Describe the relationships of the two graphs of f and g.

Mathematics

1 answer:

STALIN [3.7K]3 years ago

8 0

Answer:

A) The amplitude of f is five times greater than the amplitude of g.

Step-by-step explanation:

We know that amplitude is the height from the center line to the peak (or to the trough). Or we can measure the height from highest to lowest points and divide that by 2.

From graph we can see that amplitude of function f is 5 while amplitude of function g is 1.

Clearly 5 is five times than 1.

So first choice "A) The amplitude of f is five times greater than the amplitude of g." is true.

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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;

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