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Answer:
C. 5
Step-by-step explanation:
OXA is a 3-4-5 right triangle, so the circle radius is OA = 5.
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By the Pythagorean theorem,
AO² = OX² +AX² = 3² +4² = 9 +16 = 25
AO = √25 = 5 . . . . circle radius
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<em>Comment on Pythagorean triples</em>
The triple of integers (3, 4, 5) is the smallest triple of integers that satisfies the relation of the Pythagorean theorem. The next smallest set is (5, 12, 13). These, and a few other similar triples such as (7, 24, 25) and (8, 15, 17) are often used in algebra and geometry problems because they make the numbers work out nicely. It is worthwhile to learn to recognize these.
the answer would be b.
(f+g)(x)= 3x-2+2x+1. combine like terms: 3x+2x=5x and -2+1+-1. combine the answers to get 5x-1
Answer:
- Amplitude = 48
- Interpretation: The vertical distance from the center line to either the highest point or the lowest point is 48 feet. It represents half the total vertical distance from peak to valley.
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Explanation:
The facts "The right lasts for 18 minutes" and "tickets are just $2" are not relevant to this question.
All we care about really is the h(t) function.
The general sine function is
y = A*sin(B(x-C)) + D
where
- |A| = amplitude
- B is used to find the period T = 2pi/B
- C is the horizontal phase shift
- D is the vertical shift and y = D is the center line
Here we have A = 48 so |A| = |48| = 48 is the amplitude. If you graphed the h(t) function, you would find that y = 55 is the center line and y = 55+48 = 103 is the highest y value possible, while y = 55-48 = 7 is the lowest y value possible.
In short, the Ferris wheel reaches the highest point of 103 feet and the lowest point of 7 feet off the ground.
