3 years ago

If 0 is in the quadrant IV and sin 0=1/2, then cos0___

Mathematics

1 answer:

GuDViN [60]3 years ago

3 0

Negative root 3 over 2

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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.

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Given: ∠2 ≅ ∠4 Which lines must be parallel?

leva [86]

Answer:

B) p and q

Step-by-step explanation:

If ∠2 ≅ ∠4 then line p and line q must be parallel. ∠2 and ∠4 are corresponding angles, and corresponding angles are congruent.

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3 years ago

Read 2 more answers