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Schach [20]
2 years ago
5

The radius of a circle is 8 inches. What is the angle of an arc 2π inches long?

Mathematics
1 answer:
Y_Kistochka [10]2 years ago
3 0

Answer:

π/4 radians

Step-by-step explanation:

The arc length formula is s = rФ, where Ф is the central angle (in radians).

Here, r = 8 inches and s = arc length = 2π inches.  We need to find the central angle, Ф.  The formula given above is s = rФ, or, equivalently,

Ф = s/r.

Here, the central angle is Ф = s/r = 2π/8, or π/4 radians.

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Sarah is allowed to watch no more than 10 hours of television each week. Sarah has already watched 6 hours of television. Define
sashaice [31]

Answer:

Inequality = 6 + x ≤ 10

x(Number of hours more of television Sarah can still watch this week) = 4 hours

Step-by-step explanation:

Define a variable, set up an inequality and solve that inequality to determine how many more hours of television Sarah can watch this week.

We are told in the question that:

Sarah is allowed to watch no more than 10 hours of television each week.

This means :

Sarah can watch tv for less than or equal to 10 hours in a week. Sarah has already watched 6 hours of television.

Hence:

The number of hours left that Sarah can watch television in a week is represented as x

Our Inequality Equation =

6hours + x hours ≤ 10 hours

6 + x ≤ 10

Solving the inequality

x ≤ 10 - 6

x ≤ 4 hours

This means Sarah still has no more than (less than or equal to) 4 hours or television left to watch in this week

7 0
3 years ago
Please Help,
musickatia [10]
X=6 Z=8 so X:Z =. 6/8 So 2 goes into both 6 and 8 so divide numerator and denominator by 2 which = 3/4
4 0
3 years ago
Read 2 more answers
Lucas’s computer took 480 seconds to download 30 songs. How many seconds per song did it take his computer to download?
Arte-miy333 [17]

Answer:

16 seconds per download

Step-by-step explanation:

480/30 = 16 seconds

4 0
3 years ago
Read 2 more answers
Every month, Mr. Leroy pays his rent through automatic payments (withdrawals) from his
GarryVolchara [31]

Answer:

-445/month

Step-by-step explanation:

I think that what you would do is divide -5,341 by 12, which gives you -445

6 0
3 years ago
Para embalar una caja se emplea 4,2 m de cinta adhesiva. ?Cuántas cajas se podrán embalar con tres rollos que tienen 3 hm, 7 dam
kompoz [17]

For this case, we perform the conversions:

First roll:

1 \ Hectometer --------> 100 \ meters\\3 \ Hectometer --------> x

x = \frac {3 * 100} {1}\\x = 300 \ meters.

We make a rule of three to determine the number of "c" boxes that can be packed with 300 meters of adhesive tape.

1 -----------> 4.2

c -----------> 300

c = \frac {300 * 1} {4.2}\\c = 71.42857143\\c = 71

You can pack 71 boxes.

Second roll:

1 \ Decametro --------> 10 \ meters\\7 \ Decameter --------> x\\x = \frac {7 * 10} {1}\\x = 70 \ meters.

We make a rule of three to determine the number of "c" boxes that can be packed with 70 meters of adhesive tape.

1 -----------> 4.2

c -----------> 70

c = \frac {70 * 1} {4.2}\\c = 16.66666667\\c = 16

You can pack 16 boxes.

Third roll:

1 -----------> 4.2

c -----------> 50

c = \frac {50 * 1} {4.2}\\c = 11.9047619\\c = 11

You can pack 11 boxes.

Thus, in total you can pack11 + 16 + 71 = 98 \ boxes

Answer:

98 boxes

4 0
3 years ago
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