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3 years ago

Solve for y: 24x+2y=48 Please show how you did it.

Mathematics

1 answer:

Stella [2.4K]3 years ago

4 0

Answer:

y=24-12x

Step-by-step explanation:

Subtract 24x from both sides.

2y=48−24x

Divide both sides by 2.

2y/2=48-24x/2

Dividing by 2 undoes the multiplication by 2.

y=48-24x/2

Divide 48−24x by 2.

y=24−12x

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Step-by-step explanation:

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3 years ago

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3 years ago

4. What are the values of the variables in the triangle below? If your answer is not an integer, leave

pentagon [3]

Using relations in a right triangle, it is found that the values of the variables in the triangle below are given by:

$x = 18, y = 6\sqrt{3}$

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.

The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.

The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this problem, the hypotenuse is of $12\sqrt{3}$ , while the opposite angle to side y is of 30º, hence:

$\sin{30^\circ} = \frac{y}{12\sqrt{3}}$

$\frac{1}{2} = \frac{y}{12\sqrt{3}}$

$y = 6\sqrt{3}$

The adjacent side to the angle of 30º is of x, hence:

$\cos{30^\circ} = \frac{x}{12\sqrt{3}}$

$\frac{\sqrt{3}}{2} = \frac{x}{12\sqrt{3}}$

$2x = 36$

$x = 18$

More can be learned about relations in a right triangle at brainly.com/question/26396675

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2 years ago