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√5(√8 + √18) can be written in the form a√10 where a is an integer. Find the value of a.

√40 + √90

= (√10 x √4 ) + (√10 x √9 )

= 2√10 + 3√10=5√10

Answered by Abi I. • Maths tutor

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Solve 5(x + 3) < 60

5(x + 3) < 60Multiple the number outside of the bracket with the contents of the bracket:5x + 15 <60 Next, bring all the numbers to one side 5x <60-15Now simplify 5x < 45Simply further x < ...

Answered by Priyancaa J. • Maths tutor

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What is a vector and how do I calculate the 'modulus' of a vector?

A vector is something that has both magnitude and direction. An example of a vector is velocity because it has magnitude and direction. However, speed is not a vector. Th...

Answered by Anya S. • Maths tutor

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cosx=cos60° what's X between 0 and 360

x=300 because when you draw a y=cos x graph the cos 60 is on the decreasing part of the curve just before 90 degrees crossing zero. Then at 270 its increasing again and its 30 degrees more.

Answered by Omar B. • Maths tutor

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15 machines work at the same rate, 15 machines can complete an order in 8 hours, however 3 of the machines break down after 6 hours. The other machines continue until the order is complete. In total how many hours does EACH machine work? (3 mark question)

When tackling wordy questions such as this the first thing to do is to convert the question into an equation where possible. in this case 15M(Machines) x 8H(Hours)=120MH (Machine Hours). This initial equa...

Answered by Omar A. • Maths tutor

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