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GrogVix [38]
3 years ago
7

For the following right triangle, find the side length of x. round your answer to the nearest hundredth.

Mathematics
1 answer:
tatyana61 [14]3 years ago
6 0

Answer:

14.87 units

Step-by-step explanation:

The sides of all right triangles share the same relationship known as the Pythagorean Theorem a² + b² = c². Substitute the lengths of the triangle into the theorem and solve for the unknown side. Since the problem does have an attached a picture, assume that a = 10, b = 11, and c = x.

10² + 11² = x²

100 + 121 = 221²

221 = x²

√221 = √x²

14.87 = x

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The solution set of 14x - 71 = 9 is
const2013 [10]

Answer:

40/7

Step-by-step explanation:

14x - 71 = 9

14x=80

x=80/14

x=40/7

7 0
3 years ago
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CAN SOMEONE PLS TELL ME DOMAIN AND RANGE
lorasvet [3.4K]

Answers:

  • Domain is (-4, 3]
  • Range is (-5, 5]

=====================================================

Explanation:

The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that -4 < x \le 3. It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).

The interval -4 < x \le 3 then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.

It says: x is between -4 and 3. It can't equal -4 but it can equal 3.

So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.

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

The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.

The range as a compound inequality is -5 < y \le 5. This condenses into the shorthand of (-5, 5] which is the range in interval notation.

Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.

5 0
3 years ago
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. Express 0.48 as a fraction in its simplest form. Show all steps.
LenKa [72]

Answer:

12/25

Step-by-step explanation:

0.48

=48/100

= 24/50

=12/25

8 0
3 years ago
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A radio disc jockey has 8 songs on this upcoming hour's playlist: 2 are rock songs, 2 are reggae songs, and 4 are country songs.
JulsSmile [24]
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Probability of one after the other is 1/4 × 1/4 = 1/16
4 0
3 years ago
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kogti [31]

Answer:

The option A) -4-3i is correct

Therefore the simplified given expression is (-1-6i)+(-3+3i)=-4-3i

Step-by-step explanation:

Given that the expression is (-1-6i)+(-3+3i)

To simplify the given expression as below :

(-1-6i)+(-3+3i)=-1-6i-3+3i

=(-1-3)+(-6i+3i) ( combining the real parts and imaginary parts separately and adding the like terms )

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(-1-6i)+(-3+3i)=-4-3i

Therefore the simplified given expression is (-1-6i)+(-3+3i)=-4-3i

Therefore the option A) -4-3i is correct

6 0
3 years ago
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