A square pyramid has a square base and four triangular faces.
So, it has a total of 5 surfaces: 1 square + 4 triangular.
Pythagoras Theorem:
It states that in a right-angled triangle:
c = √(a² + b²)
where c is the hypotenuse, and a and b are the other two sides.
This formula helps calculate the length of the hypotenuse.
A cuboid has 8 vertices, where three edges meet at each corner.
It also has 6 faces and 12 edges, forming a 3D rectangular box shape.
The prefix "kilo-" in the metric system means 1000 times the base unit.
For example, 1 kilometer = 1000 meters, and 1 kilogram = 1000 grams.
A function is concave down on an interval if its second derivative is negative over that interval.
Graphically, this means the curve bends downward like an upside-down bowl.
Step 1: Calculate the value of √0.0121
√0.0121 = √121 × 10^-4 = 11 × 10^-2= 0.11
Step 2: Calculate the value of (0.1)²
(0.1)^2 = 0.01
Step 3: Compare the values
√0.0121 = 0.11
0.12
The largest value is 0.12.
Given f(x) = 6x/(3x - 2)
The denominator cannot be zero:
3x - 2 ≠ 0
3x ≠ 2
x ≠ 2/3
So, the domain of f(x) is all real numbers except x = 2/3.
The answer is R - {2/3}.
Given a ≠ 0, b ≠ 0, and ab = 0:
In this case, a and b are called Zero divisors.
The function y = x + 100 is in the slope-intercept form y = mx + c, where:
m = 1 (slope)
c = 100 (y-intercept)
This confirms that the graph of the function is a straight line.
The associative property w.r.t addition states that the order in which we add numbers does not change the result.
The correct equation is:
1 + (4 + 3) = (1 + 4) + 3
This equation represents the associative property of addition.