Here you'll want to add 5/8 with 5/8. Since they have the same denominator already then 5/8+5/8 = 10/8. Simplifying that down to 5/4 then changing to a mixed number is 1 1/4 inches.
A) To find the surface area of a cube, you have to use the formula 6•a^2
meaning you just have to calculate one side and multiply it by six.
541.5 is the surface area of the cube.
B) To find the surface area for just five sides, you'll be doing the same, except instead of 6 it'll be five.
so multiply 9.5 by itself
you get 90.25
Then you multiply 90.5 by 5
You get 451.25
Unfortunately I'm not sure how to do C. good luck
Answer:
Step-by-step explanation:
we would like to solve the following equation:
in order to do so do cross multiplication:
divide both sides by √3:
since we ended up with a square root on the denominator so we can consider rationalising the denominator to do so multiply both numerator and denominator by √3 which yields:
simplify multiplication:
reduce fraction:
and we are done!
Answer:
dy/dx = (cos y + y sin x) / (cos x + x sin y)
Step-by-step explanation:
y cos x = x cos y
y (-sin x) + dy/dx cos x = x (-sin y dy/dx) + cos y
-y sin x + dy/dx cos x = -x sin y dy/dx + cos y
dy/dx (cos x + x sin y) = cos y + y sin x
dy/dx = (cos y + y sin x) / (cos x + x sin y)
