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LenaWriter [7]
3 years ago
15

11. Use the above figure to answer the question. How long is arc ACB if the radius of the circle is 6? Round your answer to two

decimal places. A. 25.13 B. 18.86 C. 6.29 D. 12.57

Mathematics
2 answers:
d1i1m1o1n [39]3 years ago
7 0

Answer:25.13

Step-by-step explanation:


Varvara68 [4.7K]3 years ago
3 0
I have to assume that figures OAT and OBT are congruent.

If that is true, the center angle O (of the sector AOB= is 120° and the angle of the sector ACB is 360° - 120° = 240°

Now you can state that the circumferece of the circle / 360 ° = arc ACB / 240° and solve for arc ACB.

arc ACB = circumference * 240 / 360 = 2πr *240/360 = 2π(6)*240/360 = 25.13

Answer: option A. 25.13
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Evaluate the expression
Neporo4naja [7]

Simplify the expression.

Exact form:

\frac{476}{25}

Decimal form:

19.04

Mixed Number Form:

19\frac{1}{25}

8 0
3 years ago
1
KonstantinChe [14]
<h2>                     QUESTION # 1</h2>

Answer:

  • Total distance = 21 units (meters)
  • The average speed = 7 meter per second.

Step-by-step explanation:

To Determine:

If the whole run took the bug 3 seconds, what was its average speed?

Information Fetching and Solution Steps:

  • A beetle was running along a number line.
  • The beetle ran from 4 to 25.

Let suppose each unit on a number line represents 1 meter.

As the beetle ran from 4 to 25, so

the distance covered by beetle is:

                                           25 - 4 = 21 units. i.e. 21 meters

As the average speed can be determined by dividing the total distance by the total time, so

The average speed = total distance / total time

as

Total distance = 21 units (meters)

Total time = 3 seconds

so

The average speed = total distance / total time

                                 = 21/3

                                 = 7 meter per second

Therefore, the average speed = 7 meter per second.

                       

<h2>                       QUESTION # 2</h2>

Answer:

  • Total distance = 54 units (meters)
  • The average speed = 6 meter per second.

Step-by-step explanation:

To Determine:

If the whole run took the bug 9 seconds, what was its average speed?

Information Fetching and Solution Steps:

  • A beetle was running along a number line.
  • The beetle ran from 24 to 78.

Let suppose each unit on a number line represents 1 meter.

As the beetle ran from 24 to 78, so

the distance covered by beetle is:

                                         78 - 24 = 54 units. i.e. 54 meters

As the average speed can be determined by dividing the total distance by the total time, so

The average speed = total distance / total time

as

Total distance = 54 units (meters)

Total time = 9 seconds

so

The average speed = total distance / total time

                                 = 54/9

                                 = 6 meter per second

Therefore, the average speed = 6 meter per second.

6 0
3 years ago
The question is below could you explain in detail thank you so much!!!
Ivan
I think is 1863 m because if you use the formula for area 
8 0
3 years ago
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Evaluate 5! + 2!.<br> Idk what is it
Sedbober [7]

Answer:

122

Step-by-step explanation:

If a number has an explanation point on the side of it, you should multiply all numbers that are equal to are less than that number.

5!=5*4*3*2*1=120\\2!=2*1=2\\120+2=122

4 0
3 years ago
A line passes through the points (4,-1) and (2.3). What is the slope of the line?
deff fn [24]

Answer:

-2

Step-by-step explanation:

i got it right

7 0
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