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andre [41]
3 years ago
7

Determine the measure of the angle theta to the nearest degree

Mathematics
1 answer:
aleksklad [387]3 years ago
4 0

Answer: B. θ = 36°

Step-by-step explanation:

<u>Concept:</u>

Here, we need to know the idea of the Law of sines.

In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of a triangle (any shape) to the sines of its angles.

The Law of sines: a / sinA = b / sinB = c / sinC

If you are still confused, please refer to the attachment below for a graphical explanation.

<u>Solve:</u>

a = 10 m

c = 11.2 m

C = 41°

<em>Given formula</em>

a / sinA = c / sinC

<em>Substitute the value into the formula</em>

10 / sinA = 11.1 / sin (41)

<em>Cross-multiply to simplify the equation</em>

sinA × 11.1 = 10 · sin (41)

<em>Divide 11.1 on both sides</em>

sinA × 11.1 / 11.1 = 10 · sin (41) / 11.1

sinA = 10 · sin (41) / 11.1

<em>Apply arcsine or the inverse of sine (basically representing the division of sine)</em>

A = sin⁻¹ (10 · sin (41) / 11.1)

A = 36°

Hope this helps!! :)

Please let me know if you have any questions

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Answer:

  about 70 years

Step-by-step explanation:

Life expectancy (e) improves by 5.7 years every 10 years, so 5.7/10 = 0.57 years per year. For t years after 2009, it can be modeled by ...

  e = 0.57t +80

We want to find when that is 120:

  120 = 0.57t +80

  40 = 0.57t

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About 70 years from 2009, humanity may achieve a life expectancy of 120 years.

3 0
3 years ago
Find x so that a is parallel to b. (4x+11) , (8x+1)
yan [13]
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         /4    /4
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4 0
3 years ago
Help me!!!! And please provide steps w/ answer!!
Anvisha [2.4K]
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7 0
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The cost to have tile installed varies directly with the size of the room ta
geniusboy [140]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
Which of the following is equal to 6^5 - 6^4 / 5 = ?
IgorLugansk [536]

Answer:

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Step-by-step explanation:

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Subtract:

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5 0
3 years ago
Read 2 more answers
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