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1 year ago

The rectangle ABCD shown in the diagram is reflected across the line y = 2. What

Mathematics

1 answer:

kobusy [5.1K]1 year ago

3 0

Answer:

Since you haven't attached the diagram here, I'll go over how to do this in general. In order to reflect the rectangle across the horizontal line drawn at y = 2, consider the number of units of each coordinate from this line of reflection. Now count the same number of units on the other side of the line to plot the coordinates of the reflected rectangle. For example, if point A was at (1, 5), the point A' would then be at (1, -1). Notice that the x-coordinate remains the same.

Hope that answers the question, have a great day!

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Each airline passenger and his or her luggage must be checked to determine whether he or she is carrying weapons on to the airpl

Dafna1 [17]

Answer:

$P_k = 0.83$

$N_{\mu} \approx 4 \ passengers$

$T_{\lambda} = 0.5 \ minutes$

Step-by-step explanation:

From the question we are told that

The average number of passengers that arrive per minute is $\lambda = 10$

The average number of check that can be carried out in one minute is $\mu= 12$

Generally the probability that a passenger will have to wait before being checked for weapons is mathematically represented as

$P_k = \frac{\lambda }{ \mu }$

=> $P_k = \frac{10 }{ 12}$

=> $P_k = 0.83$

Generally the number of passengers are waiting in line to enter the checkpoint is mathematically represented as

$N_{\mu} = \frac{\lambda^2}{\mu (\mu -\lambda) }$

=> $N_{\mu} = \frac{10^2}{12 (12 -10) }$

=> $N_{\mu} \approx 4 \ passengers$

Generally the average time a passenger spend at the checkpoint is mathematically represented as

$T_{\lambda} = \frac{ \frac{\lambda}{(\mu - \lambda)} }{ \lambda}$

=> $T_{\lambda} = \frac{ \frac{ 10}{(12 - 10)} }{10}$

=> $T_{\lambda} = 0.5 \ minutes$

5 0

1 year ago

Find the volume of this cylinder.

const2013 [10]

Volume of a Right circular cylinder=πr²h

Using "Cavaliers principle" or Just pire logic... it can be understood that...

if we were to cut of the base and top of the cylinder such that it will make up to be a right circular cylinder and join the other two pieces on top; We would obtain a Right circular cylinder With The same radius and height as the Given cylinder.

So;

Given. Base area B=81πcm²

also Base area =πr²

=>πr²=81π cm²

=>r=√81=9cm

Also Given;

Height h=3r

=>Height,h=3×9=27cm

So;Volume of cylinder V=πr²h ;(r²=81,h=27)

=>V=(81×27×22)/7

=>V=6867.18cm³ (approx.)

So,Required Volume =6867.18cm³(approx.)

Hope it helps...

Regards,

Leukonov/Olegion.

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2 years ago

A measuring cylinder of radius 3.5cm contains water to a height of 56cm. If this water is poured into a similar cylinder of radi

Likurg_2 [28]

Answer:

3.5cm

Step-by-step explanation:

Please see attached picture for full solution.

Volume of cylinder= πr²h, where r is the radius and h is the height.

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2 years ago

Juanita wrote 3 x 47 as 3 x 40 + 3 x 7. What property did she use to rewrite the expression?

Arte-miy333 [17]

Commutative Property, Breaking the problem 3x47 into simpler equation of 3x40+3x7

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June :
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