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Slav-nsk [51]
3 years ago
15

Write an absolute value inequality to represent each situation:

Mathematics
1 answer:
larisa [96]3 years ago
4 0

Answer:

|t - 350| ≤5

Step-by-step explanation:

t be the actual temperature

We want to be within 5 degrees of  350  ( that includes 5 degrees)

|t - 350| ≤5

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Equilateral triangle ABC has an area of \sqrt{3}√ ​3 ​ ​​ . If the shaded region has an area of \piπK − \sqrt{3}√ ​3 ​ ​​ , what
Liono4ka [1.6K]

Answer:

The value of k = 4/3

Step-by-step explanation:

* Lets explain how to solve the problem

- An equilateral triangle ABC is inscribed in a circle N

- The area of the triangle is √3

- The shaded area is the difference between the area of the circle

  and the area of the equilateral triangle ABC

- The shaded are = k π - √3

- We need to find the value of k

* <u><em>At first lets find the length of the side of the Δ ABC</em></u>

∵ Δ ABC is an equilateral triangle

∴ Its area = √3/4 s² , where s is the length of its sides

∵ The area of the triangle = √3

∴ √3/4 s² = √3

- divide both sides by √3

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- Multiply both sides by 4

∴ s² = 4 ⇒ take √ for both sides

∴ s = 2

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* <u><em>Now lets find the radius of the circle</em></u>

- In the triangle whose vertices are A , B and N the center of the circle

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∵ The sides of the equilateral angles divides the circle into 3 equal

   arcs in measure where each arc has measure 360°/3 = 120°

∵ The measure of the central angle in a circle equal the measure

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∵ ∠ANB is an central angle subtended by arc AB

∵ The measure of arc AB is 120°

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∴ 4=r^{2}+r^{2}-(-r^{2})

∴ 4=r^{2}+r^{2}+r^{2}

∴ 4=3r^{2}

- Divide both sides by 3

∴ r^{2}=\frac{4}{3}

- Take square root for both sides

∴ r = 2/√3

* <u><em>Lets find the value of k</em></u>

∵ Area circle = πr²

∵ r = 2/√3

∴ Area circle = π(2/√3)² = (4/3)π

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∵ Area triangle = √3

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∵ Area of the shaded part is π k - √3

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∴ π k - √3 = (4/3) π - √3

∴ k = 4/3

* The value of k = 4/3

7 0
3 years ago
(05.05 HC) Figure ABCD has vertices A(-3, 2), B(2, 2), C(2, -4), and D(-3, -2). What is the area of Figure ABCD?​
irga5000 [103]

Answer:

I don't know how to answer this, sorry!

Step-by-step explanation:

.

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The table below shows the outputs y for different inputs x:
igor_vitrenko [27]
Part A)
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Why? <span>One reason is that 1 or 3 is the first element in more than one ordered pair.
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f(x) = 10x + 20
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3 0
3 years ago
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