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2 years ago

A circle has a circumference of 50.2450.2450, point, 24 units. What is the radius?

Mathematics

2 answers:

Free_Kalibri [48]2 years ago

8 0

Answer:

r = 8 units

Step-by-step explanation:

The circumference is calculated using $C = 2\pi r$ . Substitute C = 50.24 units. Solve for the radius.

$C = 2 \pi r\\50.24 = 2 \pi r\\25.12 = \pi r\\8 = r$

ahrayia [7]2 years ago

6 0

Answer:

8 units

Step-by-step explanation:

<h2>Formula for the circumference of a circle</h2>

$Circumference = 2\pi r = \pi d\\$

<h2>Solving for the radius</h2>

Let's substitute in the circumference, then solve for the radius.

$50.24 = 2\pi r$

50.24 ≈ 2(3.14)r

8 ≈ r

<h2>The answer</h2>

The radius is approximately 8 units.

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Helga [31]

Hi there
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2 years ago

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Nathan is out rafting. He rafts 16 miles with the river current. At the end of 16 miles, he turns around and rafts the same dist

Novosadov [1.4K]

S = d/t

st = d

t = d/s

The time going is t1.
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The total time is 4 hours, so we have t1 + t2 = 4

The speed of the current is c.
The speed going is 9 + c.
The speed returning is 9 - c.

t1 = 16/(9 + c)

t2 = 16/(9 - c)

t1 + t2 = 16/(9 + c) + 16/(9 - c)

4 = 16/(9 - c) + 16/(9 + c)

1 = 4/(9 - c) + 4/(9 + c)

(9 + c)(9 - c) = 4(9 - c) + 4(9 + c)

81 - c^2 = 36 - 4c + 36 + 4c

81 - c^2 = 72

c^2 = 9

c^2 - 9 = 0

(c + 3)(c - 3) = 0

c + 3 = 0 or c - 3 = 0

c = -3 or c = 3

We discard the negative answer, and we get c = 3.

The speed of the current is 3 mph.

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2 years ago

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Transversal EF cuts parallel lines AB and CD as shown in the diagram and m4=55.1 what are m5 and m7? . A. m<5=34.9 and m7=145

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2 years ago

The random variable X, representing the number of cherries in a cherry puff, has the following probability distribution:x: 4 - 5

marta [7]

Answer:

Step-by-step explanation:

Given is the probability distribution of a random variable X

X 4 5 6 7 Total

P 0.2 0.4 0.3 0.1 1

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c) $P(\bar X$

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2 years ago

Wendy jogs a 5.5-mile route in the city with her running club once a week. She also jogs a nature trail near her home once a wee

insens350 [35]

Answer:

Wendy jogs 13.75 mile in all each week

Step-by-step explanation:

To determine how many miles Wendy jogs in all each week,

we will sum the distance she jogs in the city with her running club in a week to the distance she jogs along the nature trail near her home in a week.

The distance she jugs with her running club = 5.5 mile.

Now, we will determine the distance of the nature trail near her home.

From the question, the nature trail is 1.5 times as long as the route in the city.

Let the distance of the nature trail = $x$