Answer: 12km
Step-by-step explanation:
2cm=3km
2x4=8
3x4=12
Answer:
He can type 256 words in 4 minutes
Step-by-step explanation:
2 minutes 30 seconds is 2.5 minutes
The rate is the number of words divided by the time
160 words / 2.5 minutes =64 words per minute
We need to find how many words in 4 minutes
Take the rate time the time
64*4 =256
He can type 256 words in 4 minutes
The predicted footwear would be 2 students wearing sneakers and one student wearing boots.
So we are trying to find this red line's length.
We can either find it directly, or use the blue line firs, and then use it as a leg for the green triangle.
So the blue leg is a hypotenuse for two of the edges. So:
![blue^2 = leg^2 + leg^2](https://tex.z-dn.net/?f=blue%5E2%20%3D%20leg%5E2%20%2B%20leg%5E2)
from the Pythagorean Theorem
OR
![blue = \sqrt{leg^2 + leg^2}](https://tex.z-dn.net/?f=blue%20%3D%20%20%5Csqrt%7Bleg%5E2%20%2B%20leg%5E2%7D%20)
Which works out to:
![blue = \sqrt{10^2 + 10^2} = \sqrt{100+100} = \sqrt{200} = \sqrt{(100)(2)}=10 \sqrt{2}](https://tex.z-dn.net/?f=blue%20%3D%20%20%5Csqrt%7B10%5E2%20%2B%2010%5E2%7D%20%3D%20%20%5Csqrt%7B100%2B100%7D%20%3D%20%5Csqrt%7B200%7D%20%3D%20%20%5Csqrt%7B%28100%29%282%29%7D%3D10%20%5Csqrt%7B2%7D%20%20%20%20)
So now that we have that, using the Pythagorean Theorem again gives:
![red = \sqrt{blue^2 + 10^2} = \sqrt{(10 \sqrt{2})^2+10^2}= \sqrt{200+100}= \sqrt{300}](https://tex.z-dn.net/?f=red%20%3D%20%20%5Csqrt%7Bblue%5E2%20%2B%2010%5E2%7D%20%3D%20%20%5Csqrt%7B%2810%20%5Csqrt%7B2%7D%29%5E2%2B10%5E2%7D%3D%20%5Csqrt%7B200%2B100%7D%3D%20%5Csqrt%7B300%7D)
![\sqrt{300}= \sqrt{100*3}=10 \sqrt{3}](https://tex.z-dn.net/?f=%20%5Csqrt%7B300%7D%3D%20%5Csqrt%7B100%2A3%7D%3D10%20%5Csqrt%7B3%7D%20%20%20)
So the length of the red line is found that way.
But wait! There's more!
As it turns out, the red line can be found with an easier way that works with cubes and boxes (cuboids). It's really easy:
![a^2 + b^2+c^2=d^2](https://tex.z-dn.net/?f=a%5E2%20%2B%20b%5E2%2Bc%5E2%3Dd%5E2)
Where a, b, and c are all 10m, and d is the red line. This greatly reduces the math:
![d = \sqrt{10^2+10^2+10^2} = \sqrt{100+100+100} = \sqrt{300}](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B10%5E2%2B10%5E2%2B10%5E2%7D%20%3D%20%5Csqrt%7B100%2B100%2B100%7D%20%3D%20%20%5Csqrt%7B300%7D%20)
which gives the same answer as above, which you can see.
Step-by-step explanation:
the answer is 10x - 8.
3x+2
5x-7
2x-3
--------
10x-8
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-------- hope this helps you and please try to mark me as BRAINLIST.