Answer:
2
Step-by-step explanation:
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)
Answer:
1/4 of 16 is 1/4 times 16 which equals 4:) hope this helps
Step-by-step explanation:
Answer:
Step-by-step explanation:
Money earned by bookstore is $ 12753
<em><u>Solution:</u></em>
Given that college bookstore sold 327 textbooks for $ 39 each
<em><u>To find: Money earned by bookstore</u></em>
From given question,
Cost of 1 book = $ 39
<em><u>Therefore money earned from selling 327 textbooks is given as:</u></em>
Money earned from selling 327 textbooks is calculated by multiplying cost of 1 book by 327
cost of 327 books = cost of 1 book x 327
cost of 327 books = 39 x 327
cost of 327 books = 12753
Thus bookstore earned $ 12753 from selling 327 books