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 = 
Where is the side of the square
We then have,

Make 'a' the subject
a = 
Simplify the surd
a =
× 
a = 
a = 
a = 9. 9cm
Therefore, the side of the edge of the cube is 9. 9cm
Learn more about a cube here:
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Answer:
3/8
Step-by-step explanation:
probability = wanted outcomes / total outcomes
odds = wanted outcomes / unwanted outcomes
Odds of 3:5 losing means 3 losing outcomes and 5 winning outcomes.
The total outcomes is 8
The probability of losing which is the probability that the event will fail to occur is 3/8.
Answer: Choice D
Explanation:
The increase of 9.8% rounds to 10% when rounding to the nearest ten
An increase of 10% would use the multiplier 1.1
Think of it like saying 1 + 0.10 = 100% + 10%
Similarly, the 5.1% rounds to 5% and an increase of this amount will use the multiplier 1.05
So if we started with 20 items, then 20(1.1)(1.05) is the expression that estimates an increase of 10% followed by an increase of 5%. The order doesn't matter (so you could increase by 5% first, then 10% later).
$52 × .06 = 3.12
52 + 3.12 = 55.12
55.12 × 0.15 = 8.27
55.12 + 8.27 = 63.39