3 years ago

Solve this system of equations by graphing. First graph the equations, and then type the solution.

Mathematics

1 answer:

tiny-mole [99]3 years ago

7 0

Here the graph and what else you need

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In △ABC, m∠A=39°, a=11, and b=13. Find c to the nearest tenth.

Talja [164]

For this problem, we are going to use the <em>law of sines</em>, which states:

$\dfrac{\sin{A}}{a} = \dfrac{\sin{B}}{b} = \dfrac{\sin{C}}{c}$

In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, $B$ . Then, we can find the third side. Using the law of sines, we can find:

$\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{B}}{13}$

We can use this to solve for $B$ :

$13 \cdot \dfrac{\sin{39^{\circ}}}{11} = \sin{B}$

$B = \sin^{-1}{\Big(13 \cdot \dfrac{\sin{39^{\circ}}}{11}\Big)} \approx 48.1$

Now, we can find $C$ :

$C = 180^{\circ} - 48.1^{\circ} - 39^{\circ} = 92.9^{\circ}$

Using this, we can find $c$ :

$\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{92.9^{\circ}}}{c}$

$c = \dfrac{11\sin{92.9^{\circ}}}{\sin{39^{\circ}}} \approx \boxed{17.5}$

c is approximately 17.5.

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3 years ago

Marcy is concerned that her findings may be due to an extraneous uncontrolled variable and not her treatment. Marcy is most conc

Westkost [7]

Answer:

Step-by-step explanation:

because it's her extraneous uncontrolled variable

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3 years ago

Solve the system using elimination 4x-7y=3 <br> x-7y=-15

BigorU [14]

The answer is 6,3
.......

6 0

3 years ago

Read 2 more answers

WORTH 10 points.

Tanya [424]

The answer is B because I did the math

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3 years ago

A large bottle holds 250% as much water as a small bottle. If the small bottle holds 12 ounces of water, how many ounces of wate

mylen [45]

30 ounces

because 2.5*12=30

3 0

3 years ago