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Mashcka [7]
3 years ago
5

Using the Law of Sine or Cosine, solve for the unknown variable (round to the

Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0

Answer:

33.18208

Step-by-step explanation:

This can be solved via Law of Sines, but I´m gonna use sines for the sake of efficiency. :P

So, you have your 3 values and unknown length x.

First set up your proportions: \frac{sin(65)}{x}=\frac{sin(35)}{21}

Cross multiply. x=\frac{21sin(65)}{sin(35)}

Simplify. x=33.18208

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PLEASE I need help on these 4 problems you don’t have to do them all but if you can at least do one of them TYSM
Brrunno [24]

Answer:

For right angle triangle,

we use Pythagoras theorem that is:

c^{2} =a^{2} +b^{2}

c = \sqrt{a^{2} +b^{2} }

For question 1:

c = ?

a = 40

b = 9

putting them in formula,

c = \sqrt{40^{2} + 9^{2} }

c = 41

For question 2:

c = ?

a = 12

b = 13

putting them in formula,

c = \sqrt{12^{2} + 13^{2} }

c = approximately 17.69181

For question 3:

c = 35

a = 20

b = ?

putting them in formula,

c^{2} =a^{2} +b^{2}

35^{2} = 20^{2} + b^{2}

1225 = 400 + b^{2}

b^{2} = 1225 - 400

b^{2} = 825

\sqrt{b^{2} } = \sqrt{825}

b = 5 \sqrt{33}

For question 4:

c = 37

a = 20

b = ?

putting them in formula,

c^{2} =a^{2} +b^{2}

37^{2} = 20^{2} + b^{2}

1369 = 400 + b^{2}

b^{2} = 1369 - 400

b^{2} = 969

Taking square root on both sides

b = 31.12

Hope it helps.

4 0
3 years ago
3n - 31 = 8 + 7 ( 1 + 7n)
Masja [62]

n =  - 1

<h2><em>hope</em><em> it</em><em> helps</em></h2>

6 0
3 years ago
Simplify the expression.<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%5B1%5D%7B10%7D" id="TexFormula1" title="\sqrt[1]{10}" alt
Hunter-Best [27]
The answer would just be 10 :)
7 0
3 years ago
Use the Pythagorean Theorem to find the m<br> 14.1<br> X<br> X=<br> 14.7
KATRIN_1 [288]

Answer:

x = 4.2

Step-by-step explanation:

14.1² + x² = 14.7²

198.81 + x² = 216.09

216.09 - 198.81 = 17.28

√17.28 = 4.15

x = 4.15

Round to nearest tenth

x = 4.2

4 0
2 years ago
Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers (k)left parenthesis, k, righ
EastWind [94]

Answer:

132 kilo meters

Step-by-step explanation:

Pro por tions:

9 lite rs ⇒ 99 km

12 lite rs  ⇒  P km

P = 99*12/9

P = 132 km

8 0
3 years ago
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