All categories

3 years ago

In a race in which five automobiles are entered and tehre are no ties, in how many ways can the first three finishers come in/

Mathematics

2 answers:

Liula [17]3 years ago

7 0

Answer: The required number of ways is 60.

Step-by-step explanation: Given that there are five automobiles entered in a race and there are no ties.

We are to find the number of ways in which the first three finishers come in.

Since there are 5 automobiles entered in the race, so the number of ways in which first finisher come in is 5.

Now, there are no ties, so the number of ways in which second and third finisher come in are 4 and 3 respectively.

Therefore, the total number of ways in which the first three finishers come in is

$n=5\times4\times3=60.$

Thus, the required number of ways is 60.

gulaghasi [49]3 years ago

6 0

there are 5 ways for 1st place, then there would be 4 ways for 2nd place, then 3 ways for third

5*4*3 = 60 different ways

You might be interested in

Use the diagram below to match the ratios below. B a A b sin B COS B tan B tan A COS A sin A

Paha777 [63]

Answer:

See explanation

Step-by-step explanation:

Given

The attached triangle

Required

Complete the ratios

(a) sin B

$\sin(B)$ is calculated as:

$\sin(B) = \frac{Opposite}{Hypotenuse}$

$\sin(B) = \frac{b}{c}$

(b) cos B

$\cos(B)$ is calculated as:

$\cos(B) = \frac{Adjacent}{Hypotenuse}$

$\cos(B) = \frac{a}{c}$

$\tan(B)$ is calculated as:

$\tan(B) = \frac{Opposite}{Adjacent}$

$\tan(B) = \frac{b}{a}$

(d) tan A

$\tan(A)$ is calculated as:

$\tan(A)= \frac{Opposite}{Adjacent}$

$\tan(A) = \frac{a}{b}$

(e) cos A

$\cos(A)$ is calculated as:

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

$\cos(A) = \frac{b}{c}$

(f) sin A

$\ain(B)$ is calculated as:

$\sin(B) = \frac{Opposite}{Adjacent}$

$\sin(B) = \frac{a}{c}$

8 0

3 years ago

Which undefined term can contain parallel lines?

vagabundo [1.1K]

Coplanar planes and point lines

6 0

3 years ago

Read 2 more answers

Robin is twice as old as Earl, and in 6 years he will be three times as old as Adam, who is 8 years younger than Earl. Find thei

valkas [14]

Answer:

Since, Robin is twice as old as Earl,

Thus, the ratio of the age of robin and earl = 2 : 3

Let the age of robin = 2x and the age of earl = 3x

Where x is any number,

According to the question,

3×Age of Adam = 2x + 6

Age of Adam = 1/3(2x+6)

Also, Age of Adam = Age of earl - 8

⇒ 1/3(2x+6) = 3x - 8

⇒ 2x + 6 = 9x - 24

⇒ -7x = - 30

⇒ x = 30/7

Hence, the age of Robin = 2x = 2×30/7 = 60/7 years

The age of Earl = 3x = 3×30/7=90/7 years

The age of Adam = 34/7 years

7 0

3 years ago

(True or False) The table below is a function.

Svetach [21]

Answer:

False

Step-by-step explanation:

7 0

3 years ago

What is the approximate side length of each square

alexandr1967 [171]

Answer: $9\ units$

Step-by-step explanation:

You need to use the following formula for calculate the area of a square:

$A=s^2$

Where "s" is the lenght of any side of the square.

You know that the area of a mural is $81\ units^2$ . Then, you can substitute this area into the formula and solve for "s", in order to find the side lenght of the mural.

Therefore, this is:

$81\ units^2=s^2\\\\s=\sqrt{(81\ units^2)}\\\\s=9\ units$

8 0

3 years ago