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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
3461 Views

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 giv...

CL
Answered by Carmen L. Maths tutor
2913 Views

Solve x^2+6x+5=0

Use factorisation to solve this. You must find a pair of numbers that add to make 6 and multiply to make 5. In this question, 5 and 1 add to make 6 and they also multiply to make 5. So the factorised equa...

CL
Answered by Carmen L. Maths tutor
3020 Views

5.00 g of copper(II) carbonate decomposes to form copper(II) oxide and carbon dioxide: CuCO3(g) → CuO(s) + CO2(g). Calculate the maximum mass of carbon dioxide that can be produced. (Mr of CuCO3 = 123.5, Mr of CO2 = 44.0)

Moles of CuCO3 (using triangle) = 5.00/123.5 = 0.0450 mol.1 mol of CuCO3 makes 1 mol of CO2, therefore 0.0450 mol of CuCO3 makes 0.0450 mol of CO2.Using the triangle, mass of CO2 = 44 x 0.0450 = 1.78 gram...

CB
Answered by Clemmie B. Chemistry tutor
10494 Views

Robin and Emma both buy cupcakes for a bake sale. Between them, they purchase 125 cupcakes for the bake sale. Emma buys 50% more cupcakes then Robin and gets a 20% discount. The total cost of the 125 cupcakes was £137.5. What is the price of one cupcake?

1 ) Identify the information given in the question:Total number of cupcakes bought: 125Number bought by Emma is 50% more than Robin: mathematically we write that was Emma = 1.5 Robin as 50% = 0.5 in decim...

AB
Answered by Annelie B. Maths tutor
3011 Views

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