Answer:
the other x intercept would be -0.6
Step-by-step explanation:
Answer:
$57
Step-by-step explanation:
they payed $14.25 for 3 tickets, 3 times 4 = 12 so you multiply $14.25 by 4
2/3 is 0.6. 1/2 is 0.5.
so 0.6 is less than 0.75 and it will round up to 0.5, not to 1.
so 4 2/3 will round to 4 1/2.
Answer:
φ ≈ 1.19029 radians (≈ 68.2°)
Step-by-step explanation:
There are simple formulas for A and φ in this conversion, but it can be instructive to see how they are derived.
We want to compare ...
y(t) = Asin(ωt +φ)
to
y(t) = Psin(ωt) +Qcos(ωt)
Using trig identities to expand the first equation, we have ...
y(t) = Asin(ωt)cos(φ) +Acos(ωt)sin(φ)
Matching coefficients with the second equation, we have ...
P = Acos(φ)
Q = Asin(φ)
The ratio of these eliminates A and gives a relation for φ:
Q/P = sin(φ)/cos(φ)
Q/P = tan(φ)
φ = arctan(Q/P) . . . . taking quadrant into account
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We can also use our equations for P and Q to find A:
P² +Q² = (Acos(φ))² +(Asin(φ))² = A²(cos(φ)² +sin(φ)²) = A²
A = √(P² +Q²)
_____
Here, we want φ.
φ = arctan(Q/P) = arctan(5/2)
φ ≈ 1.19029 . . . radians
2,400 divided by 12 is 200
it eat 200 a month gl
