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3 years ago

Find the measure of each triangle.

Mathematics

1 answer:

krok68 [10]3 years ago

8 0

M1 = 27
m2= 27 also

To do this, Triangle abd is a right triangle. As the square in angle adb shows its 90°. Which shows that angle cdb is also 90°. All triangles equal 180° so add 90° to 63° (angle dcb) which equals 153. Take 180 and subtract 153 and you get 27° as the measurement of thr missing angle m1. Repeat for missing angle 2 ( which is also 27°)

This should be repeatable for the problems above too.

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Assume a warehouse operates 24 hours a day. Truck arrivals follow Poisson distribution with a mean rate of 36 per day and servic

kirill [66]

The expected waiting time in system for typical truck is 2 hours.

Step-by-step explanation:

Data Given are as follows.

Truck arrival rate is given by, α = 36 / day

Truck operation departure rate is given, β= 48 / day

A constructed queuing model is such that so that queue lengths and waiting time can be predicted.

In queuing theory, we have to achieve economic balance between number of customers arriving into system and that of leaving the system whether referring to people or things, in correlating such variables as how customers arrive, how service meets their requirements, average service time and extent of variations, and idle time.

This problem is solved by using concept of Single Channel Arrival with exponential service infinite populate model.

Waiting time in system is given by,

$w_{s} = \frac{1}{\alpha - \beta }$

where $w_s$ is waiting time in system

$\alpha$ is arrival rate described Poission distribution

$\beta$ is service rate described by Exponential distribution

$w_{s} = \frac{1}{\alpha - \beta }$

$w_{s} = \frac{1}{48 - 36 }$

$w_{s} = \frac{1}{12 } day$

$w_{s} = \frac{1}{12 } \times 24 hour$ ...it is due to 1 day = 24 hours

$w_{s} = 2 hours$

Therefore, time required for waiting in system is 2 hours.

5 0

4 years ago

(15 – 5) •2<br> ill give brainlist

IRISSAK [1]

Answer:

Step-by-step explanation:15-5=10 10 x 2 =20

8 0

4 years ago

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Which number produces an rational number when multiplied by 1/5

Sedaia [141]

Any rational number will satisfy the situation.

5 0

3 years ago

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What is the approximate distance between the points (-3,-4)(-8,1) on a coordinate grid?

Alex

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-8-(-3)]^2+[1-(-4)]^2}\implies d=\sqrt{(-8+3)^2+(1+4)^2} \\\\\\ d=\sqrt{25+25}\implies d=\sqrt{50}\implies d\approx 7.071$

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4 years ago

Answer the following questions: 2/3 is what percent of 1/6 ?

Mrac [35]

Answer:

2/3=4/6 and that's 4 times 1/6. So the answer is 100% times 4 which is 400%

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3 years ago

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