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irina1246 [14]
3 years ago
6

Pls help me not fail

Mathematics
1 answer:
nignag [31]3 years ago
4 0

Answer:

D

Step-by-step explanation:

Using the Cosine rule to find AC

AC² = BC² + AB² - (2 × BC × AB × cosB )

      = 18² + 12² - ( 2 × 18 × 12 × cos75° )

      = 324 + 144 - 432cos75°

      = 468 - 111.8

      = 356.2 ( take the square root of both sides )

AC = \sqrt{356.2} ≈ 18.9

-----------------------------------------

Using the Sine rule to find ∠ A

\frac{18}{sinA} = \frac{18.9}{sin75} ( cross- multiply )

18.9 sinA = 18 sin75° ( divide both sides by 18.9 )

sinA = \frac{18sin75}{18.9} , then

∠ A = sin^{-1} ( \frac{18sin75}{18.9} ) ≈ 66.9°

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hodyreva [135]
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3 0
3 years ago
Six boys are comparing their heights. Andy is taller than Dan but shorter than Ethan. Bill is taller than Ethan and Frank. Frank
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List of boys from tallest to shortest is: Bill, Frank, Ethan, Andy, Dan, Cory

<h3><u>Solution:</u></h3>

Given that Six boys are comparing their heights

The six boys are Andy, Dan, Ethan, Bill, Frank, Cory

To find: List the boys from tallest to shortest

<u><em>Andy is taller than Dan but shorter than Ethan</em></u>

So the arrangement goes like this:

Ethan

Andy

Dan

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So Bill is taller than ethan. Thus the arrangement from tall to short is made as:

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Also bill is taller than frank. So frank can be placed anywhere below bill

But given that Frank is taller than Ethan. So frank can be placed above ethan

Now the arrangement goes like this:

Bill

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Ethan

Andy

Dan

<em><u>Cory is shorter than Dan.</u></em>

So cory can be placed below Dan.

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Bill

Frank

Ethan

Andy

Dan

Cory

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3 years ago
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Tpy6a [65]
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3 years ago
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Answer:

(20, 16)

Step-by-step explanation:

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