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Pie
3 years ago
9

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=54°, and RS = 26 feet. Find the length of QR to the nearest tenth of a foot.​

Mathematics
1 answer:
anastassius [24]3 years ago
7 0

You may use the law of sines, that states that in every triangle the ratio between a side and the sine of the opposite angle is constant.

So, in your case, we have

\dfrac{QR}{\sin(\hat{S})}=\dfrac{RS}{\sin(\hat{Q})}

We know that \hat{S} is 90 degrees, so its sine is 1. Also, we know that RS=26. So, the equation becomes

QR=\dfrac{26}{\sin(54)}

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3 years ago
Tasha invests $5000 annually at 6% and an additional $5000 annually at 8%. Thomas invests $10000 annually at 7%. Which statement
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Option B is correct.

Step-by-step explanation:

We will compare the interest earned by both.

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So, Amount after a year will be = = $5300

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Additional $5000 at 8%

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Amount in total Tasha will have in 2 years = 5618+5832 = 11450

Thomas:

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*****Just after 1 year we can see that Tasha's total amount is high than Thomas. This means at the same consistent rate, each year Tasha's amount will always be higher than Thomas.

So, option B is correct. Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.

6 0
3 years ago
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8 0
3 years ago
1. The producer of the news station posted an article about the high school’s football championship ceremony on a new website. T
Alex

Answer:

1.

hours / views

1. / 125

2. / 250

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3 years ago
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