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What is the length of a if a triangle has lengths of b=6.4cm and c=5.6cm with an angle A=107.9 degrees?

We are going to have to use the cosine rule for this type of question. The cosine rule is a2=b2+c2 - 2bcCosATherefore a2= (6.46.4) + (5.65.6) - (26.45.6)*Cos107.9 If we plug this into ou...

Answered by Maria K. • Maths tutor

2834 Views

A car is travelling with a velocity of "0.5t^2+t+2" m/s at t=0 (where t is in seconds), find the acceleration of the car at a) t=0 b)t=2

Acceleration can be described as the 'rate of change of velocity' as it is simply how quickly the car is increasing/decreasing in velocity. Therefore as the velocity is described...

Answered by Dominic E. • Maths tutor

2977 Views

Observe the following set of data points: [1 2 2 2 3 4 8 9 9 10 10 12]. What is the mean and standard deviation of this data? Are the mean and standard deviation a good summary of the distribution, and why? Calculator allowed.

The mean of the data is calculated simply as the sum of the numbers divided by their count: (1+2+2+2+3+4+8+9+9+10+10+12) / 12 = 6.The standard deviation is the square root of the variance...

Answered by Andrey B. • Psychology tutor

1749 Views

simply fully (2x^2 -3)^2 - (2x^2 + 2)^2

= (2x^2-3)(2x^2-3) -{(2x^2+2)(2x^2+2)}= 4x^4-6x^2-6x^2+9 -(4x^4+4x^2+4x^2+4)= 4x^4-12x^2+9-4x^4-8x^2-4= -20x^2+5= -5(4x^2-1) or 5(-4x^2+1)

Answered by morgan s. • Maths tutor

2806 Views

Write a function that takes a string, and outputs that string formatted in camelcase. (alternating upper and lower case for each character, e.g. cAmElCaSe)

A simple approach would be something like the following:def camelcase(text): camel_chars = [] # start an empty list where we'll store the components of the new string for i in range(len(text)): # for each...

Answered by Andrey B. • Python tutor

1621 Views