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Minchanka [31]
2 years ago
7

In triangle abc, a is a right angle, and ab = 16√3, and the measure of b=30 degrees. What is the length of ac.

Mathematics
1 answer:
salantis [7]2 years ago
6 0

Answer:

the length of ac is 16.

Step-by-step explanation:

Given;

A is right angle, = 90⁰

B is 30⁰

ab = 16√3

              C

              ↓

               ↑

               A   →      ←  B

If this right angle triangle is considered, length bc is the hypotenuse and length ac is the opposite side of angle B.

The length of ac is calculated as follows;

tan \ B = \frac{opposite \ side}{adjacent \ side} \\\\tan \ B = \frac{ac}{ab} \\\\ac = ab \ \times \ tan \ B\\\\ac = 16\sqrt{3} \ \times \frac{\sqrt{3} }{3} \\\\ac = \frac{16 \sqrt{9} }{3} \\\\ac = \frac{16 \times 3}{3} \\\\ac = 16

Therefore, the length of ac is 16.

             

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Write an inequality using variables x and y whose graph is described by the given information. The points (2,5) and (-3,-5) lie
luda_lava [24]

The inequality using variables x and y which satisfy the points are; y>-3x+3.

<h3>What is inequality?</h3>

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Given that the points (2,5) and (-3,-5) lie on the boundary line.

The system of inequality is given by:

y>-3x+3-

Now, the point that will lie in the solution set to the following system of inequality are the point that satisfies the inequality.

a)  (6, 5)

when x=6 and y= 5

then we have:

y>-3x+3

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This means that the point will lie in the solution set.

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Hence, the inequality using variables x and y which satisfy the points are; y>-3x+3.

Learn more about inequality ;

brainly.com/question/14164153

#SPJ1

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