A man stands on a tree 150cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.
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111 questionsA man's initial salary is N540.00 a month and increases after each period of six months by N36.00. Find his salary in the eight month of the third year.
Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12
Divide the L.C.M of 48, 64 and 80 by their H.C.F
A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room.
Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later Kehinde sells \(\frac{2}{3}\) of her share to Taiwo for N720.00. Find the value of the store
\(\frac{0.00256 \times 0.0064}{0.025 \times 0.08}\)
How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m?
In the diagram, GI is a tangent to the circle at H. If EF||GI, calculate the size of ∠EHF
A car uses one litre of petrol for every 14km. If one litre of petrol cost N63.00, how far can the car go with N900.00 worth of petrol?
A boy walks 800m in 20 minutes. Calculate his average speed in Km/H
The table shown gives the marks scored by a group of student in a test. Use the table to answer the question given.
| Mark | 0 | 1 | 2 | 3 | 4 | 5 |
| Frequency | 1 | 2 | 7 | 5 | 4 | 3 |
What is the probability of selecting a student from the group that scored 2 or 3
The table shown gives the marks scored by a group of student in a test. Use the table to answer the question given.
| Mark | 0 | 1 | 2 | 3 | 4 | 5 |
| Frequency | 1 | 2 | 7 | 5 | 4 | 3 |
What is the median mark?
A machine valued at N20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years?
If the simple interest on a sum of money invested at 3% per annum for 2\(\frac{1}{2}\) years is N123, find the principal.
What is the place value of 9 in the number 3.0492?
Make T the subject of the relation.
Simplify
\(\frac {25^{\frac{2}{3}} \div 25^{\frac{1}{6}}} {(\frac{1}{5})^{\frac{7}{6}} \div (\frac{1}{5})^{\frac{1}{6}}}\)
An arc of a circle of radius 14cm subtends angle 300° at the centre. Find the perimeter of the sector formed by the arc (take π = \(\frac{22}{7}\))
The probabilities that John and James pass an examination are \(\frac {3}{4}\)and \(\frac {3}{5}\) respectively. Find the probability of both boys failing the examination.