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vodka [1.7K]
4 years ago
12

Which of the following sets of possible side lengths forms a right triangle? 12, 35, and 38 11, 60, and 61 9, 40, and 45 6, 12,

and 13
Mathematics
1 answer:
antiseptic1488 [7]4 years ago
7 0
The possible sides of a rectangle triangle are:
 11, 60, and 61
 Let's check it using the Pythagorean theorem.
 We have then:
 ROOT ((a) ^ 2 + (b) ^ 2) = c
 Where,
 a = 11
 b = 60
 ROOT ((11) ^ 2 + (60) ^ 2) = 61
 Answer:
 
11, 60, and 61
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How many arrangements of three letter can be formed from the letters of the word MATH if anyletter will not be used more than on
Mariulka [41]

Combinations = n! / (n - r)! r!

C\text{ = }\frac{n!}{(n-r)!\text{ r!}}\text{ }

In this case:

n = 4

r = 3

Combinations = 4! /(4-3)! 3! = 24/(1)(6) = 24/6 = 4

Answer:

4 arrangements

7 0
1 year ago
Simplify (5x2 + x – 11) – (3x² + 4x – 17)
tatiyna

Answer:

2 x^2 - 3 x + 6

Step-by-step explanation:

Simplify the following:

-(3 x^2 + 4 x - 17) + 5 x^2 + x - 11

-(3 x^2 + 4 x - 17) = -3 x^2 - 4 x + 17:

-3 x^2 - 4 x + 17 + 5 x^2 + x - 11

Grouping like terms, 5 x^2 - 3 x^2 + x - 4 x - 11 + 17 = (5 x^2 - 3 x^2) + (x - 4 x) + (-11 + 17):

(5 x^2 - 3 x^2) + (x - 4 x) + (-11 + 17)

5 x^2 - 3 x^2 = 2 x^2:

2 x^2 + (x - 4 x) + (-11 + 17)

x - 4 x = -3 x:

2 x^2 + -3 x + (-11 + 17)

17 - 11 = 6:

Answer: 2 x^2 - 3 x + 6

3 0
3 years ago
Read 2 more answers
Anise wants to have longer hair than her sister. Her sister's hair is 2.25 feet long. How long does Anise's hair have to
rodikova [14]
The answer has to 2.26 because 2.26 is bigger than 2.25
3 0
3 years ago
Read 2 more answers
Round 18.57631 to three decimal places.
iVinArrow [24]

❄ Hi there,

let us revise the rounding rules and then, get down to rounding the number.

\sf{Rounding \ Rules:}

  • If the number you need to round is followed by a number from 0 to 4, you round down.
  • If the number you need to round is followed by a number that's 5 or more, you round up.

Now we can start the rounding process.

Reading the problem & the directions, we notice that we need to round to 3 decimal places (3 numbers after the decimal point).

Looking at the fourth number, we notice that it's less than 5.

∴ we need to round down ↡

↬\sf{18.57631 \ rounded \ to \ 3 \ DP \ = \bf{18.576}}

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

❄

3 0
2 years ago
3 more than w divided by 7 is 9
svlad2 [7]
3 + [_] ÷ 7 = 9

[_] ÷ 7 = 9 - 3

[_] = 6 x 7

[_] = 42

to check, just put 42 in the empty place and solve
5 0
3 years ago
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