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SVEN [57.7K]
3 years ago
15

If the radius of a circle is 3 meters, how long is the arc subtended by an angle measuring 30°?

Mathematics
1 answer:
FromTheMoon [43]3 years ago
3 0
Circumference of entire circle = 2 * PI * radius
2 * PI * 3 = <span> <span> <span> 18.8</span></span></span>5 meters
a 30 degree arc is (30/360) or 1/12 of a circle.
So the arc equals (18.85 meters / 12) or <span> <span> <span> 1.57</span></span></span> meters.


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Find the values of the six trigonometric functions for angle θ.Give answers in simplest form.
natita [175]

Answer:

sin (theta) = \frac{\sqrt{15} }{8}

cos (theta) = \frac{7}{8}

tan (theta) = \frac{\sqrt{15} }{7}

cot (theta) = 7 square root 15/15

sec (theta) = \frac{8}{7}

csc (theta) = 8 square root 15/15

Step-by-step explanation:

7 0
3 years ago
Annika was having fun playing poker. She needed the next two cards dealt to be diamonds so she could make a flush (five cards of
salantis [7]

Answer: 10%

Step-by-step explanation:

given data:

no of cards left = 15.

no of diamonds left = 5.

probability of drawing a diamond = 5/15.

probability that the next two cards drawn to anika are diamonds without replacements.

= 5/15 * 4/14

= 2/21

= 0.0952 * 100

the probability that the two cards dealt to Anika would be diamond is 9.52% ~ 10%

6 0
3 years ago
A 2-pound bag costs 1.88 what is the unit rate?
fgiga [73]

Answer:

$0.94 per pound

Step-by-step explanation:

To find the unit rate, make an equation and simplify it.

<em>2 pounds = $1.88</em>

<em>1 pound = ($1.88 ÷ 2) $0.94</em>

Hence, It costs <em>$0.94 per pound</em>

3 0
3 years ago
The functions f(x)=−3/4x+2 1/4 and g(x)=(1/2)^x+1 are shown in the graph.
Svet_ta [14]
-3x/4 + 9/4 = (1/2)^x + 1
-3x/4 - 2^-x = -5/4

(Using log rules)

㏑|-3x/4| - ㏑|2^-x| = ㏑|-5/4|
㏑|3x/4| - x㏑|2| = ㏑|5/4|
e^㏑|3x/4| - e^㏑|2|x = e^㏑|5/4|
|3x/4| - 2x = 5/4
|3x| - 8x = 5
|3x-8x| = 5
|-5x| = 5
|5x| = 5
x=1, -1




3 0
3 years ago
Explain how to find the distance between two integers using the difference
jek_recluse [69]
When we want to find the distance between two integers using the difference, the best way is to plot them on number line. And then count distance between them. For example -3 and -1. But distance can not be negative.
5 0
3 years ago
Read 2 more answers
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