How many significant figures will be in the answer when you multiply 3.4 x 4.56?
1 answer:
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The cube root of 60 is 3.87 approximately.
Step by step solution:
We can calculate the cube root by Halley's method:
The formula is
where,
a = number whose cube root is being calculated
x = integer guess of its cube root.
Here a = 60,
Suppose x as 3
[∵ 3³ = 27 and 27 is the nearest perfect cube that is less than 60]
⇒ x = 3
Therefore,
∛60 = 3 (3³ + 2 × 60)/(2 × 3³ + 60)) = 3.87
⇒ ∛60 ≈ 3.87
Therefore, the cube root of 60 is 3.87 approximately.
Here , ∛60 is irrational because it cannot be expressed in the form of p/q where q ≠ 0.
Therefore, the value of the cube root of 60 is an irrational number.
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Answer:
If the kid walks for the dotted line, the distance is 36ft.
Now, you can see that this is a triangle rectangle, then we must have that:
x^2 + (x + 6)^2 = 36^2 (the Pythagorean theorem)
Now we must solve this for x.
x^2 + x^2 + 2*6*x + 36 = 36^2
2*x^2 + 12*x -1260 = 0
The solutions for this equation are:
the solutions are:
x = (-12 - 101.1)/4 = -28.78
x = (-12 + 101.1)/4 = 22.3
Then we have x = 22.3 ft
The lenght of the path following the cathetus is:
D = x + x + 6 = 2*22.3ft + 6ft = 50.6ft
Then the difference between the distances is:
Diff = 50.6ft -36ft = 14.6ft