So I'm assuming the answers have to be the same?? if that's the case, 457×32=15904 so you would subtract 994 from 15904. That means the answer is 14,910. I hope this helped!
Answer:
Step-by-step explanation:
First reduce this to lowest term
![\frac{2}{150}=\frac{1}{75}\\\\\frac{2}{150}+\frac{3}{75}=\frac{1}{75}+\frac{3}{75}\\\\=\frac{1+3}{75}=\frac{4}{75}\\](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B150%7D%3D%5Cfrac%7B1%7D%7B75%7D%5C%5C%5C%5C%5Cfrac%7B2%7D%7B150%7D%2B%5Cfrac%7B3%7D%7B75%7D%3D%5Cfrac%7B1%7D%7B75%7D%2B%5Cfrac%7B3%7D%7B75%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%2B3%7D%7B75%7D%3D%5Cfrac%7B4%7D%7B75%7D%5C%5C)
Answer:
Step-by-step explanation:
12 this is because my number for sports is 12 and i just need to answer a ? for point thanks have a good day
Answer:
![3.5](https://tex.z-dn.net/?f=3.5)
Step-by-step explanation:
The smallest side of a triangle is formed by the smallest angle in the triangle.
To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle,
, where
,
, and
are the three sides of the triangle and
is the angle opposite to
.
Let
be the side opposite to the 20 degree angle.
Assign variables:
Substituting these variables, we get:
![c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}](https://tex.z-dn.net/?f=c%5E2%3D4%5E2%2B7%5E2-2%284%29%287%29%5Ccos%2020%5E%7B%5Ccirc%7D%2C%5C%5Cc%5E2%3D16%2B49-56%5Ccos%2020%5E%7B%5Ccirc%7D%2C%5C%5Cc%5E2%3D12.377213236%2C%5C%5Cc%3D%5Csqrt%7B12.377213236%7D%3D3.51812638147%5Capprox%20%5Cboxed%7B3.5%7D)
Therefore, the shortest side of this triangle is 3.5.