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Maths
GCSE

A truck travels 110 miles in 2 hours. What is the average speed of the truck?

Speed is equal to the distance divided by the time, so this will be our calculation. In the question, the distance is given in miles and the time in hours, so the speed should be in miles per hour...

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Answered by Veer S. Maths tutor
10594 Views

x^2+10x+6=0 Find x

Quadratic formula. x=(b+-SQRT(b^2-4ac))/2a substitute. x=(10+-SQRT(100-416))/21 simplify. x=5+2SQRT(19)/2ORx=5-2SQRT(19)/2

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Answered by Arthur N. Maths tutor
3363 Views

Find the angle z in the following triangle.

< RIght angled triangle with sides of length 8mm, 5mm and h. Unknown angle z denoted.Use SOH CAH TOA in trigonometry to label the triangle accordingly, then find that 'tan' is to be used. Finally, use ...

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Answered by Abul Qasim A. Maths tutor
3288 Views

James is 7 years older than Kate. Sam is twice as old as James. The sum of their ages is 77. Find the ratio of Kate's age to James' age to Sam's age.

Kate's age = xJames age = x + 7 Sam's age = 2x + 14sum of age = 77 Therefore x + x+7 + 2x+14 = 774x + 21 = 77 4x = 56 x= 14 ratio = 14:21:42

DB
Answered by Danial B. Maths tutor
5275 Views

The equation of Line 1 is y=2x-2 and the equation of Line 2 is 2y-4x+5=0. Prove that these 2 lines are parallel to each other.

In order for 2 lines to be parallel, they must have the same gradient. As such, the first thing we should do is rearrange these equations in the form of y=mx+c, where m is the gradient and c is the y-inte...

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Answered by Darsh S. Maths tutor
4005 Views

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