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Basile [38]
2 years ago
8

Ethan is observing an amusement park ride where the riders go around in a counterclockwise circular motion. The

Mathematics
1 answer:
konstantin123 [22]2 years ago
3 0

A sinusoidal equation can be used to describe the height because the height depends on a periodic motion, and the equation can be written as:

h(t) = 13ft*sin(pi*t) + 24ft

<h3>Why a sinusoidal equation can be used?</h3>

Remember that the sine function has a periodicity, such that:

sin(x + 2pi) = sin(x).

So, for a circle where if you do a complete rotation you end in the initial place, so there can be a relation between the height and a sinusoidal equation.

Notice that the initial position is 24ft above the ground, so we can write this, at the moment, as:

h(x) = Asin(n*t) + 24ft

A is the amplitude, it defines the maximum height and minimum height, both depend on the radius (the maximum height is 24ft plus the radius, the minimum height is 24ft minus the radius) then we write:

h(t) = 13ft*sin(kt) + 24ft

k depends on how much time takes to do a full rotation. We know that the sine function does a "complete cycle" in 2pi, while the wheel does a full rotation in 2 seconds, then we have that:

k*2 = 2pi

k = (2pi)/2s = pi

Then the sinusoidal equation that represents the height is:

h(t) = 13ft*sin(pi*t) + 24ft

If you want to learn more about sinusoidal equations, you can read:

brainly.com/question/9478364

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Answer:

Step-by-step explanation:

Let M = total amount of money earned

M = 12x+8y

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Since Trevor is going to scoop ice cream for 20 hours, the equation is:

190<12x+8(20), which simplifies to 190<12x+160.

Isolate x to find the amount of hours that Trevor needs to tutor.

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30/12<x

2.5<x

Trevor must tutor for more than 2.5 hours to make more than $190.

4 0
3 years ago
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9x^2 -c =d

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divide by 9

x^2=(c+d)/9

take the square root on each side

x = +- sqrt ((c+d)/9)

simplify

x = +- 1/3 sqrt (c+d)

Answer: 1/3 sqrt (c+d), - 1/3 sqrt (c+d)

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3 years ago
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What’s the answer?????
posledela

Answer:9

Step-by-step explanation: x+4=13

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Step-by-step explanation:

\frac{19695}{x - 15605}  = 100

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Compare the given dimensions of four triangles. Which triangle is possible to construct? side lengths of 5 ft, 12 ft, and 13 ft
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(5,12,13) is a right triangle and can be constructed.
All the others do not satisfy the triangle inequality, i.e. the sum of two short sides must exceed the long side in order for the triangle to be constructed.
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2+11<15, so no
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