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Juliette [100K]
3 years ago
14

Use a Pythagorean Triple to find x.

Mathematics
2 answers:
olga55 [171]3 years ago
6 0

Answer:

x = 51

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

x² = 45² + 24² = 2025 + 576 = 2601 ( take the square root of both sides )

x = \sqrt{2601} = 51

Artyom0805 [142]3 years ago
3 0

Answer:

x = 51.

Step-by-step explanation:

The triple you require is 17-15-8

We have x-45-24

- that is three times each number in the triple.

So x = 3*17 = 51.

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If a = 2 cm and r = 3.4 cm, find the area of the regular pentagon.
cricket20 [7]

Answer:

Area = 3.4\ cm^{2}

Step-by-step explanation:

Assume a pentagon has equal length where a be the side of the pentagon and r be the apothem of the pentagon.

Given:

Sides of pentagon a=2\ cm

apothem of pentagon r=3.4\ cm

The area of the pentagon formula is given below.

A = \frac{1}{2}\times bh

Where b = length of the base or side

And h = height of apothem

Now, we substitute side and apothem length in above formula.

A = \frac{1}{2}\times 2\times 3.4

A = 3.4\ cm^{2}

Therefore, the area of the pentagon is 3.4\ cm^{2}

3 0
3 years ago
Plz plz plz help ill give brainly
Semmy [17]

Answer:

Width is 3

Step-by-step explanation:

_____________

/ / |

/ ______________/ |

2.5| | |

f | | |

e | | |

e | | |

t | | |

| | /

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|______________|/ 3 feet

4 feet

5 0
3 years ago
So this should be one of the last few ones
sergeinik [125]

Answer:

A

Step-by-step explanation:

Because you have to use the Pythagorean theorem to solve for this.

8 0
3 years ago
Please Help 50 points!!
REY [17]

Answer:

lol sorry for answer what's that

7 0
3 years ago
A tourist in Ireland wants to visit six different cities. How many different routes are possible?
hammer [34]

Answer:

6P6 = \frac{6!}{(6-6)!}=\frac{6!}{0!}= 6! =6*5*4*3*2*1=720

D. 720

Step-by-step explanation:

For this case we have 6 different cities that needs to be ordered in different ways. And the best way to solve this problem is using permutations since we can't repeat the route.

We need to remember the concept of permutation.

A permutation, known as "arrangement number"  "is a rearrangement of the elements of an ordered list S into a one-to-one correspondence with S itself". Where S correspond to the sample space. And the formula is given by:

nPX = \frac{n!}{(n-x)!}

And for this case we have a total of 6 cities and we want to know how many routes with these 6 cities we can create, so then n=6 and k=6 and if we replace we got:

6P6 = \frac{6!}{(6-6)!}=\frac{6!}{0!}= 6! =6*5*4*3*2*1=720

And then we have 720 ways to visit six different cities. So the best option is:

D. 720

7 0
3 years ago
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