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This question can be solved using a tree diagram. First we need to map out the two possible outcomes from the question:

H=heads T= tails. The first scenario is HHH, as the probability of H each tim...

38% and 38/100.

Start with the LHS:

(cos^4x - sin^4x) / cos^2x 

Recognise the difference of two squares on the top line, which simplifies to (cos^2x - sin^2x)(cos^2x + sin^2x):

(cos^2x - sin^2x)(cos^...

We can use the following formula: Amount after n years' compound interest = Initial amount x (1 + r)ⁿ r = The interest rate in decimal form. n = Number of years. Simply plug the values into our...

Step 1 define the variables:

L stands for the length, W stands for the width

Step 2 write what we know algebraically: 

Since the length is 5 meters l...