Explanation

• The formula for the perimeter of a rectangle is 2(length + width).
• A rectangle has two equal lengths and two equal widths.
• Therefore, perimeter = length + width + length + width.
• Simplified formula: P = 2(l + w).

Last verified on 14-08-2026

Explanation

The volume of the cubic room is 2744 m³. To find the length, we need to find the cube root of 2744.

Cube root of 2744 = 14

So, the length of the room is 14 m.

Last verified on 26-07-2026

Explanation

To convert 45 to binary:

45 ÷ 2 = 22 remainder 1

22 ÷ 2 = 11 remainder 0

11 ÷ 2 = 5 remainder 1

5 ÷ 2 = 2 remainder 1

2 ÷ 2 = 1 remainder 0

1 ÷ 2 = 0 remainder 1

Reading remainders from bottom to top: 101101

Therefore, 45 in binary = 101101.

Last verified on 18-07-2026

Explanation

The additive inverse of a number is the value that, when added to the original number, results in zero.

For 1/7, the additive inverse is:

-1/7

Since:

1/7 + (-1/7) = 0

Last verified on 09-07-2026

Explanation

• The symbol "√" represents the square root.
• It is called a radical.
• It is used in mathematics to indicate the root of a number.

Last verified on 09-07-2026

Explanation

The sum of the first 10 natural numbers is:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55

Average = 55/10 = 5.5

OR

Formula for natural number= n(n+1)/2

n=10

Now

10(10+1)/2

10(11)/2

5(11)

55

Last verified on 15-02-2026

Explanation

Let's calculate the final selling price after two successive discounts of 10% and 5% on the marked price of Rs. 2000.

Step 1:

First discount = 10% of 2000 = 0.10 × 2000 = Rs. 200

Price after first discount = 2000 - 200 = Rs. 1800

Step 2:

Second discount = 5% of 1800 = 0.05 × 1800 = Rs. 90

Price after second discount = 1800 - 90 = Rs. 1710

Final selling price = Rs. 1710

Last verified on 09-05-2026

Explanation

Step 1: Let the numbers be

$$8x\text{ and }3x$$

Step 2: Use the difference

8x−3x=20
$$5x=20\Rightarrow x=4$$

Step 3: Find the numbers

$$8x=32,$$

$$3x=12$$

$$Last\; updated\; by\; NA\; on\; 24-April-2026$$

Explanation

Let's solve step by step using BODMAS rule:

2 × 2 + 2 ÷ 2

= 4 + 1

= 5

Last verified on 01-04-2026

Explanation

• Pythagoras was an ancient Greek mathematician and philosopher.
• He is famous for the Pythagorean Theorem, which relates to right-angled triangles.

Last verified on 01-04-2026