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3 years ago

Find each missing term. p:4 = 9:12 Explain step by step

Mathematics

1 answer:

erastova [34]3 years ago

6 0

Answer:

p=3

Step-by-step explanation:

p:4=9:12

We can rewrite this to p/4=9/12. This simplifies to 1/4p=3/4. We can multiply both sides of the equation by 4. Then we get p=3.

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spin [16.1K]

Answer:

1cm = 320 km?

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

10) Show that in a group of 10 people (where any two people are either friends or enemies), there are either three mutual friend

ddd [48]

Answer with explanation:

Number of People in the group =10 People

The combination between two people is that, they can be either friends or enemies.

Total number of Possible Relation

=18 +16+14+12+10+8+6+4+2

= 90 Relations in all.

Out of 90 relations , 45 will be friends and 45 will be enemies.

⇒Now, we have to prove that, between 10 people, there are either three mutual friends or four mutual enemies, and there are either three mutual enemies or four mutual friends.

→→If there are three mutual friends, total number of people in the group =3 ×2=6 people in the group

And, four mutual enemies in a group means there are 2 people in each group.

So, total number of people if we combine the two groups in which there are either three mutual friends or four mutual enemies

=6 +4

=10

Hence proved.

→→→→Second part is ,in this group there can be either three mutual enemies or four mutual friends.

⇒If there are three mutual enemies, total number of people in the group =3 ×2=6 people in the group

And, four mutual friends in a group means there are 2 people in each group.

So, total number of people if we combine the two groups in which there are either three mutual enemies or four mutual enemies

=6 +4

=10

Hence proved.

3 0

3 years ago

U is the set of colleges in a country. A is the set of colleges that have a hockey team. B is the set of colleges that have a ph

mojhsa [17]

Answer: C

Step-by-step explanation: If B is the set of colleges that have a physics department.

B’ is the set of colleges that do not have a physics department.

U is the union, so we are going to put every element from A and B' together. It can be translated as OR.

A U B’ is the set of elements in a country that have a hockey team (A) or do not have a physics department (B’) .

8 0

3 years ago

A right triangle has side lengths 7, 24, and 25 as shown below.

Hoochie [10]

Answer: Tan B = 0.2917 (16.26 degrees)

Sin B = 0.2800 (16.26 degrees)

Cos B = 0.9600 (16.26 degrees)

Step-by-step explanation: Please refer to the picture attached for details.

The right angled triangle LNB has been drawn with the sides labeled as 7, 24 and 25 as indicated. With angle B as the reference angle, we can now identify each side as follows;

Side 7 (opposite, facing the reference angle)

Side 24 (adjacent, between the reference angle and the right angle)

Side 25 (hypotenuse, facing the right angle).

Hence, using the trigonometric ratios,

Tan B = opposite/adjacent

Tan B = 7/24

Tan B = 0.2917 (16.26 degrees)

Sin B = opposite/hypotenuse

Sin B = 7/25

Sin B = 0.2800 (16.26 degrees)

Cos B = adjacent/hypotenuse

Cos B = 24/25

Cos B = 0.9600 (16.26 degrees)

3 0

3 years ago

Which of the following properties is represented by (ab)c = a(bc)?

DochEvi [55]

Answer:

Associative Property of Multiplication

Step-by-step explanation:

We are given three numbers-a,b,c.

We are given the property (ab)c = a(bc)

This implies that on the left hand side we first multiply a and b and then multiply the result by c. On the right side of the equation, we first multiply b and c and multiply a with the product of b and c.

As per the given property, the result in both the cases is the same.

This signifies the associative property of multiplication where the result is independent of the order of operation.

3 0

3 years ago