Expand the target expression:
A sin(x + ϕ) = A (sin(x) cos(ϕ) + cos(x) sin(ϕ)) = -2 sin(x) + 4 cos(x)
Then we have
A cos(ϕ) = -2
A sin(ϕ) = 4
Recall that sin²(x) + cos²(x) = 1 for all x. Then
(A cos(ϕ))² + (A sin(ϕ))² = (-2)² + 4²
A² (cos²(ϕ) + sin²(ϕ)) = 4 + 16
A² = 20
A = √20 = 2√5
Also recall that tan(x) = sin(x)/cos(x) by definition. Then
(A sin(ϕ)) / (A cos(ϕ)) = 4 / (-2)
tan(ϕ) = -2
ϕ = arctan(-2) = -arctan(2)
He owes half as much so you would divide the amount (28) by 2. So the answer is 1. 28/2
No, because 14 cups of lemonade divided by 2 is 7, or, $7. $7 multiplied by 3 ( 3 afternoons) is 21, or, $21.
Answer:
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3
Answer:
- Firstly , See the attached picture! :) I splitted the provided figure into two rectangles i.e namely small rectangle & big rectangle !
- Find out the area of small rectangle having length of 14 ft & width of 12 ft :
- Find out the area of big rectangle having length of 20 ft and width of 19 ft :
- Now , Add the area of small rectangle & area of big rectangle :
- ✺ WORK HARD! So that tommorrow , your parents can be recognized by your name!
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