Answer:
<h3>(x - 0.15x) and x(1.00 - 0.15)</h3>
Step-by-step explanation:
Let x be the original price of a lawn mower,
If the hardware store is having a 15% off sale on lawn mowers this weekend, the amount discounted is expressed as;
= 15 % of x
= 0.15 of x
= 0.15x
Final sales price = Original price - discounted price;
Final sales price = x - 0.15x
Factor out x;
x - 0.15x = x(1 - 0.15)
Hence the correct equations are (x - 0.15x) and x(1.00 - 0.15)
The
net area of the region in relation to the x-axis, is just the integral at those bounds, thus
![\bf \displaystyle \int\limits_{-\frac{\pi }{2}}^{\pi }~8cos(\theta )\cdot d\theta \implies 8\int\limits_{-\frac{\pi }{2}}^{\pi }~cos(\theta )\cdot d\theta \\\\\\ \left. 8sin(\theta )\cfrac{}{} \right]_{-\frac{\pi }{2}}^{\pi }\implies [8sin(\pi )]~-~\left[8sin\left(-\frac{\pi }{2} \right) \right]\implies [0]-[-8]\implies 8](https://tex.z-dn.net/?f=%5Cbf%20%5Cdisplaystyle%20%5Cint%5Climits_%7B-%5Cfrac%7B%5Cpi%20%7D%7B2%7D%7D%5E%7B%5Cpi%20%7D~8cos%28%5Ctheta%20%29%5Ccdot%20d%5Ctheta%20%5Cimplies%208%5Cint%5Climits_%7B-%5Cfrac%7B%5Cpi%20%7D%7B2%7D%7D%5E%7B%5Cpi%20%7D~cos%28%5Ctheta%20%29%5Ccdot%20d%5Ctheta%0A%5C%5C%5C%5C%5C%5C%0A%5Cleft.%208sin%28%5Ctheta%20%29%5Ccfrac%7B%7D%7B%7D%20%20%5Cright%5D_%7B-%5Cfrac%7B%5Cpi%20%7D%7B2%7D%7D%5E%7B%5Cpi%20%7D%5Cimplies%20%5B8sin%28%5Cpi%20%29%5D~-~%5Cleft%5B8sin%5Cleft%28-%5Cfrac%7B%5Cpi%20%7D%7B2%7D%20%20%5Cright%29%20%20%5Cright%5D%5Cimplies%20%5B0%5D-%5B-8%5D%5Cimplies%208)
Answer:
B. 20 years
Step-by-step explanation:
By using the process of trial and error, if Gina is 20 years old, that would mean her sister is 29 years old. This is because 20+9 is equal to 29. 29+20 sums up to 49.
Answer: 10
Step-by-step explanation:
If the long side of the fence is 20 the other side is 20 which means if the short side is 10 the other would be 10 making the total to 60 meters.
Answer:
7 weeks
Step-by-step explanation:
130-4 = 126
126÷18=7
