Answer: [C]: "All rectangles are quadrilaterals."
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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)
I believe the correct answer from the choices listed above is option B. The variable y is the independent variable here and x is the dependent variable so the function can be represented as f(y). The function should be written as:
<span>x = f(y) = 7 + y</span>
Answer:
(3250/100)*80 = $ 2600 - 3250 = $650
Step-by-step explanation:
Answer:
Hey there!
40+12(27)+18
40+324+18
364+18
382
Let me know if this helps :)