Answer:
y = 5cos(πx/4) +11
Step-by-step explanation:
The radius is 5 ft, so that will be the multiplier of the trig function.
The car starts at the top of the wheel, so the appropriate trig function is cosine, which is 1 (its maximum value) when its argument is zero.
The period is 8 seconds, so the argument of the cosine function will be 2π(x/8) = πx/4. This changes by 2π when x changes by 8.
The centerline of the wheel is the sum of the minimum and the radius, so is 6+5 = 11 ft. This is the offset of the scaled cosine function.
Putting that all together, you get
... y = 5cos(π/4x) + 11
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The answer selections don't seem to consistently identify the argument of the trig function properly. We assume that π/4(x) means (πx/4), where this product is the argument of the trig function.
Answer:
100π or about 314.16
Step-by-step explanation:
The formula for the area of a circle is (pi)*(radius^2)=area.
The radius is 10, so plugging that in you get pi*10^2=area.
Simplifying, you get Area=100π, or about 314.16
Answer:
(1, 1), (2, 4), (3, 9), (4, 16)
Step-by-step explanation:
You recognize that, of the numbers in Y, 20 is not a square. You also recognize that the remaining values of Y correspond to the squares of the values of X:
(x, x^2) = {(1, 1), (2, 4), (3, 9), (4, 16)}
Answer:
Properties of Real Numbers ...
Step-by-step explanation:
Commutative Property of Multiplication (Numbers) 2 • 10 = 10 • 2
Associative Property of Addition (Numbers) 5 + (6 + 7) = (5 + 6) + 7
Associative Property of Multiplication (Numbers) 6 • (3 • 2) = (6 • 3) • 2
Additive Identity (Numbers) 6 + 0 = 6