How do i solve this? im looking for the answer but also an explanation on how to do this so i can understand it.

SOH CAH TOA is a mnemonic that can help you remember

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

Tan = Opposite/Adjacent

In the given figure, you have the side Adjacent to the angle, and you have the Hypotenuse. Thus the Cosine relation is useful to you.

... cos(45°) = 12/c

Multiply by c/cos(45°) to get

... c = 12/cos(45°)

Use your calculator and/or your knowledge of the values of the trig functions to determine cos(45°) = 1/√2, so ...

... c = 12√2 ≈ 16.97

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.

step-by-step explanation:

oh the deck is the size of my dic k so about 320 inches hope u get my dic k as the answer