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Maths
GCSE

Show that 6sin(60◦) + 5tan(60◦) can be written in the form √k where k is an integer.

sin(60◦) = √3 /2 

tan(60◦) = √3

6sin(60◦) + 5tan(60◦) = 3√3 + 5√3 = 8√3 = √64√3 = √192

AG
Answered by Alistair G. Maths tutor
3841 Views

Solve the following equations x^2-2x+4=0, x^2+4x+1=0

x2-2x+4= (x-2)(x-2)=0  x=-2 (double root)  

x2+5x+1=0

x1,2= -5+_ (52-4(1)(1) )0.5/2 

x1=4.8     x2=-0.2 (t...

KF
Answered by Kyriakos F. Maths tutor
3071 Views

Work out 51% of 400?

51/100 * 400 = 51/100 * 400/1 = 51/1 * 4/1

= 204 

TT
Answered by Thana T. Maths tutor
5071 Views

There are a total of 50 apples and pears (apples + pears) in a large basket. If the total number of apples was doubled and the total number of pears was tripled, these two numbers would add up to 130. How many apples and pears are in the basket?

Solve this simultaneously.

Where a= apples and p= pears,

a+p=50 and 2a+3p=130

Multiply a+p=50 by 2 on both sides to get:

2a+2p=100

Then subtract the two equations from e...

CB
Answered by Christopher B. Maths tutor
3068 Views

f(x)=2x+c, g(x)=cx+5, fg(x)=6x+d; c and d are constants. Work out the value of d

f(g(x))=2(cx+5)+c

fg(x)=2cx+10+c

2cx=6x

2c=6

c=3

10+c=d

d=13

IB
Answered by Imogen B. Maths tutor
5362 Views

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