Height of a right-angled triangle
Given numbers a, b and c, find the height of the right angled triangle with sides a and b and hypotenuse c, for the base c. If a...
Dimensions of a rectangle
The longer side of a rectangle is three times the length of the shorter side. If the length of the diagonal is x, find the width...
Laws of motion 4
Given the initial velocity 'u', final velocity 'v' and acceleration 'a', find the distance travelled.
6日 前
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Laws of motion 5
Calculate the force is u are given mass and acceleration.
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Calculate a Damped Sinusoid
The equation of a damped sinusoid can be written as
y = A.ⅇ^(-λt)*cos(2πft)
where A, λ, and f are scalars and t is a vector.
...
6日 前
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Solve a System of Linear Equations
Example:
If a system of linear equations in x₁ and x₂ is:
2x₁ + x₂ = 2
x₁ - 4 x₂ = 3
Then the coefficient matrix (A) is:
2 ...
6日 前
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Calculate BMI
Given a matrix hw (height and weight) with two columns, calculate BMI using these formulas:
1 kilogram = 2.2 pounds
1 inch = 2...
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Verify Law of Large Numbers
If a large number of fair N-sided dice are rolled, the average of the simulated rolls is likely to be close to the mean of 1,2,....
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Find the Oldest Person in a Room
Given two input vectors:
* |name| - user last names
* |age| - corresponding age of the person
Return the name of the ol...
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Convert from Fahrenheit to Celsius
Given an input vector F containing temperature values in Fahrenheit, return an output vector C that contains the values in Celsi...
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Calculate Amount of Cake Frosting
Given two input variables r and h, which stand for the radius and height of a cake, calculate the surface area of the cake you n...
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Length of a short side
Calculate the length of the short side, a, of a right-angled triangle with hypotenuse of length c, and other short side of lengt...
6日 前
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Is this triangle right-angled?
Given three positive numbers a, b, c, where c is the largest number, return true if the triangle with sides a, b and c is right-...
6日 前
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Length of the hypotenuse
Given short sides of lengths a and b, calculate the length c of the hypotenuse of the right-angled triangle.
<<https://i.imgu...
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Area of an Isoceles Triangle
An isosceles triangle has equal sides of length x and a base of length y. Find the area, A, of the triangle.
<<https://imgur...
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Area of an equilateral triangle
Calculate the area of an equilateral triangle of side x.
<<https://i.imgur.com/jlZDHhq.png>>
Image courtesy of <http://up...
6日 前
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Side of a rhombus
If a rhombus has diagonals of length x and x+1, then what is the length of its side, y?
<<https://imgur.com/x6hT6mm.png>>
...
6日 前
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Is this triangle right-angled?
Given any three positive numbers a, b, c, return true if the triangle with sides a, b and c is right-angled. Otherwise, return f...
6日 前
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Find a Pythagorean triple
Given four different positive numbers, a, b, c and d, provided in increasing order: a < b < c < d, find if any three of them com...
Side of an equilateral triangle
If an equilateral triangle has area A, then what is the length of each of its sides, x?
<<https://i.imgur.com/jlZDHhq.png>>
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