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1 year ago

Solve the equation for theta (0°≤theta<360°)2 sin theta = 1

Mathematics

1 answer:

Oduvanchick [21]1 year ago

4 0

Answer:

30 degrees

Step-by-step explanation:

To figure out theta is using a bit of simple trigonometry.

2sin(theta) = 1

= sin(theta) = 0.5

Using arcsin (sin^-1) we can isolate x

x = arcsin(0.5)

x = 30

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Step-by-step explanation:

To find the values of the angle which makes maximum r you use the derivative of r

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hence, the answer is:

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2 years ago

The wheels on Madison's bike are 64 inches in circumference. How many times do the wheels rotate if Madison rides 300 yards?

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Step-by-step explanation:

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AlekseyPX

Answer:

His 95% confidence interval is (0.065, 0.155).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

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For this problem, we have that:

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So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.11 - 1.96\sqrt{\frac{0.11*0.89}{186}} = 0.065$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.11 + 1.96\sqrt{\frac{0.11*0.89}{186}} = 0.155$

His 95% confidence interval is (0.065, 0.155).

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2 years ago

Solve the equation for theta (0°≤theta<360°)2 sin theta = 1​

Solve the equation for theta (0°≤theta<360°)2 sin theta = 1