Answer:
-32
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
First of all cross-multiply.
1/2x=1/4
(1) x (4) =1 x 2x
4=2x
After flip the equation.
2x=4
Then divide both sides by 2.
2x/2=4/2
x=2
Answer: $447.04
Step-by-step explanation:
Amount (A) = Simple interest + Principal,
Simple interest = (Principal * rate * time)
A = (P * r * t) + P
Principal (P)= $440
rate (r)= 32% or 0.032 as a decimal
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:
Explanation:
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<u>2. Given intensity:</u>
<u>3. Decibels</u>