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4391

(a) A cottage is on a bearing of 200° and 110° from Dogbe's and Manu's farms respectively. If Dogbe walked 5 km and Manu 3 km from the cottage to their farms, find, correct to: (i) two significant figures, the distance between the two farms, (ii) the nearest degree, the bearing of Manu's farm from Dogbe's.

(b) A ladder 10 m long leaned against a vertical wall xm high. The distance between the wall and the foot of the ladder is 2 m longer than the height of the wall.

Calculate the value of x

View Answer & Discuss (8) WAEC 2021
4392

The table shows the distribution of the number of hours per day spent in studying by 50 students.

Number of hours per day

4 5 6 7 8 9 10 11

Number of students

5 7 5 9 12 4 3 5

Calculate, correct to two decimal places,

the: (a) mean; (b) standard deviation.

View Answer & Discuss WAEC 2021
4393

In the diagram, PQRS is a circle. \(\overline{|PQ|}\) = \(\overline{|QS|}\). ∠SPR = 26° and the interior angles of PQS are in the ratio 2:3 :3.

Calculate: (i) PQR; (ii) RPQ; (iii) PRQ

(b) The coordinates of two points P and Q in a plane are (7, 3) and (5, x) respectively, where X is a real number.

If |PQ| = 29units, find the value of x.

View Answer & Discuss (1) WAEC 2021
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4394

(a) On Sam's first birthday celebration, his grandfather deposited an amount of S 1,000.00 in a bank compound at 4 % interest annually.

Find how much is in the account if Sam is 4 years old.

In the diagram above, ABCD are points on the circle centre O. If |AB| = |BC| and ∠ADC= 50°, find ∠BAD.

(a) Amount at end of the 2nd year = \(\frac{104}{100}\) x $1000

= $1,040.00

Amount at end of 3rd year = \(\frac{104}{100}\) x $1040

= $1,081.60

Amount at end of 4th year = \(\frac{104}{100}\) x $1081.6

= $1,124.86

(b) ∠ADC + ∠DCA+ ∠CAD = 180°

50° + 90°+ ∠CAD = 180° 

∠CAD = (180 - 140)° 

= 40

∠ADC + ∠ABC = 180°

  50° + ∠ABC = 180°

∠ABC =130°

∠BAC+ ∠BCA + ∠ABC = 180°

  But ∠BAC = ∠BCA

2∠BAC+ ∠130° = 180°

2 ∠BAC=50° 

∠BAC = 25°

∠BAD = ∠CAD + ∠BAC

= 40°+25°  = 65° 

View Answer & Discuss (11) WAEC 2021
4395

Solve for k in the equation \(\frac{1}{8}^{k+2}\) = 1

  • A. 2
  • B. -4
  • C. -2
  • D. 4
View Answer & Discuss (7) JAMB 2022
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