In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest
inch.

Answers

Answer 1

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

[tex]m\angle G+m\angle H+m\angle I=180^\circ[/tex]

[tex]30^\circ+29^\circ+m\angle I=180^\circ[/tex]

[tex]59^\circ+m\angle I=180^\circ[/tex]

[tex]m\angle I=180^\circ-59^\circ[/tex]

[tex]m\angle I=121^\circ[/tex]

According to Law of sines,

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

Using Law of sines, we get

[tex]\dfrac{h}{\sin H}=\dfrac{i}{\sin I}[/tex]

[tex]\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}[/tex]

[tex]\dfrac{300}{0.4848}=\dfrac{i}{0.8572}[/tex]

Multiply both sides by 0.8572.

[tex]\dfrac{300}{0.4848}\times 0.8572=i[/tex]

[tex]530.44554=i[/tex]

[tex]i\approx 530[/tex]

Therefore, the length of i is about 530 inches.


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Answer:

Step-by-step explanation:

Answer A is correct.  Remember that a radius stems from the center and ends on the rim of the circle, as shown here.

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hope this helps :))

PLEASE HELP ASAP WILL MARK BRAINLIEST

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the answer is C good luck on ur test

Answer: ima answer so u can give him brainliest

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PLS HELP WITH THIS QUESTION!!!!! I’ll give brainliest

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Answer:

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Step-by-step explanation:

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HELP! plz worth 40 points if u help wit all of them. plzz due in 10 mins where I live.
Plus brainliest and ( Ik Itz NOT math but plzz)

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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.
Correct answer selected

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Answer:

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Answers

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PLS HELP, WILL GIVE BRAINLIEST AND POINTSSSSSS
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Answers

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Answers

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The expression represents the sum of 5 and 2x.

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The expression represents 5 plus 2 times x.
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Answer:

The expression represents the sum of 5 and 2x.The expression represents 5 plus x plus x.The expression represents 5 plus 2 times x.

I need help on this and if you the first person to answer this correctly then I would mark you BRANILIST​

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C

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Answers

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<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

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<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

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Answers

A= 72 1/2 the arc when connected to the edge of the circle
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u just gotta find the area​

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Step-by-step explanation:

Karen took out a loan for $725 with a 2.5% interest rate that is compounded annually. No additional money will be deposited or withdrawn from the account. How much in interest will Karen pay back at the end of 18 months?

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