We are given that:
i- The store is having 20% off sale
ii- Trina has a 10% coupon
Therefore, Trina will be having a discount = 20 + 10 = 30% of the bike's price
This means that:
Trina will pay 100% - 30% = 70% of the price
We are given that:
The original price of the bike = <span>$89.75
We now know that:
Trina will pay 70% of its price
Therefore:
Final price = 70% * </span>89.75 = 0.7 * <span>89.75
Final price = $62.825
Hope this helps :)</span>
Considering the area of the right triangle, it is found that Salome used a scale factor of 1/2 to go from triangle R to triangle T.
<h3>What is the area of a right triangle?</h3>
The area of a right triangle is given by half the multiplication of the lengths of it's sides.
In this figure, we have that the sides have lengths of 4 and 5 units, hence the area is given by:
A = 0.5 x 4 x 5 = 10 square units.
The area is one fourth of the area of triangle R. Since we are dealing with an area, that works in squared units, the scale factor is given by:
S = sqrt(1/4) = 1/2.
Hence Salome used a scale factor of 1/2 to go from triangle R to triangle T.
More can be learned about the area of a right triangle at brainly.com/question/28230160
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Answer:
a) See the file below, b) ![s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx](https://tex.z-dn.net/?f=s%20%3D%20%5Cint%5Climits%5E%7B0.5%5Cpi%7D_%7B-0.25%5Cpi%7D%20%7B%5B%5Cleft%28%203%5Ccdot%20%5Ccos%20t%5Cright%29%5E%7B2%7D%2B%5Cleft%28-5%5Ccdot%20%5Csin%20t%20%5Cright%29%5E%7B2%7D%5D%7D%20%5C%2C%20dx)
, c) 
Step-by-step explanation:
a) Points moves clockwise as t increases. See the curve in the file attached below. The parametric equations describe an ellipse.
b) The arc length formula is:
c) The perimeter of that arc is approximately:
So he has road 5.75 miles and 1/8=0.125 so i am going to estimate but 4.12 miles left to cover
