1991 - WAEC Mathematics Past Questions and Answers - page 3
Find the coordinates of point B
B occurs at the point y = 0.
When y = 0, we have
4x + 3(0) = 6
4x = 6
x = 1\(\frac{1}{2}\)
B = \((1\frac{1}{2}, 0)\)
common difference d. Find, in terms of d, the 5th
term of the A.P.
T5 = 2d + (5 - 1)d = 2d + 4d = 6d
greater than the 1st term by 45, find the 5th term,
∴ ar4 = a(2)4 = 16a; 16a = 45 + a, a = 3;
3(2)4 = 48
20oE) respectively. What is the distance between
them, along their line of latitude? (Give your
answer in teems of π and R, the radius of the earth).
using θ/360 x 2πr for distance between p and Q
= 60/360 x 2πRcos4o = 1/3πRcos4o
Given that sin \(\theta\) = -0.9063, where O \(\leq\) \(\theta\) \(\leq\) 270°, find \(\theta\).
Sin\(\theta\) = -0.9063; \(\theta\) = sin-1(0.9063)
\(\theta\) = -64.99 = -65°
\(\theta\) = 180° - (-65);
180 + 65 = 245°
a boat on the sea is 60o, if the top of the cliff is
25m above the sea level, calculate the horizontal
distance from the bottom of the cliff to the boat.
away from a point on the ground is 30o. Find the height of the tree
In the diagram above, ATR is a tangent at the point T to the circle center O, if ∠TOB = 145°, find ∠TAO
From the figure, < ATO = 90°
< AOT = 180° - 145° = 35°
\(\therefore\) < TAO = 180° - (90° + 35°)
= 55° (sum of angle in a triangle)
P={2, 1,3, 9, 1/2}; Q = {1,21/2,3, 7} and R = {5, 4, 21/2}. Find P∪Q∪R
P = {2,1,3,9,1/2}; Q = {1,21/2,3,7}
R = {5,4,212}
P∪Q∪R = {1/2,1,2,21/2,3,4,5,7,9}
= {1/2,1,2,21/2,3,4,5,7,9}