(Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .") ... This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.

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4 0

3 years ago

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.

salantis [7]

Answer:

the length of ac is 16.

Step-by-step explanation:

Given;

A is right angle, = 90⁰

B is 30⁰

ab = 16√3

↓

↑

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.

6 0

2 years ago

A hiker descends from a mountain peak. If the hiker descends at a rate of 700 feet every half hour, what is the hiker's elevatio

geniusboy [140]

Answer:

-4,200 feet

Step-by-step explanation:

4 0

3 years ago

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