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Snowcat [4.5K]
3 years ago
6

the diagram shows a circle inside a square ABCDB AB = 20 cm. the radius of the circle is 9 cm. work out the area of the shaded r

egion

Mathematics
1 answer:
OlgaM077 [116]3 years ago
5 0

Step-by-step explanation:

Area of the square = a²

= 20²

= 400cm²

Area of the circle = πr²

= 22/7 × 9²

= 22/7 × 81

= 254.57cm²

Area of the shaded region = Area of the square - Area of the circle

= 400cm² - 254.57cm²

= 145.43cm²

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A sea lion jumped out of the water to a height of 3 feet above sea level. The number line shows the location of the sea lion at
Gelneren [198K]

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Step-by-step explanation:

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3 years ago
Find the vertical asymptote(s) of f of x equals quantity 4 x squared plus 3x plus 6 end quantity over quantity x squared minus 3
siniylev [52]

The vertical asympototes of f(x) are  at x = -6 and x = 6

Step-by-step explanation:

To find the vertical asymptote(s) of a rational function,

  • Equate the denominator by 0
  • Solve it for x
  • If x = a, then the vertical asymptote is at x = a

∵ f(x)=\frac{4x^{2}+3x+6}{x^{2}-36}

- Equate the denominator x² - 36 by 0

∵ x² - 36 = 0

- Add 36 to both sides

∴ x² = 36

- Take √ for both sides

∴ x = ± 6

∴ There are vertical asymptotes at x = -6 and x = 6

The vertical asympototes of f(x) are  at x = -6 and x = 6

Learn more:

You can learn more about the asymptotes in brainly.com/question/6459599

#LearnwithBrainly

4 0
3 years ago
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VikaD [51]

Answer: The number of the adult tickets is 168

Step-by-step explanation: * Lets explain how to solve the problem

- The adults ticket costs $10.50

- The students ticket costs $3.75

- The total money of the opening night is $2071.50

- The equation of the total money earned in the opening night is:

10.50 a + 3.75 b = 2071.50, where a is the number of the adult ticket

 and b is the number of the student ticket

- There were 82 students attended

* Lets solve the problem

∵ 10.50 a + 3.75 b = 2071.50

∵ The number of the students attended is 82

∵ b is the number of the students

∴ b = 82

- Substitute the value of b in the equation

∴ 10.50 a + 3.75(82) = 2071.50

∴ 10.50 a + 307.5 = 2071.50

- Subtract 307.5 from both sides

∴ 10.50 a = 1764

- Divide both sides by 10.50

∴ a = 168

∵ a is the number of the adult tickets

∴ The number of the adult tickets is 168

Give credit to ashraf 82

8 0
3 years ago
A figure is translated and then rotated about the origin. Which of the following is
coldgirl [10]

Answer:

C) The figures are congruent.

Step-by-step explanation:

Given

Translation and rotation on a figure

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Rotation and translation are rigid transformation and as such they do not change the size of the figure being transformed.

The implies that, the figure being transformed and the resulting figure will have the same dimension and the same angle measure.

<em>(c) is correct</em>

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