What is the angle (relative to the horizontal) of a 4 in 4 roof? is it possible to have a 7 in 4 foot? explain.

If "y in x" means the rise is y for a run of x (both in the same units), then the tangent of the angle is y/x.

... angle for 4 in 4 roof: arctan(4/4) = 45°

Yes, it is possible to have a 7 in 4 roof.

... angle for 7 in 4 roof: arctan(7/4) = 60.3°

As long as the run is non-zero, the rise can be anything you like.

1.677

step-by-step explanation:

i'm not good at explaining stuff but if you need an answer i'm here for you.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.