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zaharov [31]
3 years ago
12

Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the arc length given the ci

rcle area A = 16π cm2 and Θ = π 3 .
Mathematics
2 answers:
nadezda [96]3 years ago
7 0
Answer: The length of the arc is: L=4π/3 cm

Length of arc: L=?
<span>
L=r Θ
</span>
Central angle: Θ=<span>π/3
Radius: r=?

Area of the circle: A=</span><span>16π cm^2

A=</span>π r^2

Replacing A=16π cm2 in the equation above:
16π cm^2=π r^2

Solving for r: Dividing both sides of the formula by π:
(16π cm^2)/π=(π r^2)/π

16 cm^2=r^2

Square root both sides of the formula:
sqrt( 16 cm^2)=sqrt(r^2)
4 cm=r
r=4 cm

L=r Θ
L=(4 cm)π/3
L=4π/3 cm
REY [17]3 years ago
4 0

Answer:

4π/3 cm

Step-by-step explanation:

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3 years ago
In a version of the game of roulette, a steel ball is rolled onto a wheel that contains 19 red, 19 black and 2 green slots. If t
trasher [3.6K]

Answer:

The probability is 0.3576

Step-by-step explanation:

The probability for the ball to fall into the green ball in one roll is 2/1919+2 = 2/40 = 1/20. The probability for the ball to roll into other color is, therefore, 19/20.

For 25 rolls, the probability for the ball to never fall into the green color is obteined by powering 19/20 25 times, hence it is 19/20^25 = 0.2773

To obtain the probability of the ball to fall once into the green color, we need to multiply 1/20 by 19/20 powered 24 times, and then multiply by 25 (this corresponds on the total possible positions for the green roll). The result is 1/20* (19/20)^24 *25 = 0.3649

The exercise is asking us the probability for the ball to fall into the green color at least twice. We can calculate it by substracting from 1 the probability of the complementary event: the event in which the ball falls only once or 0 times. That probability is obtained from summing the disjoint events: the probability for the ball falling once and the probability of the ball never falling. We alredy computed those probabilities.

As a result. The probability that the ball falls into the green slot at least twice is 1- 0.2773-0.3629 = 0.3576

5 0
3 years ago
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steposvetlana [31]

Answer:

Page 3 - the y-intercept would remain at 5 and the slope would be 3 times the upward slope.

Page 5 - the y-intercept would remain at -2 and the slope would be 1/4 instead of 5

Step-by-step explanation:

In point slope form the slope and y-intercept can be read directly from the equation.

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POINTS Please HurryHassan helps his dad with newspaper deliveries. He gets $5 every morning and 10 cents for every paper deliver
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Step-by-step explanation:

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2 years ago
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A map distance of 5 inches represents 200 miles of actual distance . Suppose the distance between two cities on the map is 7 inc
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\frac{5}{200} = \frac{7}{x} \\ 5x = 1400 \\ x = 280

therefore, the actual distance is 280 miles. 

(sorry, idk the rule for it)
7 0
3 years ago
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