Answer:
63in is your answer
Step-by-step explanation:
1. find the volume of the rectangular prism.
V=LxWxH
V=3 x 2 x 6
V=36
2. Find the volume of the Triangular prism
V= 3 x 3 x 6 / 2 ( you have to divide by 2 because the base is a triangle)
V= 54 /2
V=27
3. ADD both Volume
36 + 27= 63 in.
Hope this helps.
The side lengths could be 10, 24 and 26 units.
We must first find the side lengths. We use the distance formula to do this.
For RT:
![d=\sqrt{(11--1)^2+(-1--1)^2} \\=\sqrt{(11+1)^2+(-1+1)^2} \\=\sqrt{12^2+0^2}=\sqrt{144}=12](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%2811--1%29%5E2%2B%28-1--1%29%5E2%7D%0A%5C%5C%3D%5Csqrt%7B%2811%2B1%29%5E2%2B%28-1%2B1%29%5E2%7D%0A%5C%5C%3D%5Csqrt%7B12%5E2%2B0%5E2%7D%3D%5Csqrt%7B144%7D%3D12)
For ST:
![d=\sqrt{(11-11)^2+(4--1)^2} \\=\sqrt{0^2+(4+1)^2}=\sqrt{5^2}=\sqrt{25}=5](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%2811-11%29%5E2%2B%284--1%29%5E2%7D%0A%5C%5C%3D%5Csqrt%7B0%5E2%2B%284%2B1%29%5E2%7D%3D%5Csqrt%7B5%5E2%7D%3D%5Csqrt%7B25%7D%3D5)
For TR:
![d=\sqrt{(11--1)^2+(4--1)^2} \\=\sqrt{(11+1)^2+(4+1)^2}=\sqrt{12^2+5^2}=\sqrt{144+25}=\sqrt{169}=13](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%2811--1%29%5E2%2B%284--1%29%5E2%7D%0A%5C%5C%3D%5Csqrt%7B%2811%2B1%29%5E2%2B%284%2B1%29%5E2%7D%3D%5Csqrt%7B12%5E2%2B5%5E2%7D%3D%5Csqrt%7B144%2B25%7D%3D%5Csqrt%7B169%7D%3D13)
Our side lengths, from least to greatest, are 5, 12 and 13.
To be similar but not congruent, the side lengths must have the same ratio between corresponding sides but not be the same length. 10, 24 and 26 are all 2x the original side lengths, so this works.
Y-y1=a(x-x1)
a=(y2-y1)/(x2-x1)
a= (6-(-2))/(7-1)
a=8/6
a=4/3
y-6=4/3(x-7)
y-6=4/3x-28/3
y=4/3x-28/3+6
y=4/3x-10/3 >>ef
Since 0.002 Is in the <u>thousandths place</u> on the right, It would be 2/1000.
So your answer would be in fratcion form:
2/1000
Word Form:
Two one-thousandths
Hope I helped ya! ^-^
One friend shoud receive 1/4 nuts
1/4 is equivalent to 2/8