Explanation

The square root of 256 is 16, which has 2 digits.

Counting the digits in 16 confirms that the answer is 2.

Explanation

Given y ∝ 1/x², we can write:

y = k/x²

Step 1: Find k

When y = 4 and x = 3:

4 = k/3²

k = 4 × 9

k = 36

Step 2: Find x when y = 9

9 = 36/x²

x² = 36/9

x² = 4

x = 2

Explanation

The formula for the perimeter of an equilateral triangle is P = 3 × side.

Given P = 15 cm, solving 15 ÷ 3 = 5 cm.

Explanation

To solve this problem, find the rate at which the men weave cloth:

15 men weave 120 meters in a day

Rate = 120 meters / 15 men = 8 meters per man per day

Now, find the total cloth woven by 35 men:

35 men × 8 meters per man per day = 280 meters

Explanation

Supplementary angles add up to 180°, so set up an equation:

(3x + 5) + (9x - 5) = 180°

Combine like terms:

12x = 180°

Divide both sides by 12:

x = 15°

Explanation

Explanation

The equation |-x| = 0 simplifies to x = 0 since the absolute value of any number is zero only when the number itself is zero.

Therefore, the solution set contains only {0}.

Explanation

Explanation

x: -3 < x < 6

This represents all numbers greater than -3 and less than 6.

Explanation

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