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A triangle has sides of 4cm and 5cm with the hypotenuse unknown. What is the length of the unknown side?

Pythagorus' theorem a^2 + b^2 = c^2 4^2 + 5^2 = c^216+25 = c^241 = c^2Root 41 or 6.403 = c
Answered by • Maths tutor
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Explain the effect on economic growth if a government increases income tax (ceteris paribus).

An increase in taxation reflects tighter fiscal policy, reducing the take home pay of those employed. This will reduce the amount of income that households are willing to spend on goods and services in the e...
Answered by • Economics tutor
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A curve C has equation: y = x^2 − 2x − 24x^1/2, x > 0; Find (i) dy/dx (ii) d^2y/dx^2

i) let dy/dx = ans, where ans = y, where you multiply the coefficients of each constant of x by the power and reduce the power by 1 in the equation ytherefore dy/dx = 2x - 2 - 12x -1/2 ii) repeat the process...
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Answered by Charles H. • Maths tutor
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A teacher gives her students a maths test and they receive the scores: 4, 4, 7, 3, 9, 10, 5, 8. What was the mean score of the class?

To work out the mean, we first add up all of the scores so 4+4+7+3+9+10+5+8= 50. We then divide by the number of student who took the test, or the number of scores given, which is 8. Divide 50 by 8 to give u...
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Answered by Carmen L. • Maths tutor
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I have a lot of extra-curricular activities to include in my personal statement but am unsure of how to use the experiences effectively in my statement.

It is always important to ask yourself, what did I learn? If you are writing your personal statement and find yourself just listing work experience, extra-curricular activities or character traits you may ne...
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