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vova2212 [387]
3 years ago
13

Arc AB is One-sixth of the circumference of a circle. What is the radian measure of the central angle?

Mathematics
1 answer:
lawyer [7]3 years ago
5 0

Answer:

1/3 π

Step-by-step explanation:

θ (radian measure of central angle) = s (length of subtend arc) / r (radius)

θ = (1/6 x 2πr) / r = 1/3 πr / r = 1/3 π

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31

Step-by-step explanation:

$23.25 divided by $0.75 is 31.

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Mice21 [21]
<h2>19.</h2><h3>Given</h3>
  • window width and height are in proportion to building width and height
  • window width and height are 11 in and 18 in, respectively
  • building height is 108 ft
<h3>Find</h3>
  • building width
<h3>Solution</h3>

The proportional relation can be written as

... (building width)/(building height) = (window width)/(window height)

Multiplying by (building height) gives

... (building width) = (building heigh) × (window width)/(window height)

... (building width) = 108 ft × (11 in)/(18 in)

... building width = 66 ft

<h2>21.</h2><h3>Given</h3>
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  • map scale = 1.5 in : 5 mi
<h3>Find</h3>
  • actual distance
<h3>Solution</h3>

The distances are in proportion, so

... (map distance) : (actual distance) = 1.5 in : 5 mi

Multiplying by (5 mi)/(1.5 in)×(actual distance), we have

... (5 mi)/(1.5 in)×(6.75 in) = (actual distance) = 22.5 mi

6 0
4 years ago
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seraphim [82]
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Which give you the answer of 151.58
6 0
3 years ago
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