How to solve problems on similar shapes

Two square boards are made of the same material and their diagonals measure 40cm and 45cm, respectively. If the smaller cost N1920 to make, what should be the other cost?

Solution

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How to calculate the volume of a regular hexagonal nut

How to calculate the volume of a regular hexagonal nut Calculate the volume of a regular hexagonal nut of side 1cm and length 3cm with a central hole of diameter 1cm. Ignore the thread and give your answer to 3 significant figures. Solution To solve any problem in mathematics you have to read and understand the problem you are to solve, especially word problem related questions. Failure to carefully read the question might lead to wrong interpretation of the problem and the result of it will be wrong solution to the problem. All problems on this platform have been carefully solved and prepared. If you are a student looking for solutions to your assignments then you are at the right place. If you are an upcoming teacher looking for solution to a challenging question then you are also at the right place. You can as well contribute to the growth of this platform by sending questions and answers using the comment box . Ensure that questions and answers sent are corre...

How to find the common difference of AP when the first and last term are given

How to find the common difference of AP when the first and last term are given Question: The first and last terms of an AP are 6.7 and 17.1 respectively. If there are 14 terms in the sequence, find its common difference. Solution First term of the sequence a = 6.7 Last term of the sequence Tn = 17.1 Since the sequence has 14 terms, it means that the 14th term is the last term Therefore: Tn = T14 = 17.1 Recall the nth term formula Tn = a + (n-1)d Substitute Tn for T14, a for 6.7 and n for 14 to get the formula below T14 = 6.7 + (14-1)d T14 = 6.7 + 13d Substitute T14 for 17.1 T14 = 6.7 + 13d 17.1 = 6.7 + 13d Subtract 6.7 from both sides to get 17.1 - 6.7 = 6.7-6.7 +13d 10.4 = 13d Divide through by 13 10.4/13 = 13d/13 d = 104/130 The common difference is 104/130 CHECK Substitute 104/130 for d in T14 = 6.7 + 13d T14 = 6.7 + 13*104/130 = (6.7*130 + 13*104)/130 = (871 + 1352)/130 ...

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