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Anika [276]
3 years ago
5

State whether the given measurements determine zero, one, or two triangles.

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
8 0
I bet you're doing the Law of Sines right now. If you use the law of sines you find out that angle A is a 90 degree angle. There is only one triangle you can make with these measurements because if you have one angle of 30 and another of 90, the 3rd angle has to be a 60 degree angle. So it is a special right triangle, 30-60-90
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The Pythagorean theorem is a² + b² = c². Solve for b. b=±c+a−−−−√ b=±c2−a2−−−−−−√ b=±c2+a2−−−−−−√ b=±c−a−−−−√
uysha [10]

a^{2} +b^{2} =c^{2}

As we have to solve for b, it means we have to isolate b

So first of all subtract a^{2} from both sides

So we get

b^{2} =c^{2} -a^{2}

Now we need b , but its b^2 , so we can take square root on both sides.


taking square roots on both sides

b= +- \sqrt{c^2 -a^2}


Hence option B is correct

4 0
3 years ago
please help me find these answers! Ill give brainliest and 5 stars ill make sure to thank you! just please help im suffering ove
Damm [24]

Answer:

4:     3  1/4 inches

5:     13 inches

Step-by-step explanation:

4 0
2 years ago
Add the two expressions. −2.4n−3 and −7.8n+2 Enter your answer in the box. plz help QUICK!!!!!!!!!!
Nikolay [14]
-2.4n-3+-7.8n+2
you combine like terms
(-2.4n+-7.8n)+(-3+2)
= -10.2n-1
8 0
3 years ago
I really need help on my algebra review
Ilya [14]

Answer:

the slope becomes 3 and the graph moves up 7 units. 2. The slope becomes 5 and the graph moves down 2 units.

]

5 0
2 years ago
The perimeter of a pool is 96 feet. If the length of the pool is 3 times its width, what is the width of the pool? Labeling the
k0ka [10]

Answer:

12 feets

Step-by-step explanation:

Let the area of the pool be Length×width

There will be 2lengths and 2widths as well so the perimeter of the pool will be the addition of all the sides of the pool i.e 2L + 2W = 96... (1)

And since the length of the pool is 3 times its width, we have

L = 3W... (2)

Substituting equation 2 into 1 to get the width 'W'

2(3W) + 2W = 96

6W + 2W = 96

8W = 96

W = 96/8

W = 12feets

The width of the pool is 12feets

4 0
3 years ago
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