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Advocard [28]
3 years ago
14

What is the length of arc S? (The angle in the figure is a central angle in radians)

Mathematics
1 answer:
IgorC [24]3 years ago
7 0

Answer:

π/90 or 0.0035 units

Step-by-step explanation:

equation: <em>length of the arc = ∠of the angle/360 * circumference</em>

Substitute: <em>S = 0.4/360 * 10π</em> --> C = 2πr

Simplify: S = 1/900 * 10π

Simplify: S = π/90 ≈ 0.003489 units

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Help please explain as simple as possible
Virty [35]
Short answer: (-8)^2 + 8  x  -8 = 0

Use PEMDAS

"Evaluate the expression" just means solve until you can't simplify anymore. You must solve it in a certain order according to PEMDAS: Parentheses, Exponents, Multiply, Divide, Add, Subtract.

What does the beginning of the expression look like? It is (-8)^{2}.

According to PEMDAS, you must solve what is in the parentheses *first*. But, since there is only a number (-8), there is nothing to solve for and you can move on to exponents.

The squared symbol, the little 2, means you have to square what is *inside* the parentheses. (-8)^{2} = 64, because -8 times itself is 64.

Next comes multiplication. Remember, we are not working from left to right. We must multiply the values on the far right before we do any adding, because multiplication comes *before* addition.

(64) + (8 times -8)

(64) + (-64)

Finally, we can add. In this case, because we are adding a negative number, we are really subtracting. 64 + -64 equals 0.
8 0
3 years ago
Elijah and Riley are playing a board game. Elijah chooses the dragon for his game piece, and Riley chooses the cat for hers. The
IgorLugansk [536]

Answer: 3/8

Step-by-step explanation: 7/8 - 1/2= (7*2)-(1*8)

--------------- = 6/16 6 divided by 2 and then 16 divided by 2= 3/8

^8*2

5 0
3 years ago
What is the product of -1 3/8 and 2 4/5
DanielleElmas [232]
All you have to do is change the fractions to improper fractions and multiply it acrossed, then simplify.

-3 17/2
7 0
3 years ago
The product of any fraction and 1/6 will always be less than 1/6?
galina1969 [7]
Yes because thats the simplest fourm
4 0
3 years ago
Consider the baggage check-in process of a small airline. Check-in data indicate that from 9 a.m. to 10 a.m., 220 passengers che
lakkis [162]

Answer:

The passengers have an average of 8.15 minutes to wait in line

Step-by-step explanation:

Using Little's law

Average Inventory = Average Flow Time * Average Flow Rate

Average Inventory = 220 passengers

Average Flow Rate = 27

Average Flow time =?

So,

220 = Average Flow Time * 27

Average Flow Time = 220/27

Average Flow Time = 8.14814814814

Average Flow Time = 8.15 --------- Approximated

So the average wait time for a passenger is 8.15 minutes

6 0
3 years ago
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