<h3>
Answer: x = 12</h3>
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Explanation:
The hexagon is broken up into 6 congruent or identical equilateral triangles. If we find the area of one triangle, then we multiply by 6 to get the area of the hexagon.
Going in reverse, we divide the hexagon's area by 6 to get the area of one equilateral triangle
We're told the hexagon has an area of square inches. Divide this by 6 and you should get the result . So each of the six equilateral triangles has area of square inches.
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Each triangle has a base of and a height of
The x/12 and x/6 are exponents.
Let and be the base and height respectively.
Also, let be the area of the triangle
We can then solve for x like so:
Since the bases are equal to 3, this means the exponents must be equal as well (for both sides overall to be equal)
3/2 = x/8
3*8 = 2*x ... cross multiply
24 = 2x
2x = 24
x = 24/2
x = 12
Multiply the 6 (the denominator), and the 13 (the whole number). To this product, add the 5 (the numerator).
<span>It then gives you 83, which is now the numerator for the improper fraction, and use the 6 as the denominator for the improper fraction.
Therefore the mixed number (13 6/5) is now 83/6 written as an improper fraction.</span>
Answer:
Step-by-step explanation:
So you have a constant value of 5 dollars and a variable value of 1.50 dollars. some equation of these numbers equals 23 dollars. That equation is
23=5+(1.50n) where n is the number of booster packs.
The answer to this equation is 10 = x
Solution:
We are given:
μ=60
σ=15.9
n=40
Therefore, the z-statistic is 1.19