Explanation

1 meter = 100 centimeters.

1 centimeter = 10 millimeters.

Therefore, 1 meter = 100 × 10 = 1000 millimeters.

Explanation

Let's calculate the percentage of girls:

Given ratio: Boys:Girls = 5:3

Total parts = 5 + 3 = 8

Percentage of girls = (3/8) * 100

= 37.5%

Explanation

First, find the weight of one book:

88 kg ÷ 40 books = 2.2 kg per book.

Then, multiply by 6 books:

2.2 kg × 6 = 13.2 kg.

So, the weight of 6 books is 13.2 kg.

Explanation

Dividing 3.12 by 2.6 gives:

3.12 ÷ 2.6 = 1.2.

Explanation

An angle in a segment less than a semicircle is always less than a right angle.

A right angle is exactly 90°, but angles in smaller segments are always smaller than 90°.

Explanation

The cube of 15 is: 15 × 15 × 15 = 3375

So, the cube root of 3375 is 15.

Explanation

In the term x², the coefficient is the number multiplying the variable.

Since nothing is written explicitly, the coefficient is understood to be 1.

Explanation

Let's simplify the expression:

5√3 + √12

First, simplify √12:

√12 = √(4 × 3) = √4 × √3 = 2√3

Now add:

5√3 + 2√3 = 7√3

Explanation

The transitive property states that if a = b and b = c, then a = c.

Explanation

A rectangular array of real numbers, or any numbers, enclosed in square brackets is called a matrix.

Matrices are widely used in mathematics, especially in linear algebra, for various operations such as addition, multiplication, and finding determinants.