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An triangular prism has base xcm, height (x+4)cm and length 4xcm. Find the volume of the prism in terms of x. Find the volume when x=2cm.

This question combines knowledge of volume equations with using unknown variables. We know the volume of a prism is the area of the face multiplied by the length. The first step would be to find the area of ...
MP
Answered by Megan P. • Maths tutor
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What factor was more important to the failure of the League of Nations: the economic depression of the 1930s or the Abyssinia Crisis?

Factors arguing for the depression: UNdermined spirit of goodwill and cooperation that the Leagure depended on. For example, the collapse of world trade intensified the need for economic resources (evident i...
CF
Answered by Charlie F. • History tutor
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Make "a" the subject of the following equation: 2b = (3a+4)/(c-a)

In order to solve this question, we need to have all the terms containing 'a' on one side of the equals sign, and the other terms on the other side of the equals sign. First, we multiply both sides by (c-a),...
TD
Answered by Tutor161443 D. • Maths tutor
3768 Views

The are 10 coloured balls in a bag, 4 red, 3 green, 2 orange and 1 yellow. John picks out balls and replaces them one at a time. What is the probability that the first two he picks are red?

The probability that John picks out a red ball is: The number of red balls divided by the total number of balls = 4/10 Because the balls are replaced, each event is independent so every time John picks out a...
HT
Answered by Haroon T. • Maths tutor
4512 Views

Solve the simultaneous equations. x^2 + 2y=9, y-x=3

Use the method of substitution to answer this question. Step 1: Rearrange one of the equations to find x or y. y-x=3 y=x+3 Step 2: Substitute your y into the first equation x 2 +2y=9 x 2 +2(x+3)=9 Step 3: Ex...
KW
Answered by Kieran W. • Maths tutor
5369 Views