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Naya [18.7K]
3 years ago
6

Todd bought a jetski through an interest free payment plan. The ski was $2000 and his payment were $250 each. What percent of th

e total cost are the payments
Mathematics
1 answer:
stepan [7]3 years ago
4 0

Answer:

12.5%

Step-by-step explanation:

\frac{250}{2000}  \times 100\%

= 12.5%

Percentage of total cost that is the payments= 12.5%

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Answer:

3 solutions:

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Step-by-step explanation:

So, first of all, we need to figure the angles that cannot be included in our answers out. The only function in the equation that isn't defined for some angles is tan(\frac{\theta}{2}) so let's focus on that part of the equation first.

We know that:

tan(\frac{\theta}{2})=\frac{sin(\frac{\theta}{2})}{cos(\frac{\theta}{2})}

therefore:

cos(\frac{\theta}{2})\neq0

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cos(\frac{\theta}{2})=0

\frac{\theta}{2}=cos^{-1}(0)

\frac{\theta}{2}=\frac{\pi}{2}+\pi n

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\theta=\pi+2\pi n

we can now start plugging values in for n:

\theta=\pi+2\pi (0)=\pi

if we plugged any value greater than 0, we would end up with an angle that is greater than 2\pi so,  that's the only angle we cannot include in our answer set, so:

\theta\neq \pi

having said this, we can now start solving the equation:

tan(\frac{\theta}{2})=sin(\theta)

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\frac{1-cos(\theta)}{sin(\theta)}=sin(\theta)

we can now multiply both sides of the equation by sin(\theta)

so we get:

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and we can now add cos^{2}(\theta)

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cos^{2}(\theta)-cos(\theta)=0

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cos(\theta)(cos(\theta)-1)=0

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cos(\theta)=1

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so we end up with three answers to this equation:

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