9y+7 + 7y-19 = 180
Y =12 degrees
Answer:
A. v(t) = sin (2πft + π/2) = A cos (2πft)
Step-by-step explanation:
According to trigonometry friction, the following relationship are true;
Sin(A+B) = sinAcosB + cosAsinB
We will be using this relationship to check which option is true.
Wave equation is represented as shown;
y(t) = Asin(2πft±theta)
For positive displacement,
y(t) = Asin(2πft+theta)
If theta = π/2
y(t) = Asin(2πft+π/2)
y(t) = A[ sin 2πftcosπ/2 + cos2πft sin π/2]
Since sinπ/2 = 1 and cos (π/2) = 0
y(t) = A[ sin 2πft (0)+ cos2πft (1)]
y(t) = A[0+ cos2πft]
y(t) = Acos2πft
Hence the expression that is true is expressed as;
v(t) = Asin(2πft+π/2) = Acos2πft
Answer:
175
Step-by-step explanation:
multiply the number of pieces by the number of bags he bought
If he is only buying one of each, then his total cost from each store would be:
John's: $23.89 + $15.67 + $9.99 = $49.55
Sam's: $21.35 + $12.45 + $12.99 = $46.79
So, Sam's has the better deal (proof above).
If he has 3 twenty dollar bills, then he has $60.
His change would be:
$60 - $46.79 = $13.21
If he bought two pants from Sam's (the store with the better deal), then his total would be:
<span>
(2)($21.35) + $12.45 + $12.99 = $68.14</span>