The numbers from which we are to determine the smallest number that can be divided leaving a remainder of 5 are 44, 55, and 220. We have to do the prime factorization of all the numbers to determine their least common multiple (LCM).
Factorization of 44:
44 = 11 x 4 = 11 x 2 x 2
Factorization of 55:
55 = 11 x 5
Factorization of 220:
220 = 11 x 20 = 11 x 5 x 4
Since 220 has all the factors from 55 and 44 then, the least common multiple is 220. Add 5 to the LCM in order to determine the unknown.
<em>ANSWER: 225</em>
The question involved the concept of combination because the order of the friends being picked are not considered. There are a total of 8 friends and 5 out of them are picked.
8C5 = 56
Therefore, there are 56 ways.
Answer:
34 square units
Step-by-step explanation:
The figure can be considered to be a trapezoid with a rectangle removed.
The area of the trapezoid is ...
A = (1/2)(b1 +b2)h
A = (1/2)(10 +6)(5) = 40
The area of the rectangle is ...
A = LW
A = (3)(2) = 6
Then the area of the shaded portion of the figure is ...
shaded area = trapezoid area - rectangle area
= 40 - 6 = 34 . . . square units
Given :
- Area of square equals to the area of rectangle of sides 4.9m and 1.6m .
To find :-
Solution :-
<u>As </u><u>we</u><u> know</u><u> </u><u>,</u>
- Area = side²
- 4.9 * 1.6 = a²
- a = √ 49/10 * 16/10
- a = 7/10 * 4/10
- a = 28/100
- a = 0.28 m
