Help ya girl out? just a little bit confused, thank you!
1 answer:
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Answer:
1 hot dog costs $3.50
Step-by-step explanation:
Represent Hot dog with x and Hamburger with y
Gregory's purchase:
--- (1)
Hart's purchase:
---- (2)
Required
Find x
To do this, we'll make use of the elimination method of solving simultaneous equation.
Start by multiplying (1) by 2
2 * ()
This gives:
---- (3)
Subtract (2) from (3)
- ()
-------------------------
Solve for x
Hence:
1 hot dog costs $3.50
Check the picture below.
since we know the hypotenuse and one of the legs of the triangular base, we can use the pythagorean theorem to get the missing leg, namely the base of the triangle, as you see in the picture. Thus we end up with a triangle whose base is 5 and height is 12.
now, the volume of the prims, is just the area of its triangular base, times the length, namely 10.
![\bf \textit{volume of the triangular prism}\\\\ V=\stackrel{length}{(10)}\stackrel{base's~area}{\left[ \cfrac{1}{2}(5)(12) \right]}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20the%20triangular%20prism%7D%5C%5C%5C%5C%0AV%3D%5Cstackrel%7Blength%7D%7B%2810%29%7D%5Cstackrel%7Bbase%27s~area%7D%7B%5Cleft%5B%20%5Ccfrac%7B1%7D%7B2%7D%285%29%2812%29%20%5Cright%5D%7D)
since we know the hypotenuse and one of the legs of the triangular base, we can use the pythagorean theorem to get the missing leg, namely the base of the triangle, as you see in the picture. Thus we end up with a triangle whose base is 5 and height is 12.
now, the volume of the prims, is just the area of its triangular base, times the length, namely 10.