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prohojiy [21]
2 years ago
11

What is the area of the shaded region?

Mathematics
1 answer:
Jet001 [13]2 years ago
4 0

Answer:

area ≈ 30.5 cm²

Step-by-step explanation:

the shaded area (A) is calculated as

A = area of circle - area of rectangle

  = πr² - lb ( r is the radius of the circle )

given diameter = 10 cm then r = 10 cm ÷ 2 = 5 cm

A = (π × 5²) - (8 × 6)

   = 25π - 48

   ≈ 30.5 cm² ( to the nearest tenth )

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Which of the following is the equation of a line parallel to the line y = 3x + 2,
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Answer:

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Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 is in this form with slope m = 3

• Parallel lines have equal slopes, hence

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (10, 1) into the partial equation

1 = 30 + c ⇒ c = 1 - 30 = - 29

y = 3x - 29 ← in slope- intercept form

Subtract y from both sides

0 = 3x - y - 29 ( add 29 to both sides )

29 = 3x - y, thus

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Answer:

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The correct answer is <span>A) P'(3, −4), Q'(−3, 4), R'(6, −3)</span>

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These points are those in option A).
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