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
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Answer:
(x +4)^2 -45
Step-by-step explanation:
The square of a binomial has the form ...
(x +a)^2 = x^2 +2ax +a^2
That is, the constant term (a^2) is the square of half the coefficient of the linear term: (2a/2)^2 = a^2.
To "complete the square", you add 0 in the form of the desired constant added to its opposite. Here, we want the constant for the square to be (8/2)^2 = 16. So, we can add 0 = 16 -16 to the expression:
x^2 +8x +16 -29 -16
(x^2 +8x +16) -45 . . . . group the terms that make the square
(x +4)^2 -45 . . . . rewritten after completing the square
A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or not infinitely long. If they aren't, then these are called irrational numbers.
Let's try each of the choices:
A. The term 2/4 is a rational number. Now, when 0.3 or 3/10 is added to it, the sum would be 4/5 or 0.8. This is a rational number.
B. √7 is an irrational number because its exact value is 2.645751311.... Even if you add 0.3 to it, the answer would still be irrational
C. Obviously, this is an irrational number
D. The exact value of π is <span>3.14159...... If 0.3 is added to it, the answer would be 3.441592654. This is irrational.
Therefore, the answer is A.</span>
Answer:
16% or 4/25
Step-by-step explanation:
16 + 5 = 21
25 - 21 = 4
4/25 = 16%
This is right because 21/25 is 84% and 84% + 16% = 100%
The gemstone has 22 edges.
We use Euler's formula on this:
F + V - E = 2
Substituting our information, we have:
14 + 10 - E = 2
Combining like terms,
24 - E = 2
Subtract 24 from both sides:
24 - E - 24 = 2 - 24
-E = -22
Divide both sides by -1:
-E/-1 = -22/-1
E = 22
