Sam is observing the velocity of a car at different times. After three hours, the velocity of the car is 51 km/h. After five hou
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If in a number plate two different alphabets need to be selected then there are 650 such number plates that can be formed in such a way that the alphabets come in increasing order.
Given that a number plate can be formed using 2 alphabets which must come in increasing order.
We are required to find the number of plates that can be formed.
Number of total alphabets=26.
The number of plates will be equal to the number of ways in which two alphabets can be arranged.
Combination is the number of ways in which some combinations can be formed. It is expressed as n=n!/r!(n-r)!
Number of license plates=26*25
=26*25
=650 plates
Hence If in a number plate two different alphabets need to be selected then there are 650 such number plates that can be formed in such a way that the alphabets come in increasing order.
Learn more about combinations at brainly.com/question/11732255
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For this case we have:
Question 1:
According to Heron's formula, the area of a triangle is given by:
Where a, b and c are the sides of the triangle and s is the semi-perimeter of the triangle given by:
Let:
We have s:
Substituting in the formula of the area:
Thus, the area of the triangle is
Answer:
Question 2:
The area of a traingule can be expressed as:
Where:
b: Base of the triangle
h: Triangle height
Let:
Substituting the values in the expression we have:
Thus, the area of the triangle is
Answer:
Question 3:
It is known that the area of a rectangle is given by:
Where:
l: It is the length of the rectangle
w: It is the width of the rectangle
So:
Substituting:
Thus, the area of Laura's carpet is given by
Answer:
Question 4:
We must take out the area of the outer wall, given by a rectangle, then:
Where:
l: It is the length of the rectangle
a: It is the height of the rectangle
We have:
Substituting in the formula we have:
Thus, the area of the exterior wall is given by:
So, a can of paint is not enough to cover the exterior wall.
Answer:
A can of paint is not enough to cover the exterior wall.
Question 5:
A regular hexagon is formed by 6 equal triangles. The area of the hexagon is given by:
Where the perimeter is given by the sum of the sides, that is:
And the apothem is the height of each of the triangles that make up the hexagon, that is:
Substituting in the formula:
Thus, the area of the hexagon is
Answer: