Find the period and amplitude of the function y=5 cos 2 theta

Period = π

Amplitude = 5

Step-by-step explanation:

Given:

We are given cosine function. we need to calculate period and amplitude of the curve.

Amplitude: Half the distance between the maximum and minimum of the curve. (coefficient of cosine is amplitude)

Amplitude of the given equation: 5

Now we will find the period of the cosine function.

y= cos x , period is 2π

If function is y= cos(ax) then period is 2π/a

For given function a=2

Period = 2π/2 = π

Hence, The period of given function is π and amplitude is 5

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

a: inscribed angles

step-by-step explanation:

i reviewed this question with a peer and teacher, seems to be correct, me later