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Archy [21]
3 years ago
6

Sophie went to the lake with her family. First, they spent 1 1/4 hours of fishing. Then, they spent twice as much time swimming.

How much time did they spend fishing and swimming in all?
Mathematics
1 answer:
Cloud [144]3 years ago
3 0
Overall, they spent 3 3/4 hours fishing and swimming.
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. A triangle has side lengths of 8, 7, and 14. To the nearest tenth of a degree find the measure of the angle opposite the side
4vir4ik [10]

Given:

The measure of three sides of a triangle are 8, 7 and 14.

To find:

The measure of the angle opposite the side of length 8.

Solution:

According to the Law of Cosine:

\cos A=\dfrac{b^2+c^2-a^2}{2bc}

Let a=8, b=7 and c=14, then by using Law of Cosine, we get

\cos A=\dfrac{7^2+14^2-8^2}{2(7)(14)}

\cos A=\dfrac{49+196-64}{196}

\cos A=\dfrac{181}{196}

Taking cos inverse on both sides.

A=\cos^{-1}\dfrac{181}{196}

A=22.561328

A\approx 22.6

Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.

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antiseptic1488 [7]

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

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Y+2=-3(x-4)<br> Find the missing value in the solution to the equation. ( , -2)
koban [17]

Answer:

(4,-2)

Step-by-step explanation:

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Step-by-step explanation:

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