Answer:

Step-by-step explanation:
Using the Pythagorean Theorem, if you take 8 and square it, you get 64.
You then take 5 and square it giving you 25.
add the 64 and 25 to get you 89 = x squared.
Then take the square roots of x. (Keep in mind, what you do to one side must be done to the other.)
Because 89 is not a perfect square, you can it it as the square root of 89.
Answer:
$225.50 (nearest cent)
Step-by-step explanation:
1 foot ≈ 0.3048 m
Width of room = 15 ft ≈ 15 x 0.3048 = 4.572 m
Length of room = 18 ft ≈ 18 x 0.3048 = 5.4864 m
Area of room = width x length = 4.572 x 5.4864 = 25.0938208... m²
Cost of carpet = $8.99 per m²
Total cost of carpet = 25.0938208 x 8.99 = $225.50 (nearest cent)
The width of the confidence interval is twice the margin of error. The lower bound of the confidence interval is the observed score minus the margin of error;
Answer:
2 ( e^3 + 1 )
Step-by-step explanation:
The path of the attached Rectangle is anti-clockwise
and the Integrand: P( x, y ) dx + q ( x , y ) dy
P( x, y ) = ye^x
q ( x , y ) = 2ex
hence : dq/dx - dp/dy = 2e^x - e^x = e^x
attached below is the remaining solution
using Green's theorem