The formula for the perimeter of an equilateral triangle is P = 3 × side.
Given P = 15 cm, solving 15 ÷ 3 = 5 cm.
Since it's a square garden, all sides are equal. To find the length of one side, take the square root of the area:
√2704 m² = 52 m
The numerical value typically refers to the absolute value, which is the value without the sign.
The answer is 19.
Given the total number of schools is 85:
Step 1: Calculate the number of schools completed.
Number of schools completed = 3/5 × 85
= 3 × 17
= 51
Given the area of the square garden is 529 m²:
Step 1: Find the length of one side of the square.
Area = side²
529 = side²
side = √529
side = 23 m
Step 2: Calculate the perimeter of the square.
Perimeter = 4 × side
= 4 × 23
= 92 m
The length of wire required to cover all its sides is equal to the perimeter.
Given:
Selling Price (SP) = Rs. 49755
Profit Percentage = 7%
Let Cost Price (CP) be x.
SP = CP + Profit
49755 = x + 7% of x
49755 = x + 0.07x
49755 = 1.07x
x = 49755/1.07
x = 46500
x - 1/x = 4
Square it:
x² - 2 1/x² = 16
Add 2:
x² + 1/x² = 18
When rotating a point (x, y) 270° clockwise, the new coordinates are (y, -x).
For P(2, -9), the new coordinates P' will be (-9, -2).