On dolphin beach, the high tide is 2.2 meters and only occurs at 12 a. m. and 12 p. m. the low tide is 1 meter and only occurs at 6 a. m. and 6 p. m.
which function models the height of the tide t hours after 12 a. m.?

h(t) = 0.6 sin (πt/6) + 1.6
h(t) = 1.6 sin (πt/3) + 2.2
h(t) = 1.2 cos (πt/3) + 1
h(t) = 0.6 cos (πt/6) + 1.6

D

Step-by-step explanation:

maximum at 12am which is time, t = 0 and 12pm which is time, t = 12

so we’ll use a cosine function since no phase shift is given.

period, T: 1 cycle = 2π and time taken to complete one cycle is 12hrs

T = 2π/(12) = ⅙π

med-line = ½(1 + 2.2) = 1.6

and thus amplitude = 1.6 - 1 = 0.6 or 2.2 - 1.6 = 0.6

h(t) = 0.6 cos(⅙πt ) + 1.6

ANS: D  Can I get brainliest on this please because I only need two more until virtuoso

no, it is not proportional

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.