exam Maths Puzzle Numerical Ability

How many 1/3 tiles are needed to make 1?

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exam Other Question

Then angle x satisfies the equation 2tan^2x-5secx-10=0, where x is in the second quadrant. Find the exact value of sec x.

I know that the identity of 1+tan^2x=sec^2x may help me in this problem, but I am not sure what to do next. Thanks a lot!.
Miss Santos invested half of her money at 1% and half at 8% per year. Her annual income from the two investments was 7,500 pesos. How much did she invest at each rate?