Answer:
Below.
Step-by-step explanation:
We need to prove this identity by taking the left side and trying to transform it to the right side.
LHS = sin(150 + x) + sin(150 − x)
= sin 150 cos x + sin x cos 150 + sin 150 cos x - sin x cos 150
= 2 sin 150 cos x
= 2 * 1/2 * cos x
= cos x = RHS.
So it is proved.
Answer:
x^10
Step-by-step explanation:
x^10
Answer:
(16 + 8√3) in²
Step-by-step explanation:
The ratio of side dimensions for a 30°-60°-90° triangle are 1 : √3 : 2. If we call the horizontal dimension of the triangle its base, then its height (vertical dimension) will be √3×4 in. Of course the area of the triangle is ...
... A = (1/2)bh = (1/2)(4 in)(4√3 in) = 8√3 in²
The total sod area is the sum of the square area (16 in²) and the triangle area, so is ...
... area to cover = (16 +8√3) in²
_____
<em>Comment on problem dimensions</em>
The area involved here is not much larger than the size of your hand. It would make more sense for the dimensions to be in feet or yards or meters, rather than inches.
The answer is J
The rides she wants to ride cost 4+6+3 tickets so that goes on one side. She already has 7 tickets so you need to know 7 plus what will get her on those rides so those go on the other side. So you have:
7+t=4+6+3
Then you solve for t
7+t=13
t=13-7=6
Hope that helps.
