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Vlad1618 [11]
3 years ago
9

An arc subtends a central angle measuring \dfrac{3\pi}{5}

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
8 0

Answer:

3/10

Step-by-step explanation:

The central angle of the arc is \frac{3 \pi}{5}.

The circumference of an arc of a circle is given as:

C_a = \frac{\theta}{2 \pi} * C

where C= circumference of the circle

θ = central angle of the arc

Therefore, the circumference of the arc is:

C_a = \frac{\frac{3 \pi}{5} }{2 \pi} * C\\\\C_a = \frac{3 \pi}{10 \pi} * C\\\\C_a = \frac{3}{10}C

The circumference of the arc will be 3/10 of the circumference of the circle.

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Suppose we have two bags with the numbers. Each bag has a total of 100 numbers. In the first bag there are 31 lucky numbers, in
attashe74 [19]

Answer:

There should be at most 24 lucky numbers in the third bag.

Step-by-step explanation:

Initially, there are 200 numbers. Two bags with 100 each. There are 31+18 = 49 lucky numbers. So there is a 49/200 = 0.245 probability that a randomly selected number from a random bag is the lucky number.

Now with 300 numbers, we want this probability to be lower than 24.5%. So we should solve the following rule of three:

200 - 49

300 - x

200x = 300*49

x = 1.5*49

x = 73.5

With the third bag, the probability will be the same if 73.5-49 = 24.5 lucky numbers are added. So there should be at most 24 lucky numbers in the third bag.

3 0
4 years ago
Connor bought a pack of 4 notebooks for<br> $8.20. What was the unit price? please explain
Mamont248 [21]

Answer:

$2.05

Step-by-step explanation:

$8/4 notebooks= $2

.20/4=.05

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$2.05

3 0
3 years ago
What is the least common denominator of<br> 1/3 and 5/9
crimeas [40]

Answer:

<h2>LCD = 9</h2>

Equivalent Fractions with the LCD

1/3 = 3/9

5/9 = 5/9

Solution:

Rewriting input as fractions if necessary:

1/3, 5/9

For the denominators (3, 9) the least common multiple (LCM) is 9.

LCM(3, 9)

Therefore, the least common denominator (LCD) is 9.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

1/3 = 1/3 × 3/3 = 3/9

5/9 = 5/9 × 1/1 = 5/9

4 0
3 years ago
Solve 5x +30<br> 10x. Identify the solution and an extraneous solution.
Anon25 [30]

Answer:

X=6

Step-by-step explanation:

4 0
3 years ago
Of 1996 people who came into a blood bank to give blood, 294 people had high blood pressure. Estimate the probability that the n
Naddik [55]
We know that out of the 1996 people, 294 had high blood pressure. We can use that to create a fraction.

294/1996 = 147/998 = 0.14729...

The probability of the next person having blood pressure is about 15%.
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3 years ago
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