The hourly temperature at Portland, Oregon, on a particular day is recorded below. 1 A. M. 2 3 4 5 6 7 8 9 10 11 12 Noon 46° 44° 43° 41° 40° 40° 41° 43° 46° 52° 65° 69° 1 P. M. 2 3 4 5 6 7 8 9 10 11 12 Midnight 72° 74° 75° 75° 77° 75° 74° 70° 62° 55° 51° 48° a. Find the amplitude of a sinusoidal function that models this temperature variation. b. Find the vertical shift of a sinusoidal function that models this temperature variation. c. What is the period of a sinusoidal function that models this temperature variation? d. Use t = 0 at 5 P. M. To write a sinusoidal function that models this temp. Variation. e. What is the model's temperature at 10 A. M.? Compare this to the actual value?

step-by-step explanation:

0.32

step-by-step explanation:

2.24/7

what do u need to know

step-by-step explanation:

tell you what. i'll find the length of the medians and you can fill in the blanks where they belong.

br

b = (2a,0)

r = (a/2,b/2) remember these things are medians. they go to the 1/2 way point of the line opposite the vertex they face.

br^2 =   (2a - a/2)^2 + (0 - b/2)^2

br^2 = (3/2 a) ^2 + b^2 / 4

br^2 = 9/4 a^2 + b^2 / 4   we need to find some relationship between a and b.

let's try ab = bc  

ab = 2a

bc = (2a - a)^2 + (b - 0)^2

bc = sqrt(a^2 + b^2)

ab = bc

2a = sqrt(a^2 + b^2) square both sides.

4a^2 = a^2 + b^2 subtract a^2 from both sides.

sqrt(3a^2) = sqrt(b^2)

sqrt(3)a = b

let's put b into br^2

br^2 = 9/4 a^2 + 3b^2 / 4

br^2 = 12 a^2 / 4

br^2 = 3a^2 

br = sqrt(3) * a

cp

c = (a,b) ; p = (a,0) this is another application of the distance formula, and it is a good one.

cp^2 = (a - a)^2 + (b - 0)^2

cp^2 = 0 + b^2

cp^2 = b^2 which you can see from the diagram. 

cp = sqrt(b^2)

cp = b but b = sqrt(3) * a 

cp = sqrt(3)*a

aq

a = (0,0)

q = (3/2) a, b/2

aq^2 = (3a/2 -0)^2 + (b/2 - 0)^2

aq^2 = 9a^2/4 + b^2/4

but b = sqrt(3) * a 

aq^2 = 9a^2 / 4 + (sqrt(3)*a)^2 /4

aq^2 = 9 a^2/ 4 + 3 a^2 / 4

aq^2 = 12 a^2/4

aq^2 = 3 a^2

aq = (sqrt  3) * a which agrees with the other two.