exam Maths Puzzle Numerical Ability

I need help with these three questions. I cannot solve them. thank you.

If (theta) is an acute angle with cos(theta) = 1/9, find the exact value of sin a/2.

If (theta) is a

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exam Other Question

Here is my word problem.

There are two companies that sell widgets. Both companies sell the widgets to the general public for the same price. In order to earn business, Company You have 480 feet of fencing to enclose a rectangular garden. You want the length of the garden to be 30 feet greater than the width. Find the length and width of the garden. How long should each piece be?