Vector

.

. So the sum is

.
For the second, the magnitude is the square root of the sum of the squares of the components. This is equal to

.
2 inches per year bc it’s over 5 years and he grew 10 inches and 10/5 is 2
Cos 52 = 0.6157
sin 42 = cos 48 = 2/3 (because 42 + 38 = 90 - complementary angles)
if tan 20,5 = 3/8 then tan 69.5 wil = 1 / 3/8 = 8/3
Let the length be l, width w and height h, then
Volume = length x width x height
l = 10cm, w + h = 18cm
V(h) = 10(18 - h)h = 180h - h^2
V(h) = 180h - h^2
Answer:
The polynomial simplified would be a^2 + 30
I hope this helps you:))
P.S. Might I recommend a good online calculator for these types of problems. It's called Symbolab. I use it every day and it's a lifesaver. It shows the step-by-step and has a plethora of different actions like simplifying, inverse, and line.