Answer:
56
Step-by-step explanation:
Answer 40 cm in the squade
Answer:
L = ∫₀²ᵖⁱ √((1 − sin t)² + (1 − cos t)²) dt
Step-by-step explanation:
Arc length of a parametric curve is:
L = ∫ₐᵇ √((dx/dt)² + (dy/dt)²) dt
x = t + cos t, dx/dt = 1 − sin t
y = t − sin t, dy/dt = 1 − cos t
L = ∫₀²ᵖⁱ √((1 − sin t)² + (1 − cos t)²) dt
Or, if you wish to simplify:
L = ∫₀²ᵖⁱ √(1 − 2 sin t + sin²t + 1 − 2 cos t + cos²t) dt
L = ∫₀²ᵖⁱ √(3 − 2 sin t − 2 cos t) dt
There are 3 types of cost for this problem: the cost for the area covered by the tiles, cost for hourly labor and the sales tax.
Cost of Area = (10.5 ft)(8 ft)($4.75) = $399
Cost of Hourly Labor = ($22/h)(7.5 h) = $165
Sum = $399 + $165 = $564
Cost of tax = $564(0.08) = $45.12
Total Cost = $564 + $45.12 = <em>$609.12</em>
So, the amount of the bill is incorrect.
