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a right-angled triangle has base 2x + 1, height h and hypotenuse 3x. show that h^2 = 5x^2 - 4x - 1

initially, explain Pythagorean's Theory --> a^2 + b^2 = c^2.explain c is the hypotenuse, a and b can be either base or height.using a as base and b as height, a = 2x+1. b = h. c = 3xsubstitute into for...

MA
Answered by Mohammad A. • Maths tutor
2985 Views

Solve the following system of equations simultaneously to find the values of x, y and z. 2x+3y+4z=3, -x-y+z=1, 2x+y-z=0

First scale one of the equations so that upon addition or subtraction from another of the equations we cancel one of the 3 variables, next do this again replacing one of the equations used with the unused...

SA
Answered by Shaun A. • Maths tutor
2502 Views

A right-angle triangle has three sides (diagram would be included). Side A = 3cm; Side B = 7cm. What is the length of Side C (the hypotenuse)? Give your answer to 2 d.p.

Using Pythagoras' Theorem --> a2+ b2 = c2 (or c = SqRT(a

AS
Answered by Ashley S. • Maths tutor
2819 Views

There are 12 counters in a bag. 1/2 are red, 1/3 of the remaining counters are blue. The rest are green. How many counters are green?

1/2 of 12 is 6 - 6 red counters. 6 remaining counters. 1/3 of 6 is 2 - 2 blue counters. 4 remaining counters - 4 green counters

NG
Answered by Nayan G. • Maths tutor
2239 Views

A plane travels at a speed of 213 miles per hour. Work out an estimate for the number of seconds the plane takes to travel 1 mile.

Since the plane travels 213 miles per hour, it must travel on average 1 mile every 1/213rd of an hour.We know that there are 60 minutes in 1 hour, and 60 seconds in a minute, so there are 60 x 60 = 3600 s...

TL
Answered by Tom L. • Maths tutor
5955 Views

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