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3 years ago

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>hope it helps</h2>

6 0

3 years ago

Simplify the expression. <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 14.1 X X= 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