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SSSSS [86.1K]
3 years ago
11

A central angle in a circle has a measure of 1 radian. The length of the arc it intercepts is 3.07 in. What is the radius of the

circle?

Mathematics
2 answers:
ludmilkaskok [199]3 years ago
6 0
SOMEONE PLEASE HELP ME ) A central angle in a circle has a measure of 1 radian. The length of the arc it intercepts is 3.07 in. What is the radius of the circle?

Ber [7]3 years ago
5 0

Answer:

Radius of the circle is 3.07 in ( inches).

Step-by-step explanation:

The mathematical formula representing the relationship between radius and central angle is given as :

S = rθ

Where S is the length of the arc in inches (in)

r is the radius of the circle

θ is the central angle in radians

Given that from the above question,

S = 3.07 inches

Central angle (θ)= 1 radians

Radius = unknown which is represented by r

Therefore,

3.07in = 1r

Therefore, r = 3.07 ÷ 1

r = 3.07in (inches)

The radius of the circle is 3.07in (inches)

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Which two numbers does the square Root of 52 lie between on a number line?
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Answer:

between 7 and 8

Step-by-step explanation:

7 squared is 49

8 squared is 64

49 < 52 < 64

3 0
3 years ago
1) the dragon family lives 165 miles away from the castle, and it takes them 3 hours to fly over there.
Tamiku [17]

1) Speed is measured in distance units divided by time units, such as miles per hour. Here, you're given the number of miles traveled and the number of hours it takes, so you can figure tha average speed to be

... speed (or "rate of change") = distance/time = 165 mi/(3 h) = 55 mi/h

2) "speed at the moment" 1.5 hours into the flight means ...

... d. an instantaneous rate of change at 1.5

3) To keep their average speed on target, the dragons must travel at higher than their average speed for a while.

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4 years ago
In exercises 21 and 22, find the indicated angle measure. (See photo)
Fudgin [204]

Answer:

42°, 101°

Step-by-step explanation:

These answers come from the angle subtraction postulate.

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2 years ago
Read 2 more answers
The lakers scored a total of 80 points in a basketball game against the bulls. the lakers make a total of 37 two-point and three
Dmitrij [34]
To answer the item, we let x be the number of 2-point baskets and y be the 3-point basket, respectively. The system of linear equations that would allow us to express the given mathematically is,

    x + y = 37
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To determine the values of the variables, express x of the first equation in terms of y.
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Substituting this to the second equation,

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The value of y from the equation is 6. 

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8 0
3 years ago
Write an equation that is perpendicular to y=3/5x-1 and passes through the point (9,14)
Leokris [45]

Answer:

y=(-5/3)x+29

Step-by-step explanation:

we will use the base formula y=mx+b

In order to be perpendicular, the slope must be the flipped fraction and have the opposite sign, so our m is (-5/3)

y=(-5/3)x+b

You can plug in the (9,14) point in order to find the b

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14+15=b

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and so altogether our equation is y=(-5/3)x+29

8 0
3 years ago
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