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ludmilkaskok [199]
4 years ago
10

What is the solution of |2x-5|<21

Mathematics
1 answer:
maxonik [38]4 years ago
8 0

Answer:

-8 < x < 13

Step-by-step explanation:

|2x-5|<21

The absolute value has 2 solutions, one positive and one negative.  When we take the negative solution, we have to flip the inequality.

2x-5 < 21      and      2x-5 > -21

Add 5 to each side

2x-5+5 < 21 +5            2x-5 +5 > -21+5

2x < 26                             2x > -16

Divide by 2

2x/2 <26/2                         2x>-16/2

x <13                   and                      x>-8

-8 < x < 13

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3 years ago
If BC= 48 cm and sin
erastovalidia [21]

Using relations in a right triangle, it is found that the length of AC is of 14 cm.

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Researching this problem on the internet, we have that:

  • The opposite leg to angle A is of 48 cm.
  • sin(A) = 0.96.

Hence the hypotenuse is found as follows:

sin(A) = 48/h

0.96 = 48/h

h = 48/0.96

h = 50 cm.

The length of side AC is the other leg of the triangle, found using the Pythagorean Theorem, hence:

x^2 + 48^2 = 50^2

x^2 = \sqrt{50^2 - 48^2}

x = 14 cm.

More can be learned about relations in a right triangle at brainly.com/question/26396675

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6 0
2 years ago
Factor : 49c^2 - 25d^6
Keith_Richards [23]
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The answer is: (7c + 5d^3)(7c - 5d^3).
7 0
4 years ago
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Answer:

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Step-by-step explanation:

the diagram shows two equal parts being the divided by two in the equations. The parts are worth 8 meaning if you divide 16 by 8 it is 2 because there are two parts.

4 0
4 years ago
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