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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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Free_Kalibri [48]

Answer:

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Step-by-step explanation:

4 0
3 years ago
What is the simplified form of (3.25x10^3)(7.8x10^6) written in scientific notation?
BabaBlast [244]

Answer: 2.535*10^{10}


Step-by-step explanation:

1. By definition, scientific notation has the following form:

a*10^{b}

Where:

<em> a</em> is a number between 1 and 10 but does not include 10.

<em> b </em>an integer.

2. When you multiply 3.25 by 7.8  the result is 25.35 and when you multiply 10^{3} by 10^{6}, you obtain 10^{9}, but to write ree thsult in scientific notation, the decimal point must be after the first digit. Therefore, you must move the decimal point one place to the left. So, the exponent changes from 9 to 10:

(3.25*10^{3})(7.8*10^{6})=2.535*10^{10}

3 0
2 years ago
C. 2x2
Brut [27]

Answer: D

Step-by-step explanation:

If f(x) = 4x - 2 and g(x) = 2x + 7 then which of the following gives f(g(3))?

g(3) = 2*3+7 = 6+7 = 13

f(g(3))=f(13) = 4* 13 -2= 52 -2 = 50

7 0
2 years ago
Pls help. It would mean a lot :)))
FromTheMoon [43]

Answer: 15

Step-by-step explanation:

20/8=2.5

6*2.5=15

6 0
2 years ago
How many toothpicks will be required to make the fith row ?
hammer [34]

Answer:

6

Step-by-step explanation:

I am thinking it is 6 because you can just look at b and it looks the same

so I think it would be the same answer

6 0
3 years ago
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