Answer:
8.4
Step-by-step explanation:
The diagonals of a rectangle are equal.
That means WY = XZ
16x+2 = 36x-6
Subtract 16x from each side.
16x -16x+2 = 36x-16x-6
2 = 20x -6
Add 6 to each side
2+6 = 20x-6+6
8 = 20x
Divide by 20
8/20 = 20x/20
2/5 =x
We want to find the length of the diagonal
WY = 16 ( 2/5) +2
Changing to decimal form
WY =16 * .4 +2
WY =6.4+2
= 8.4
Answer:
18000
Step-by-step explanation:
If we want to find how many miles it travels in one hour, we need to find jow many seconds are in one hour because as the problem said, it's wheel rotates 5 times per second.
there are 3600 seconds in an hour, so we multiply 3600 by 5, and we get 18000.
The car travels 18000 miles in one hour.
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
Answer:
Step-by-step explanation:
