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Aleksandr-060686 [28]
3 years ago
15

Marlena has 3 straws. Two straws have the lengths shown. She does not know the length of the shortest straw, but when she forms

a triangle with all three, the triangle is obtuse. Which are possible lengths of the shortest straw? Check all that apply. 5 inches 6 inches 7 inches 8 inches 9 inches
Mathematics
2 answers:
natka813 [3]3 years ago
8 0

The correct answer is 5, 6, and 7.

swat323 years ago
6 0
The correct answer to this is 5,6,7, good luck 
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3 years ago
PROVE THAT:<br><br>cos 20° - sin 20° = ​​ \sqrt{2}sin25°<br><br>​
Lemur [1.5K]

Answer:

See below.

Step-by-step explanation:

\cos(20)-\sin(20)=\sqrt{2}\sin(25)

First, use the co-function identity:

\sin(90-x)=\cos(x)

We can turn the second term into cosine:

\sin(20)=\sin(90-70)=\cos(70)

Substitute:

\cos(20)-\cos(70)=\sqrt{2}\sin(25)

Now, use the sum to product formulas. We will use the following:

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Substitute:

\cos(20)-\cos(70)=-2\sin(\frac{20+70}{2})\sin(\frac{20-70}{2})\\\cos(20)-\cos(70)  =-2\sin(45)\sin(-25)\\\cos(20)-\cos(70)=-2(\frac{\sqrt{2}}{2})\sin(-25)\\ \cos(20)-\cos(70)=-\sqrt{2}\sin(-25)

Use the even-odd identity:

\sin(-x)=-\sin(x)

Therefore:

\cos(20)-\cos(70)=-\sqrt{2}\sin(-25)\\\cos(20)-\cos(70)=-\sqrt{2}\cdot-\sin(25)\\\cos(20)-\cos(70)=\sqrt{2}\sin(25)

Replace the second term with the original term:

\cos(20)-\sin(20)=\sqrt{2}\sin(25)

Proof complete.

4 0
4 years ago
On a math test, the highest grade is 38 points higher than the lowest grade. Which of the following expressions represents the a
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Answer:

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5 0
3 years ago
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Shalnov [3]

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Step-by-step explanation:

I think the third part of the question should be (c,3) not (2,3)

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8 0
2 years ago
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Harrizon [31]

Answer:

82.8

Step-by-step explanation:

area of the parallelogram = base × height

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Answered by GAUTHMATH

8 0
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