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3 years ago

The sets of numbers 3, 4, 5 and 5, 12, 13 are examples

Mathematics

2 answers:

Wewaii [24]3 years ago

8 0

Answer:

8, 15, 17 — yes
15, 20, 25 — yes
20, 48, 52 — yes
2, 9, 11 — no
39, 80, 89 — yes

Step-by-step explanation:

The squares of the three numbers in each of the given triples are listed. When the sum of the first two numbers is equal to the third, the set of numbers in the triple is a Pythagorean triple.

{64, 225, 289}, yes

{225, 400, 625}, yes — a 3,4,5 triple multiplied by 5

{400, 2304, 2704}, yes — a 5,12,13 triple multiplied by 4

{4, 81, 121}, no*

{1521, 6400, 7921}, yes.

___

* the smallest set of integers that is a Pythagorean triple is {3, 4, 5}. The number 2 in this group tells you this cannot be a PT.

7nadin3 [17]3 years ago

5 0

Answer:

15 20 25 yes

Step-by-step explanation:

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2. Find the equation of the perpendicular bisector of line PQ where the co-ordinates of P and Q are P (-2, 8) and Q (4,7)

Novosadov [1.4K]

Answer:

2y - 12x = 3

Step-by-step explanation:

gradient of line PQ= (7-8)/ 4+2

-1/6

gradient of perpendicular bisector of line PQ=

-1 ÷ -1/6

-1× -6

coordinates of the midpoint of line PQ

(-2+4)/2, (8+7)/2

(1, 15/2)

the perpendicular bisector passes through the midpoint of line PQ

Equation of the perpendicular bisector

y - 15/2 = 6(x - 1)

multiply through by 2

2y - 15 = 12(x - 1)

2y - 15 = 12x - 12

2y - 12x = 3

8 0

3 years ago

25% of Mr. Foster's class chose an amber background for their school picture. If 6 students chose an amber background, how many

Lelu [443]

Answer:

<h2>24 students</h2>

Step-by-step explanation:

25% of a hundred is one-fourth and because there are six students in a fourth of the whole we are multiplying four and six. 6x 4 is 24.

5 0

3 years ago

What is the length of the altitude of the equilateral triangle below?

Mice21 [21]

B. 3 √3

The shortcuts for a 30 60 90 triangle is that the:

Hypotenuse is 2 times the short leg

The long leg is √3 times the short leg.

Making it 3 √3

Another way is by the Pythagorean Theorem.

a^2+b^2=c^2

3^2+b^2=6^2

9+b^2=36

Subtract 9 from both sides

b^2=27

Square root both sides

b=5.2 or the √27

√27 can be simplified more

An equation that equals to 27 that has a perfect square is 9*3

√9* √3

The perfect square of 9 equals to 3

So 3 √3

4 0

3 years ago

Eric's class consists of 12 males and 16 females. If 3 students are selected at random, find the probability that they

Reptile [31]

Answer:

The probability that all are male of choosing '3' students

P(E) = 0.067 = 6.71%

Step-by-step explanation:

Let 'M' be the event of selecting males n(M) = 12

Number of ways of choosing 3 students From all males and females

$n(M) = 28C_{3} = \frac{28!}{(28-3)!3!} =\frac{28 X 27 X 26}{3 X 2 X 1 } = 3,276$