Answer:
Given: Radius of circle (r)=
π
7
Area of the circle =π(r)
2
=π×(
π
7
)
2
=π×
π
49
=49cm
Step-by-step explanation:
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Answer:
2
Step-by-step explanation:
It sounds like we are pretending A is the universe. The only numbers in our world are 1,2,3,4, and 5.
You are given B is all numbers greater than 2.
The complement of B would all the elements not listed in B.
The elements in B are 3,4, and 5, since we are looking for numbers greater than 2 in our world of numbers above.
The elements not in B are 1 and 2.
So B complement is {1,2}.
There are 2 elements in our set for B complement. The elements that were counted were just the element 1 and the element 2.
Answer:
The parallelogram is not rectangle because the sides of the parallelogram do not meet at right angles.
Step-by-step explanation:
Given the parallelogram with sides 20 and 21 units with diagonal length 28 units.
we have to tell it is a rectangle or not.
The given parallelogram is rectangle if the angle at vertices are of 90° i.e the two triangle formed must be right angles i.e it must satisfy Pythagoras theorem
=+
784=400+441=881
Not verified
∴ The sides of the parallelogram do not meet at right angles.
Hence, the parallelogram is not rectangle because the sides of the parallelogram do not meet at right angles.
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Answer:
The prizes can be awarded in 35904 ways.
Step-by-step explanation:
The order is important.
For example, John winning prize A, Laura prize B and Jonathan prize C is a different outcome than Laura winning prize A, John winning prize B and Jonathan winning prize C.
So we use the permutations formula to solve this problem:
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
In how many ways can the prizes be awarded?
Three prizes divided among 34 contestants. So
The prizes can be awarded in 35904 ways.