Rates and variations questions | form three Basic Mathematics

The distance of the horizon d km varies as the square root of the height h m of the observer above sea level. an observer at a height of 100m above sea level sees the horizon at a distance of 35.7km.

Find ;

1. the distance of the horizon from an observer 70m above sea level.
2. an equation connecting d and h.

Answer / Solution

UNSOLVED

The value V of a diamond is proportional to the square of its weight W. It is known that a diamond  weighing 10grams is worth shs. 200,000/=.

1. Write down an expression which relates V and W.
2. Find the value of a diamond weighing 30 grams.
3. Find the weight of a diamond worth shs.5,000,000/=

Answer / Solution

UNSOLVED

A variable “a” varies directly as “b” and inversely as the square root of “c”. If a=0.2 when b=4 and c=100, find the value of a when b=16 and c=64.

Answer / Solution

UNSOLVED

If n*m=(a+m)²-m, find the value of (3*1)*2.

Answer / Solution

UNSOLVED

The operator * is defined as a*b=b²-a. Find the value of 1*(3*2).

Answer / Solution

UNSOLVED