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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...

Answered by Linyu L. • Maths tutor

4219 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 ...

Answered by Fred J. • Maths tutor

3592 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), sin²(x) + cos²(x) = 1, 1/sin(x) = cosec(x)
ta...

Answered by Moin B. • Maths tutor

10944 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 correspondin...

Answered by Charlie W. • Maths tutor

8100 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 ax+by=c, where a, b, and c are given constants. This means that all (x_0, y_0) points that are situated on the line s...

Answered by Bálint S. • Maths tutor

11002 Views