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vredina [299]
3 years ago
13

A circle has a circumfernce of 6. It has an arc length of 1

Mathematics
1 answer:
fomenos3 years ago
8 0

Answer:

The circumference formula for a circle is C=πd where C is the circumference, d is the diameter of the circle and π is a constant. If you plug in 6 for C and solve the equation for d like:

6= πd and then divide both sides of the equation by π you get that d = 1.90

To find the central angle of an arc you would use the equation S = rθ where S is the length of the arc, r is the radius of the circle, and θ is the measure of the angle which in this case is unknown. So with S = 1 and r = d/2 = 1.90/2 = 0.9549 you would have an equation that looks like this:

1 = 0.9549θ.  

If you divide both sides of the equation by 0.9549 you get θ = 1.047197 radians.  

The question asked for the angle measure in degrees so you would need to convert the angle measure to degrees by multiplying the degree measurement by 180/π

1.047197 x 180/π =  60°

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The function g is defined as follows.
Radda [10]

Answer:

h(x) =  2x²+2

Step-by-step explanation:

Given the function g is defined as follows.

g(x) = 2x²+7

If the graph is translated by 5units vertically downwards, this means that the function will be reduced by 5 units to have;

h(x) =  2x²+7 - 5

h(x) =  2x²+2

3 0
3 years ago
Paige’s back yard has an area of 95.9 square meters of the length of the yard is 14 meters what is the width
Mandarinka [93]
Your answer is 6.85 meters
5 0
3 years ago
Of 30 students 1/3 play sports 2/3 of them play soccer. How many play soccer
agasfer [191]
1/3 of 30 is 10 because you dividing it by 3 and you would get 10.

Now 2/3 of 10 :

10/3=3.3 (2/3 so we have to multiply by 2) 3.3•2=6.6

6.6 has to be estimated because you can't have 6.6 people.

Your answer would be 6. Before I said 7 but you said I was incorrect so the only possibility left is 6.

Hoped I helped!
4 0
3 years ago
Read 2 more answers
The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance,
galina1969 [7]

Answer:

Range = 13

Mean = 8.3

Variance = 17.61

Step-by-step explanation:

Given the population dataset :

2, 9, 15, 4, 12, 9, 13, 6, 3, 10

1.) Range : (maximum - minimum)

Maximum = 15 ; minimum = 2

Range = (15 - 2) = 13

2.) population mean (μ) :

μ = ΣX / n

n = sample size

μ = (2 + 9 + 15 + 4 + 12 + 9 + 13 + 6 + 3 + 10) / 10

μ = 83 / 10

μ = 8.3

3.) Population variance (s²)

Σ(x - μ)² / n

=[(2 - 8.3)^2 + (9 - 8.3)^2 + (15 - 8.3)^2 + (4 - 8.3)^2 + (12 - 8.3)^2 + (9 - 8.3)^2 + (13 - 8.3)^2 + (6 - 8.3)^2 + (3 - 8.3)^2 + (10 - 8.3)^2] / 10

s² = 176.1 / 10

s² = 17.61

8 0
3 years ago
B is between A and C. C is between B and D. If BC = 45 and CD is 20. If AB = CD, what is the measure of AD?
mafiozo [28]

Answer:

AD = 85

Step-by-step explanation:

AD = AB + BC + CD ( substitute values , noting AB = CD = 20 ) , then

AD = 20 + 45 + 20 = 85

6 0
3 years ago
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