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 ![\sqrt[3]{a} = x ((x^{3} + 2a)/(2x^{3} + a))](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Ba%7D%20%3D%20x%20%28%28x%5E%7B3%7D%20%20%2B%202a%29%2F%282x%5E%7B3%7D%20%20%2B%20a%29%29)
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.
Learn more about cube root :brainly.com/question/27863878
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Its impossible to draw a trapezoid with just three right angles.
a trapezoid has 4 sides, which means all the angles inside the trapezoid must add up to 360 degrees.
if you have just 3 right angles (90x3), you already use up 270 degrees. Leaving you with just 90 degrees left, which is also a right angle. That means, there has to be four, if you have at least 3.
Step-by-step explanation:
Answer:
x = 20
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°
add expressions for each angle then combine 'like terms':
6x - 5 + 2x - 3 + x + 8 = 180
9x - 8 + 8 = 180
9x = 180
x = 180/9
x = 20
Answer:
X: discrete
Y: continuous
M: continuous
N: discrete
P: discrete
Q: continuous
Step-by-step explanation:
First, we have to know the difference between discrete and continuous variables:
- Discrete variables are those that represent things that are counted, 3 red cars, 2 chickens, etc.. They take positive integer values, {0, 1, 2, ..., n}, being [0, n] the interval from which the variable takes values, that means, there is a finite number of possible values.
- Continuous variables are those that represent things that are measured, 3.56 km of railway laid, 5.77 l of paint used. They take positive real values, that means that in the interval used for the variable there are infinite possible values.
Now, we classify each variable:
- The number of automobile accidents per year in Virginia (X) is a discrete variable, as there can't be half an accident, one counts how many accidents are per year to know X.
- The length of time to play 18 holes of golf (Y) is a continuous variable, as it can take 2 hours, or 2.5 hours, or 2 hours, 30 minutes, 2 seconds, one measures how long it took to play 18 holes to know Y.
- The amount of milk produced yearly by a particular cow (M) is a continuous variable, as one measures how much milk was produced to know M.
- The number of eggs laid each month by a hen (N) is a discrete variable, as one counts how much eggs were laid to know N.
- The number of building permits issued each month in a certain city (P) is a discrete variable, as one counts how many permits were issued to know P.
- The weight of grain produced per acre (Q) is a continuous variable, as one measures the weight per acre to know Q.
