Answer:
20 20/27
Step-by-step explanation:
(2 2/3)(3 1/3)(2 1/3) = (8/3)(10/3)(7/3) = 560/27 = 20 20/27
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<em>Additional comment</em>
The first two numbers can be written as a difference and a sum:
= (3 -1/3)(3 +1/3)(2 1/3)
= (3·3 -1/3·3 +3·1/3 -1/3·1/3)(2 1/3)
= (9 -1/9)(2 +1/3) = 9·2 +9·1/3 -1/9·2 -1/9·1/3 = 18 +3 -6/27 -1/27
= 20 20/27
the answer is 3n-2 please do you get it
Move all the logarithms on the left hand side, and all the constants on the other:
Use the rule of logarithms
To rewrite the equation as
Evaluate 2 to the power of each side:
Multiply both sides by 2x:
Answer:
10 (love biking)
Step-by-step explanation:
The ratio is 2(Skateboarding):5(biking) which, when doubled is; 4(skateboarding):10(biking)
To determine the ratio, we need to know the formula of the area of an hexagon in terms of the length of its sides. We cannot directly conclude that the ratio would be 3, the same as that of the ratio of the lengths of the side, since it may be that the relationship of the area and length is not equal. The area of a hexagon is calculated by the expression:
A = (3√3/2) a^2
So, we let a1 be the length of the original hexagon and a2 be the length of the new hexagon.
A2/A1 = (3√3/2) a2^2 / (3√3/2) a1^2
A2/A1 = (a2 / a1)^2 = 3^2 = 9
Therefore, the ratio of the areas of the new and old hexagon would be 9.