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spayn [35]
3 years ago
10

Using law of sines please show process and answer

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
5 0

Hello,

\widehat{A}=180^o-24.4^o-103.6^o=52^o\\\\\dfrac{sin(24.4^o)}{37.3} =\dfrac{sin(103.6^o)}{c} \\\\\\c=87.760246\approx{87.8}\\\\\\\dfrac{sin(52^o)}{a} =\dfrac{sin(24.4^o)}{37.3} \\\\\\a=71.1510189...\approx{71.2}\\

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Theo used to drive 60 miles to work each day. His new home is now 20 miles away
posledela

Answer:

66.6% decrease in distance

Rounded 67%

He is traveling 1/3 of what he used to travel

Step-by-step explanation:

8 0
2 years ago
Simplify the expression (2x − 9)(x + 6)
kenny6666 [7]

<u>Answer:  </u>

Simplified form of given expression (2x – 9 )( x + 6 )  is 2 \mathrm{x}^{2}+3 \mathrm{x}-54

<u> Solution: </u>

We need to simplify following expression.

(2x – 9) ( x + 6)  

For sake of simplicity lets first assume 2x – 9 = A

So expression becomes A(x+6)

= Ax + A6

Now replace A by 2x – 9

= (2x – 9 ) x + (2x – 9 ) 6

=2 \mathrm{x}^{2}-9 \mathrm{x}+12 \mathrm{x}-54

On simplification, we get

=2 \mathrm{x}^{2}+3 \mathrm{x}-54

Hence simplified form of given expression (2x – 9 )( x + 6 )  is = 2 \mathrm{x}^{2}+3 \mathrm{x}-54

7 0
3 years ago
6 in<br> 5 in<br> 14 in<br> Area =
Hunter-Best [27]

Answer:

184

Step-by-step explanation:

2*(6*5+6*14+5*14)=184

3 0
3 years ago
What is the ratio of the diameter of any circle to its radius?<br><br> What does that mean ?
spayn [35]
The diameter fits all the way across the circle, and the radius fits half way across the circle, thus making the radius half the length of the diameter so the ratio for diameter/radius would be 2/1 or 1/.5
4 0
3 years ago
Model 25% on a 4x3 grid
Nostrana [21]
1.) Start by figuring out what the 4x3 grid would look like. In this grid, we have 12 boxes (4 x 3 = 12).

2.) Now let's calculate 25% of 12. When changing a percent to a decimal, simply move the decimal point over to the left two places. So then 25% = .25 when written as a decimal. Multiply 25 x 12. 25% of 12 equals 3. 

3.) Now your grid would have 3 boxes shaded in. I put two examples of this in the attached image. However, your boxes can be shaded in anywhere in the grid, as long as only 3 of them are shaded in!

8 0
3 years ago
Read 2 more answers
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