The side of the edge of the cube is 9. 9cm
<h3>How to determine the length</h3>
Given that the diagonal of a cube measures the square root of 294cm and the diagonal of a face measures 14cm
To find the edge of the face, we know that the face of the cube is a square
Formula for diagonal of a square = ![\sqrt{2a}](https://tex.z-dn.net/?f=%5Csqrt%7B2a%7D)
Where is the side of the square
We then have,
![\sqrt{2a} = 14](https://tex.z-dn.net/?f=%5Csqrt%7B2a%7D%20%20%3D%2014)
Make 'a' the subject
a = ![\frac{14}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7B%5Csqrt%7B2%7D%20%7D)
Simplify the surd
a =
× ![\frac{14}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7B%5Csqrt%7B2%7D%20%7D)
a = ![\frac{14\sqrt{2} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B14%5Csqrt%7B2%7D%20%7D%7B2%7D)
a = ![7\sqrt{2}](https://tex.z-dn.net/?f=7%5Csqrt%7B2%7D)
a = 9. 9cm
Therefore, the side of the edge of the cube is 9. 9cm
Learn more about a cube here:
brainly.com/question/1972490
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Answer:
The one you had circled is correct!
Step-by-step explanation:
1.234
1- ones
2- 10ths
3- hundreths
4- thousenths
hope that helps
The approximate volume of the sphere is 904.779 . Which you could round to 905 if need be.
Answer:
After 4 days, the number of people attending both conferences be the same.
Step-by-step explanation:
We are given the following in the question:
Maths conference:
Number of people already signed = 7
Number of people who sign up each day = 2
Thus, the number of people who will sign up for maths conference in x days will be given by the linear function:
![f(x) = 7+2x](https://tex.z-dn.net/?f=f%28x%29%20%3D%207%2B2x)
History conference:
Number of people already signed =11
Number of people who sign up each day = 1
Thus, the number of people who will sign up for maths conference in x days will be given by the linear function:
![g(x) =11+x](https://tex.z-dn.net/?f=g%28x%29%20%3D11%2Bx)
Both conference will have same number of people when
![f(x) = g(x)\\\Rightarrow 7 + 2x = 11+x\\\Rightarrow x = 4](https://tex.z-dn.net/?f=f%28x%29%20%3D%20g%28x%29%5C%5C%5CRightarrow%207%20%2B%202x%20%3D%2011%2Bx%5C%5C%5CRightarrow%20x%20%3D%204)
Thus, after 4 days, the number of people attending both conferences be the same.
Answer:
4
Step-by-step explanation:
On a number line you will got to -8 and go up 12 and you would get 4