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Brrunno [24]
3 years ago
11

Solve each inequality.

Mathematics
1 answer:
matrenka [14]3 years ago
5 0

3. -x + 2 < 3x - 6

=3x +x < 2 + 6

=4x < 8

=x > 8/4

=x > 2

4. 3v - 12 > 5v + 10

= 5v-3v > 10+12

=2v > 22

= v < 22/2

=v < 11

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Find the length of X in simplest radical form with a rational denominator
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Answer:

x = \sqrt 6

Step-by-step explanation:

Given

The attached triangle

Required

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Multiply equation II by 2 and then add up the equations.
8 0
3 years ago
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Can someone please help me with this problem?? **It's high-school geometry.
jeka94

Hello!

Answer:

\huge\boxed{59.04 units}

To solve, we will need to use Right-Triangle Trigonometry:

Begin by solving for angles ∠S and ∠R using tangent (tan = opp/adj)

tan ∠S = a / (1/2b)

tan ∠S = 3√5 / 14

tan ∠S ≈ 0.479

arctan 0.479  = m∠S (inverse)

m∠S and m∠R ≈ 25.6°

Use cosine to solve for the hypotenuse, or the missing side-length:

cos ∠S = 14 / x

x · cos (25.6) = 14

x  = 14 / cos(25.6)

x ≈ 15.52

Both triangles are congruent, so we can go ahead and find the perimeter of the figure:

RS + RQ + QS = 28 + 15.52 + 15.52 = 59.04 units.

Hope this helped you! :)

5 0
3 years ago
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