Answer:
Step-by-step explanation:
Things to remember:
1). When we divide a number having decimal by 10, 100, 1000 or any number multiple of ten, decimal point of the numerator shifts left by the number of zeros present in denominator.
Example: 
2). When we multiply a decimal number by 10, 100, or any number number multiple of 10, decimal point of the original number shifts right by number of zeros present in multiplier.
Example: 2.0 × 100 = 200
In this question, 0.014 × 100000 = 1400.000
Therefore, product of 0.014 and 100000 is 1400 because the decimal point in 0.014 moves 5 places to the right.
Answer:
A = 57.97 cm²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = 
h (a + b)
where h is the perpendicular height and a, b the parallel bases
Here h = 6.2, a = 10.8 and b = 7.9, thus
A = × 6.2 × (10.8 + 7.9) = 3.1 × 18.7 = 57.97 cm²
There are 14 chairs and 8 people to be seated. But among the 8. three will be seated together:
So 5 people and (3) could be considered as 6 entities:
Since the order matters, we have to use permutation:
¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆ x 3!
2,162,160 x 6 = 12,972,960 ways.
Another way to solve this problem is as follow:
5 + (3) people are considered (for the time being) as 6 entities:
The 1st has a choice among 14 ways
The 2nd has a choice among 13 ways
The 3rd has a choice among 12 ways
The 4th has a choice among 11 ways
The 5th has a choice among 10 ways
The 6th has a choice among 9ways
So far there are 14x13x12x11x10x9 = 2,162,160 ways
But the 3 (that formed one group) could seat among themselves in 3!
or 6 ways:
Total number of permutation = 2,162,160 x 6 = 12,972,960
Step-by-step explanation:
4x^2 - 20 = 5
4x^2 -25 = 0
4x^2 = 25
2x = 5, or -5
x = 5/2 , or -5/2
The number of sides is the same as the number of lines of symmetry and the order of rotational symmetry.
So, a regular decagon would have 10 lines of symmetry.
