Top answers

Work out the number of people in the office.

In an office there are twice as many females as males. 1/4 of the females wear glasses. 3/8 of the males wear glasses. 84 people in the office wear glasses. Work out the number of people in the office.Let th...
LL
Answered by Linyu L. • Maths tutor
4889 Views

3/5 of a number is 162. what is the number?

SOLVING ALGEBRAICALLY3/5 of "a number" = 3/5 of "x"3/5 of x is equivalent to (3x)/5(3x)/5 = 162Move the "5" to the other side by multiplying:3x = (162x5) = 810We now have 3x = 8...
FJ
Answered by Fred J. • Maths tutor
4344 Views

Show that tan(x) + cot(x) = 2cosec(2x)

For this we have to use trignometric identities, e.g Tan(x)= sin(x)/cos(x), sin 2 (x) + cos 2 (x) = 1, 1/sin(x) = cosec(x) tan(x) + cot(x) = sin(x)/cos(x) + cos(x)/sin(x) = [sin 2 (x) + cos 2 (x)]/sin(x)cos(...
MB
Answered by Moin B. • Maths tutor
12251 Views

10 The table gives information about the heights of 50 trees. Height (h metres) Frequency 0 < h - 4 ,8, 4 < h - 8 ,21, 8 < h - 12, 12, 12 < h - 16, 7, 16 < h - 20, 2. Work out an estimate for the mean height of the trees.

First find the appropriate mid points of each set of intervals. These will be 2, 6, 10, 14 and 18, and you get these my dividing in two the interval range. Then multiply each midpoint by the corresponding fr...
CW
Answered by Charlie W. • Maths tutor
8947 Views

Why does the equation x^2+y^2=r^2 form a circle in the Cartesian plane?

The general line equation in the Cartesian plane is given by a x+b y=c, where a, b, and c are given constants. This means that all (x_0, y_0) points that are situated on the line satisfy the equation a x_0+b...
BS
Answered by Bálint S. • Maths tutor
16962 Views