Aimee must add together the following numbers:3.50 + 4.00 + (−1.25) + (−7.50) + 5.25 + 2.00As her first step, Aimee writes:(3.50
2 answers:
Answer:
<h2>C. Aimee used the Associative and Commutative Properties to put numbers that are easy to add next to each other.</h2>Step-by-step explanation:
The given problem is
Aimee's first step is
As you can observe Aimee associated all numbers in a way that helped her to percieve clearl the operations she needs to do. That's a proper use of the associative property.
Therefore, the right answer is C., because Aimme used the associative and commutative properties to make it easier for her.
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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.