Mathematics

If 6×3+2×2−5x+1 divides x2−x−1, find the remainder.

6x³+2x²−5x+1 divides x²−x−1 A. 9x + 9 A. 2x + 6 B. 6x + 8 C. 5x - 3 Correct…

5 years ago

Given sin58° = cosp°, find p.

A. 48° B. 58° C. 32° D. 52° Correct Answer: Option C C. 32° Explanation sinθ=cos(90−θ) sinθ=cos(90−58) = cos32

5 years ago

Find the length of the chord |AB| in the diagram shown below.

A. 4.2 cm B. 4.3 cm C. 3.2 cm D. 3.4 cm Correct Answer: Option D D. 3.4 cm Explanation…

5 years ago

In a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?

A. 42 B. 20 C. 70 D. 54 Correct Answer: Option B B. 20 Explanation n(Total) = 50 n(Physics) =…

5 years ago

The table above shows the number of pupils in a class with respect to their ages. If a pie chart is constructed to represent the age, the angle corresponding to 8 years old is

Ages in years 7 8 9 10 11 No. of Pupils 4 13 30 44 9 A. 48.6° B. 56.3°…

5 years ago

A binary operation ⊗ is defined by m⊗n=mn+m−n on the set of real numbers, for all m, n ∈ R. Find the value of 3 ⊗ (2 ⊗ 4).

A. 6 B. 25 C. 15 D. 18 Correct Answer: Option C C. 15 Explanation m⊗n=mn+m−n 3 ⊗ (2 ⊗…

5 years ago

The angle of elevation of the top of a tree from a point on the ground 6cm away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number.

A. 148m B. 382m C. 282m D. 248m Correct Answer: Option C Explanation tan78 = h/60 h =60tan78 h= 60×4.705…

5 years ago
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