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Flura [38]
3 years ago
9

How many distinct triangles can be drawn by using three of the seven dots below? (Two triangles are considered different if they

don’t share the same three vertices.)

Mathematics
1 answer:
jeka57 [31]3 years ago
5 0

Answer:

35triangles

Step-by-step explanation:

Given

Total distinct points = 7

If we are to form triangles using the dots,

Total points in a triangle = 3

Using the combination rule;

number of triangles formed = 7C3

7C3 = 7!/(7-3)!3!

7C3 = 7!/4!3!

7C3 = 7*6*5*4!/4!3!

7C3 = 7*6*5/6

7C3 = 7*5

7C3 = 35

Hence the amount of triangles that can be formed is 35triangles

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HELP IMA GIVE BRAINLY AND A LIKE
kirill [66]

Answer: 18 animals

Step-by-step explanation:

3 out of 20 pet owners get their pet from a breeder.

To find how many animals have been bought from a breeder, you need to find 3/20 of the 122 animals.

3/20 = 0.15

122 * 0.15 = 18.3

18.3 rounds down to 18

There are 18 animals who have been bought from a breeder.

7 0
3 years ago
The diagonal of a square is 8 cm.
VladimirAG [237]

the length of the side of this square is 4\sqrt{2} \:or \:5.65cm

Answer:

Solutions Given:

let diagonal of square be AC: 8 cm

let each side be a.

As diagonal bisect square.

let it forms right angled triangle ABC .

Where diagonal AC is hypotenuse and a is their opposite side and base.

By using Pythagoras law

hypotenuse ²=opposite side²+base side²

8²=a²+a²

64=2a²

a²=\frac{64}{2}

a²=32

doing square root on both side

\sqrt{a²}=\sqrt{32}

a=±\sqrt{2*2*2*2*2}

a=±2*2\sqrt{2}

Since side of square is always positive so

a=4\sqrt{2} or 5.65 cm

6 0
2 years ago
Read 2 more answers
Maria can read 20 pages of economics in an hour. She can also read 50 pages of sociology in a hour. She...? Maria can read 20 pa
denis-greek [22]
B.) Marua will spend 2 hours to read 100 pages of sociology which means she can only read 60 pages of economics.
Therefore, the opportunity cost of reading 100 pages of sociology is forfeiting 40 pages (2 hours) of economics.
8 0
3 years ago
Write the number four million, two hundred thirty, seven thousand, three hundred and four hundredths
Anit [1.1K]

There are no tens, ones, or tenths.

4,237,300.04

6 0
3 years ago
Bill found a book he wanted on sale for $20.80. The original price of the book was $32. Find the discount rate.
Maurinko [17]

Answer:

35% discount

Step-by-step explanation:

We can first find what percent of 32 20.80 is.

This can be shown by using a percent proportion.

\frac{20.80}{32} = \frac{x}{100}

We can cross multiply to find the value of x.

20.80\cdot100=2080\\\\2080\div 32 = 65

So 20.80 is 65% of 32.

However, this is the percent of the original price. To find the discount, we have to subtract 65 from 100.

100 - 65 = 35

So the book was on a 35% discount.

Hope this helped!

3 0
3 years ago
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