an = 5n − 7
This is an arithmetic sequence with first term a = -2 and common difference d = 5.
General formula: an = a + (n−1)d = -2 + (n−1)×5 = 5n − 7.
Let daughter's age be x → Iqra's age = 4x
After 12 years:
→ Daughter's age = x + 12, Iqra's age = 4x + 12
→ Total = (x + 12) + (4x + 12) = 5x + 24 = 69
→ 5x = 45 → x = 9
→ Iqra’s age = 4 × 9 = 36 years
Formula: Perimeter = 2 × (Length + Width)
⇒ 66 = 2 × (15 + Width)
Solving: 33 = 15 + Width ⇒ Width = 18 meters.
Given the analysis:
The distances between the points are:
AB = 3
BC = 4
CA = 5
Since all three sides have different lengths, the triangle is scalene.
Cost Price (CP) = Rs. 950
Selling Price (SP) = Rs. 1100
Profit = SP - CP = 1100 - 950 = 150
Profit % = (Profit / CP) × 100
= (150 / 950) × 100
= 15.789%
≈ 15.8%
The hypotenuse is always opposite the right angle in a right-angled triangle.
Therefore, the angle opposite the hypotenuse is always 90°.
The formula for each interior angle of a regular polygon is:
[(n – 2) × 180°] ÷ n
For a pentagon (n = 5):
[(5 – 2) × 180°] ÷ 5 = (3 × 180°) ÷ 5 = 540° ÷ 5 = 108°
Number of rabbits = 3/8 × 480
= 180
Number of white rabbits = 2/5 × 180
= 72
To convert millimeters to centimeters, divide by 10:
0.6 mm ÷ 10 = 0.06 cm.
Total trees = Number of rows × Trees in each row
= 243 × 21
= 5103