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harina [27]
3 years ago
8

A circle has a radius of length r. If you mark off an arc on the circle of length 2r what is the measurement of the angle that s

ubtends the arc?
A 2pi radians
B. 2 pi r radians
C. 2r radians
D. 2 radians
Mathematics
2 answers:
Inessa05 [86]3 years ago
6 0
A full circle has a circumference of 2πr and an angle of 2π radians.

Set up a proportion:
2πr - 2π rad
2r - x rad

2\pi r \times x = 2\pi \times 2 r \\
2\pi r x=4 \pi r \\
x=\frac{4 \pi r}{2 \pi r} \\
x=2

The answer is D. 2 radians.
marusya05 [52]3 years ago
6 0

Answer: 2 radians

Step-by-step explanation:

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Beth has 4900 feet of fencing available to enclose a rectangular field. one side of the field lies along a river, so only three
Illusion [34]

Perimeter (P) = 2L + x

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Area (A) = L · x

A  = (\frac{4900 - x}{2}) (x)

    = \frac{4900x - x^2}{2}

4 0
3 years ago
Number 7 thanks ASAP ASAP
stellarik [79]

Answer:

Price is $1088 (agrees with answer B)

Step-by-step explanation:

Notice that the linear equation that represents this relationship can be estimated via finding the slope and y-intercept using a couple of the given points on the plane (for example (5, 140), and (10, 200), which results in;

Price = 12 x + 80

where "x" is the number of computers shipped.

Then, to ship 84 computers, we have the following price:

Price = 12 (84) + 80 = 1088

Then the price is $1088.

6 0
3 years ago
A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the larger number a
mariarad [96]

Answer:

The two equations are

y = x - 3 and

3y = x + 9

Step-by-step explanation:

The options are not well stated. I'll answer the question without the options but however, my answer will be a reflection of one of the given options.

Given:

2 statements

Required

Write equivalent of both statements as equations

Let the large number be represented by x.

From the first statement (y, is equal to the difference of a larger number and 3)

Difference means minus (-); so, this statement is represented as follows to give us the first equation:

y = x - 3

From the second statement (The same number is one-third of the sum of the larger number and 9).

This is also represented as follows to give us the second equation

y = ⅓(x + 9)

Multiply both sides by 3

3 * y = 3 * ⅓(x + 9)

3y = x + 9

So, the two equations are

y = x - 3 and

3y = x + 9

4 0
3 years ago
Read 2 more answers
What’s the correct answer for this?
Tom [10]
You’re answer would be $28,000
6 0
2 years ago
ANSWER ASAP!!!
denis23 [38]

Answer:

Then, the object will take 29.11 min to travel 4\frac{9}{10}miles

Step-by-step explanation:

When an object is moving at a steady speed, we can calculate the time it would take to travel a given distance using the following formula:

time=\frac{distance}{speed} (equation 1)

In this particular, both the given speed and distance are mixed fractions so we'll first convert them into improper fractions to operate more easily:

speed=10\frac{1}{10} \frac{mi}{h} =\frac{(10*10)+1}{10} \frac{mi}{h}=\frac{101}{10}  \frac{mi}{h}

distance=4\frac{9}{10}mi=\frac{(4*10)+9}{10}mi=\frac{49}{10}mi

So, now we can calculate the time using the equation 1:

time=\frac{distance}{speed}=\frac{\frac{49}{10}mi }{\frac{101}{10} \frac{mi}{h} } =\frac{49*10}{101*10} h

time=\frac{49}{101}h=0.49h

And, if we want the result in minutes:

time=\frac{49}{101}h*\frac{60min}{1h}  =29.11min

Then, the object will take 29.11 min to travel 4\frac{9}{10}miles

5 0
2 years ago
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