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Otrada [13]
3 years ago
12

Angle RST measures 80 degrees. Ray SU bisects the angle. What is the measure of the two smaller angles?

Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0

Answer:

40 degrees

Step-by-step explanation:

Because Angle RST is bisected by ray SU it is then split into two even angles and the resulting two angles will be 40 degrees apiece.

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Answer: option a.

Step-by-step explanation:

By definition, we know that:

cos^2(\theta)=1-sen^2(\theta)\\\\tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

Substitute sin(\theta)=\frac{6}{11} into the first equation, solve for the cosine and simplify. Then, you obtain:

cos(\theta)=\±\sqrt{1-(\frac{6}{11})^2}\\\\cos(\theta)=\±\sqrt{\frac{85}{121}}\\\\ cos(\theta)=\±\frac{\sqrt{85}}{11}

As sec\theta then cos\theta:

cos(\theta)=-\frac{\sqrt{85}}{11}

Now we can find tan\theta:

tan\theta=\frac{\frac{6}{11}}{-\frac{\sqrt{85}}{11}}\\\\tan\theta=-\frac{6\sqrt{85}}{85}

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Step-by-step explanation:

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A woman is walking at the rate of 90 yards per minute. How fast is she going in feet per second?
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She is going at the rate of 4.5 feet per second.

Step-by-step explanation:

Given:

The rate of walking is 90 yards per minute.

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yes

Step-by-step explanation:

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