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kari74 [83]
3 years ago
7

In the given figure, line m is parallel to line n, and line a is parallel to line b.

Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0

Answer:

vertical angles theorem

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48.9 is 58% of what number?​
tangare [24]

Answer:

84.48

Step-by-step explanation:

Formula = Number x 100

Percent = 49 x 100

58 = 84.48

4 0
2 years ago
Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.
Nataliya [291]

Answer:

The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.

Step-by-step explanation:

The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.

Given :

Joshua has a ladder that is 12 ft long.

He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground.

For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°.

Check the angle that the ladder makes with the ground:

The ladder is safe when the angle the ladder makes with the ground to be no greater than 75° but  is  so, the ladder won't be safe.

To make the ladder safe, the height should not be 11.8ft.

The height from ground to top of the ladder is < 11.6 ft for safety reasons.

3 0
2 years ago
How many american dollars can be cxchanged by NRs100000​
balandron [24]

Answer:

877.1929824561 dollars

Step-by-step explanation:

100000÷114= 877.1929824561 dollars

hope it helps!

4 0
2 years ago
Find the remaining trigonometric functions of θ based on the given information.csc θ = 257 and cos θ &lt; 0
katrin [286]
Cos(<span>θ) < 0, so we know it would be in Quadrant 2 or 3
then csc(</span>θ) = 257, but csc(θ) = \frac{1}{sin(θ)} = 257
==> sin(<span>θ) = \frac{1}{257}
it is positive, so now we can determine that is in Quadrant 2

sin(</span>θ) = opp./hyp both of opp and hyp are positive but adj suppose to negative because that way it leads the cos(<span>θ) < 0
</span>cos(<span>θ) = adj/hyp
</span>Pythereom to find the adj: 257^{2} -  1^{2}  = adj ==\ \textgreater \  adj  \sqrt{ 257^{2} -   1^{2} } ==\ \textgreater \  adj = 16 \sqrt{258}

cosθ = \frac{16 \sqrt{258} }{257} &#10;
tanθ = \frac{1}{16 \sqrt{258} }
cos<span>θ = </span>16 \sqrt{258}
6 0
3 years ago
Find the quotient of 3 2/5 and 3 1/6 . Express your answer in simplest form.
ladessa [460]
Decimal Form: 1.07
Mixed Number:1 7/95


3 0
3 years ago
Read 2 more answers
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