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1 year ago

What is the measure of 28? O 90⁰ O 60° O 180° O 120°

Mathematics

2 answers:

Mariulka [41]1 year ago

8 0

Answer:

B. 60°

Step-by-step explanation:

Angle 4 and angle 8 are equal. Find the measure of angle 4 to know the measure of angle 8.

∠4=∠8

180-120=60

∠4=60°

Since angle 4 equals 60 degrees, angle 8 also equals 60 degrees.

Hope this helps!

Vanyuwa [196]1 year ago

6 0

Answer: 120

Step-by-step explanation:

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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

2 years ago

If rectangle A has a length and width that are z times the length and width of rectangle B, which of the following is true?

coldgirl [10]

The answer is A the perimeter of rectangle A is z times the perimeter of rectangle B

6 0

2 years ago

Please help me !! :))))

mario62 [17]

I think a is your answer

7 0

2 years ago

Read 2 more answers

How is the pythogorean theorem used to determine the distance formula

Fiesta28 [93]

Answer:

The distance formula uses the coordinates of points and the Pythagorean Theorem to calculate the distance between points. If A and B form the hypotenuse of a right triangle, then the length of AB can be found using this formula, leg2 + leg2 = hypotenuse2 (or you can use A squared + B squared = C squared)

Am not a real genius but I hope that answers your question! ^w^

5 0

2 years ago

What is the probability of rolling a sum of 3 on a standard pair of six-sided dice?

salantis [7]

To solve this problem, let us recall that the formula for probability is:

Probability = total number of successful events / total events

Where in this case, an event is considered to be successful if the sum is 3 on the pair of six sided dice.

First, let us calculate for the total number of events. There are 6 numbers per dice, therefore the total number of combinations is:

total events = 6 * 6 = 36

Next, we calculate for the total number of combinations that result in a sum of 3. We can identify that there are only two cases that result in sum of 3. That is:

1st case: first dice rolls 1, second dice rolls 2

2nd case: first dice rolls 2, second dice rolls 1

Hence, total number of successful events = 2. Therefore the probability is:

Probability = 2 / 36 = 1 / 18 = 0.0556 = 5.56%

5 0

2 years ago