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Valentin [98]
2 years ago
15

The diameter of a circle is 4 centimeters. What is the length of a 45° arc?​

Mathematics
1 answer:
madam [21]2 years ago
3 0

Answer: The length of the arc is 1.57 centimeters

Step-by-step explanation: If the diameter has been given as 4 centimeters, then the radius would be diameter divided by 2, and that equals 2.

With the radius now known as 2, we can calculate the length of the arc as follows;

Length of an arc = (Ω/360) x 2πr

Where Ω is the angle subtended by the radio and r is the radius.

Length of an arc = (45/360) x 2 x 3.14 x 2

Length of an arc = (1/8) x 12.56

Length of an arc = 1.57

Therefore, the length of the arc is 1.57 centimeters

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In a survey, 600 adults in a certain country were asked how many hours they worked in the
Snowcat [4.5K]

Answer:

C. Correct

Step-by-step explanation:

The interpretation of a confidence interval of x% is that we are x% that this interval contains the mean of the population.

So, for example, the interpretation of a confidence interval of 95% is that we are 95% that this interval contains the mean of the population.

In this problem, we have that:

Based on the results, a 95% confidence interval for mean number of hours worked was lower bound: 41.5 and upper bound: 45.6.

Also, the following affiration:

(A) There is a 95% chance the mean number of hours worked by adults in this country in the previous week was between 41.5 hours and 45.6 hours.

This is correct

So, the answer is:

C. Correct

5 0
2 years ago
I need help please help me thanks
Nady [450]

Answer:

1. The y-intercept 8 means you start off with $8. The slope 1/4 means how much money you have to pay for the amount of tickets purchased for carnival games.

2. The y-intercept 2 means the number of chapters you started reading and the slope 5/4 means the number of chapters you read per day.

3. The y-intercept 3 means the inital (start) cost of a muffin delivery and the slope 2 means the cost of each muffin delivery for the number of muffins you ordered.

Number 3 on the slope part might be the other way around if I'm wrong :)

7 0
3 years ago
What is the value of y in the product of powers below?
Marat540 [252]

Answer:

y =0

Step-by-step explanation:

From the equation;

8³ × 8⁻⁵×8^y = 8⁻²= 1/8²

From the laws of indices;

aⁿ×aⁿ = a^2n

Therefore;

8³ × 8⁻⁵×8^y = 8^(3+-5+y)

8^(-2+y) = 8^-2 ; but the bases are the same and thus the exponents are the same;

-2 + y = -2

      y = 0

8 0
2 years ago
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Identify the solution set of the inequality, using the given replacement set.
Deffense [45]
Thank you for posting your question here at brainly. Feel free to ask more questions.   
<span>
The best and most correct answer among the choices provided by the question is </span><span>C.{–10, –4.3}</span> .    
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7 0
2 years ago
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9 markers cost $11.50. How much would 7 markers cost?
Anna007 [38]

Answer:

7 markers cost $8.95

Step-by-step explanation:

9x = 11.50

x = 11.5/9 = 1.278

Therefore, 7 markers, or 7x = 7(1.278) = 8.946

8 0
3 years ago
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