Answer:
Answers are given below.
Step-by-step explanation:
a) one-to-one correspondence between the set of positiveintegers and that set.
Whenever we have one to one correspondence with positive integers, the set is countable and here infinite.
b) integers divisible by 5 and not 7
..This set is all integers divisible by 5 but not by 7. This is a discrete set and hence countable and infinite.
c) the real numbers with decimal representationsconsisting of all 1’s
-- This cannot be counted and hence uncountable but infinite.
d) the real numbers with decimal representationsconsisting of all 1’s or 9’s
-- This is also uncountable but infinite.
Answer:
6. yes they are congruent, they are exactly the same shape and size
7. no they are not congruent, they are different sizes
8. they are congruent, they have the same shape and size
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
First, simplify by subtracting 2x from 6x:
6x - 2x + 8 = 20
4x + 8 = 20
Then, solve for x:
4x + 8 = 20
4x = 12
x = 3
So, the answer is x = 3
The whole string was 2.4m. If you take 1/3 of 1/2x, you are just taking 1/6x. You know that what remains is 2m, and that it's the remaining 5/6. So you divide 2 by 5 and multiply that by six to get 2.4.
Answer:
99.96 square feet
Step-by-step explanation:
The formula for the area of a rhombus is (pq)/2, where p and q represent the two diagonals:
A=pq/2
=(16.8)(11.9)/2
=199.92/2
=99.96 square feet
