A town has noticed that the level of water in the nearby lake is periodic. The fluctuation of the depth of the lake repeats on a yearly basis. The depth of the lake in feet, h, as a function of the day of the year, d, can be modeled by the equation shown, where January 1st is d=0, the start of the cycle. h(d)=2cos(2π365d)+12

Determine whether each statement is a correct interpretation of the equation representing the depth of the lake. Select Yes or No for each statement.
Statement

Yes No
At its deepest the depth of the lake is 12 feet.

At its shallowest the depth of the lake is 10 feet.

On January 1st the lake is at its deepest point.

step-by-step explan mxfcg'k; uafwgzfgjhklhgation:

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180