Answer:
7.825 to the nearest tenth is 7.8
Step-by-step explanation:
7.825 --> the "2" is less than 5, so you know that it can't round up. The answer is 7.8.
16
28-12=16
He needs 16 more hours of work to complete
Answer:
a) See the file below, b)
, c) ![s \approx 9.715](https://tex.z-dn.net/?f=s%20%5Capprox%209.715)
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:
![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) The perimeter of that arc is approximately:
![s \approx (\frac{1}{4} + \frac{1}{8})\cdot 2 \pi\cdot \sqrt{\frac{3^{2}+5^{2}}{2} }](https://tex.z-dn.net/?f=s%20%5Capprox%20%28%5Cfrac%7B1%7D%7B4%7D%20%2B%20%5Cfrac%7B1%7D%7B8%7D%29%5Ccdot%202%20%5Cpi%5Ccdot%20%5Csqrt%7B%5Cfrac%7B3%5E%7B2%7D%2B5%5E%7B2%7D%7D%7B2%7D%20%7D)
![s \approx 9.715](https://tex.z-dn.net/?f=s%20%5Capprox%209.715)
Answer:
![P= 0.4x+ 0.4y](https://tex.z-dn.net/?f=P%3D%200.4x%2B%200.4y)
Step-by-step explanation:
Given data
Profit from apple= $0.4
Profit from banana= $0.4
Let the number of Apples sold be x, and the number of bananas sold be y
and the total profit be P
Hence the expression for the total profit is given as
![P= 0.4x+ 0.4y](https://tex.z-dn.net/?f=P%3D%200.4x%2B%200.4y)