In the diagram above, O is the centre of a circle NST. |NT| = |ST| and ∠NTS = 36°. Find the measure of the angle marked t.
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2023
The length of the diagonal of a square is 12 cm. Calculate the area of the square.
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2023
Find the quadratic equation whose roots are \(\frac{2}{3} and \frac{- 3}{4}\)
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2023
Solve: \(log_3 x + log_3 (x - 8) = 2\)
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2023
In the diagram, NR is a diameter, ∠MNR = x° and, ∠SRN = (5x + 20)°. Find the value of 2x.
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2023
The price of a shoe was decreased by 22%. If the new price is $27.3. what is the original price.
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2023
Write the name of a triangle with the vertices (1, -3), (6, 2) and (0,4)?
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2023
Consider the statements:
p: Siah is from Foya.
q: Foya is in Lofa.
Write in symbolic for the statement: "If Siah is from Foya, then Foya is in Lofa"
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2023
Mrs Kebeh stands at a distance of 110 m away from a building of vertical height 58 m. If Kebeh is 2 m tall, find the angle of elevation of the top of the building from her eye.
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2023
An equilateral triangle has a side 2 cm. Calculate the height of the triangle.
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2023
Factorize completely: \(x^2 - (y + z)^2\)
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2023
How many students scored at least 3 marks?
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2023
What percentage of the students scored at most 5 marks?
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2023
The bar chart represents the distribution of marks scored by students in an economics examination. Use the bar chart to answer questions 30 to 32
If the failed mark was 4, what is the probability that a student selec…
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2023
The truth set of \(8 + 2x - x^2\) = 0 is {p, q}. Evaluate p + q.
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2023
A bag contains 4 white marbles and 3 blue marbles. Another bag contains 5 red and 6 blue marbles. If a marble is picked at random from each bag, find the probability that they are of the same colour.
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2023
A line L passing through the point (6, -13) is parallel to the line which passes through (7, 4) and (-3, 9). Find the equation of the line L.
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2023
John was facing S35°E. If he turned 90° in the anticlockwise direction, find his new direction.
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2023
A number is chosen at random from 40 and 50 inclusive. Find the probability that the number is prime.
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2023
Arrange the following in ascending order of magnitude \(110_{two}, 31_{eight}, 42_{five}\)