Mary's house is approximately 49.73 miles from her grandmother's house.
The distances the three drove were;
Mary drove for 49.73 miles, Theo drove 50 miles and Nancy drove 53.299 miles.
Explanation:
- The given triangle has a 13 mile long adjacent side, a 48 mile long opposite side and the distance of Mary's route is the hypotenuse. As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.
- Assume the hypotenuse of the triangle measures x miles. According to Pythagoras theorem, x = √(13² + 48²) , x = √169 + 2,304 x = √2,473 = 49.729. Rounding this off, we get Mary's route was 49.73 miles long.
- Nancy drove √2,840 miles = 53.2916 miles.
- So Mary drove the shortest distance of 49.73 miles, second shortest was Theo who drove for 50 miles and the longest was Nancy who drove for 53.299 miles.
Answer: Tunnel tent.
Step-by-step explanation:
The tent which has the minimum area requires less nylon to manufacture,
Since, the area of Pup tent = Area of 3 square each having side 8 ft + Area of 2 equilateral triangle having side 8 ft
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Now, the area of tunnel tent = Area of square having side 8 ft + total Area of half cylinder having radius 4 ft and height 8 ft
= ![8^2 + \frac{1}{2} [ 2\pi\times 4(4+8)]](https://tex.z-dn.net/?f=8%5E2%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%5B%202%5Cpi%5Ctimes%204%284%2B8%29%5D)
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Since, 214.72 < 247.43
Thus, Tunnel tent requires less nylon to manufacture.
Simplify the first numerator first
-2(x+1)
-2x-2
Then you can set up an equation using cross multiplication
5(-2x-2)= 3x
Simplify and solve
-10x-10=3x
-10=13x
-10/13=x
Final answer: x=-10/13
18
Explanation:
4x6=24
2x3=6
24-6=18
Hope this helps!:)
