/20*x=7
and multiply by 20:
x=140
That is a isosceles triangle, therefore x and the top angle are the same.
There’s 180 degrees in a triangle.
Therefore:
(180 - 38)/2 = x
142/2 = x
71 = x
Answer:
x=11
Step-by-step explanation:
Below is the solution, I hope it helps.
<span>i) tan(70) - tan(50) = tan(60 + 10) - tan(60 - 10)
= {tan(60) + tan(10)}/{1 - tan(60)*tan(10)} - {tan(60) - tan(10)}/{1 + tan(10)*tan(60)}
ii) Taking LCM & simplifying with applying tan(60) = √3, the above simplifies to:
= 8*tan(10)/{1 - 3*tan²(10)}
iii) So tan(70) - tan(50) + tan(10) = 8*tan(10)/{1 - 3*tan²(10)} + tan(10)
= [8*tan(10) + tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)}
= [9*tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)}
= 3 [3*tan(10) - tan³(10)]/{1 - 3*tan²(10)}
= 3*tan(30) = 3*(1/√3) = √3 [Proved]
[Since tan(3A) = {3*tan(A) - tan³(A)}/{1 - 3*tan²(A)},
{3*tan(10) - tan³(10)}/{1 - 3*tan²(10)} = tan(3*10) = tan(30)]</span>
Answer:
The answer is A because when you do the math you get the answers