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Bingel [31]
3 years ago
11

A circle has a radius of 6 inches and a central angle of 60°. What is the measure of the arc length associated with this angle?

Mathematics
1 answer:
Readme [11.4K]3 years ago
6 0

Answer:

2\pi

Step-by-step explanation:

first you take 60°/360°= 1/6   then you take 1/6 and multiple it by 2\pi and that equals \frac{\pi }{3}   finally take  \frac{\pi }{3}  times the radius (6) and that should equal 2\pi

PLATO USERS #platolivesmatters

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The lines whose equations are 2x + y = 3z and x + y = 6z intersect at which point?
Tema [17]
2x + y - (x + y) = 3z - 6z 
--------------------------------------------------------
<span>x = -3z </span>
------------------------------------------

<span>(-3z, 9z) </span>
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<span>(x,y,z) = (-3z, 9z, z) 
</span>--------------------------
<span>x = -3z, y = 9z
---------------------
There for the answer is </span><span>(-3z, 9z) </span>
3 0
3 years ago
If a rectangular. Prism. Has 5cm. 10cm on one side and 4cm on the. Other. What is the volume of the rectangle?
emmasim [6.3K]

Answer: 200\ cm^3

Step-by-step explanation:

Given

The dimension of the rectangular prism is

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The volume of the prism is given by V=l\times w\times h

\Rightarrow V=5\times 10\times 4\\\Rightarrow V=200\ cm^3

Therefore, the volume of the prism is 200\ cm^3.

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3 years ago
Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a
andrew11 [14]

Answer:

Step-by-step explanation:

Given that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20 (suggested in the article "Dynamic Ride Sharing: Theory and Practice"†).

a) P(X\leq 15) = 0.1565=0.157

b) P(X>26) =1-F(26)\\= 1-0.9221\\=0.0779=0.078

c) P(15\leq x\leq 26)\\=F(26)-F(14)\\=0.9221-0.1049\\=0.8172=0.817

d) 2 std dev = 2(20) =40

Hence 2 std deviation means

20-40, 20+40

i.e. (0,60)

P(0

5 0
3 years ago
a rectangular prism with a volume of 10 cubic units is filled with cubes with side lenghts of 1/2 unit how many 1/2 unit cubes d
Pachacha [2.7K]

Answer:

Step-by-step explanation:

The volume of a cube is

V=s^3, we are told the volume is 10u^3 and that it will be filled with cubes having a side of 1/2 so

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n(1/8)=10 upon multiplying each side by 8

n=80

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6 0
3 years ago
219.44 in word form
Naily [24]

Answer:

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OR

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do not say AND before nineteen. saying AND represents a decimal point. Both can be used (point or and)

6 0
3 years ago
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