To be divisible by 3, 5, and 8, the number must be divisible by their least common multiple (LCM).
LCM of 3, 5, and 8 = 120
A cube has 8 vertices (corners).
It also has 6 faces and 12 edges.
The first five prime numbers are 2, 3, 5, 7, and 11.
These numbers are divisible only by 1 and themselves, and they form the correct sequence of the first 5 prime numbers.
Let's denote the angle as x. The supplement of x is 180 - x.
Given "three is subtracted from twice the supplement" equals 297:
2(180 - x) - 3 = 297
Expanding the equation:
360 - 2x - 3 = 297
357 - 2x = 297
Solving for x:
-2x = 297 - 357
-2x = -60
x = 30
Range = Largest value - Smallest value
It measures how spread out the data is.
It helps identify variability in a data set by showing the gap between extremes.
To find the angle for the remaining subjects on the pie chart:
Percentage for remaining subjects = 30%
Since a circle is 360° and represents 100%,
Angle for remaining subjects = (30/100) * 360°
= 0.3 * 360°
= 108°
An arc is a part or portion of the circumference of a circle.
It represents a curved line between two points on the circle's boundary.
Formula: Total amount = Average × Number of students
Calculation: 20 × 30 = 600
So, the total pocket money of the class is Rs. 600.
To evaluate ∛512:
Find the cube root of 512:
∛512 = ∛(8 × 8 × 8)
= 8
The symbol "≤" represents "less than or equal to".