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prohojiy [21]
3 years ago
12

A rectangle is placed around a semicircle as shown below. The length of the rectangle is 3 cm. Find the area if shaded region. U

se the value 3.14 for pie, And do not round your answer.
Mathematics
1 answer:
love history [14]3 years ago
8 0

Answer:

0.9675sq.cm

Step-by-step explanation:

Find a related diagram attached

Area of the shaded region = Area of rectangle - area of semicircle

Area of rectangle = 3cm * 1.5cm

Area of rectangle = 4.5sq.cm

Given

diameter of the semicircle = 3cm

area = πd²/8

Area of the semicircle = 3.14(3)²/8

Area of the semicircle = 3.5325sq.cm

Area of the shaded region = 4.5 - 3.5325

Area of the shaded region = 0.9675sq.cm

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Answer:

Company one charges $11 + $0.16 per min.

Then if you talk for x minutes, the cost will be:

C₁(x) = $11 + ($0.16 per min)*x

For company two, the prize is $20 + $0.11 per min, and if yo talk for x minutes, the cost will be:

C₂(x) = $20 + ($0.11 per min)*x

Now we want to find the value of x, the number of minutes, such that the cost is the same with both companies.

C₁(x) = C₂(x)

$11 + ($0.16 per min)*x = $20 + ($0.11 per min)*x

($0.16 per min)*x - ($0.11 per min)*x = $20 - $11

($0.05 per min)*x = $9

x = $9/($0.05 per min) = 180 mins

If you speak for 180 minutes, the cost is the same in both companies.

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3 years ago
if there are about 3.346x10^26 molecules of water in a liter of water and the ocean is about 1.26x10^21 liters in volume, how ma
Natalka [10]

Answer: 4.21596 x 10⁴⁷

<u>Step-by-step explanation:</u>

  (3.346 x 10²⁶) (1.26 x 10²¹)

= (3.346 x 1.26) x 10²⁶⁺²¹

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8 0
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yaroslaw [1]

Step-by-step explanation:

A) 45

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3 years ago
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Solve −3x=2x2−4<br> using the Quadratic Formula.
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Answer:

-3x= 2×2-4

Step-by-step explanation:

-3x= 4-4

-3x= 0

divide both sides by the co-efficient of x

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x = 0

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3 years ago
The step by step and final answer
Mumz [18]
32. (a) For an even function, f(x) = f(-x). Given f(5) = 3, we know f(-5) = 3.
Therefore (-5, 3) is also on the graph.

For an odd function, f(-x) = -f(x). Given f(5) = 3, we know f(-5) = -3.
Therefore (-5, -3) is also on the graph.

33. f(-x) = -f(x). The function is odd.
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