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3 years ago

Find the value of x. Given: ∠SRT≅∠STR, m∠SRT=20, m∠STU=4x

Mathematics

1 answer:

Dafna11 [192]3 years ago

3 0

Answer:40

Step-by-step explanation:

The answer is 40

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Vehicles leave an airport parking facility (arrive at parking fee collection booths) at a rate of 500 veh/h (the time between ar

Nutka1998 [239]

Answer:

At least 3 processing booths should be open.

Step-by-step explanation:

1 vehicle spends an average of 15 seconds in a booth

In N booths , there will be N/15 vehicles in 1 second

In 1 hr, there will be N/15 * 3600 vehicles

Therefore, there will be a total of 240N vehicles/hour

Actual arrival rate of vehicles at the airport is 500 veh/h

Probability of arrival, P = $\frac{Number of possible outcomes}{Total outcomes}$

P = 500/240N

P = 2.083/N

For the average time spends to be below 5 seconds

$\frac{(\frac{P^{2} }{1-p} )}{500} = 5$ , since 500 is the average value.

$\frac{P^{2} }{1-p} } = 2500\\P^{2} = 2500 (1-P)\\P^{2} = 2500 - 2500P\\(\frac{2.083}{N}) ^{2} = 2500 - 2500(\frac{2.083}{N})$

$2.083^{2} = 2500N^{2} - 5208N\\2500N^{2} - 5208N - 4.34 = 0$

$N^{2} -2.0832N - 0.0017 = 0$

Solving for N using the quadratic formula with a = 1, b = -2.0832, c = -0.0017

$N = \frac{-b \pm \sqrt{b^{2} -4ac} }{2a} \\N = \frac{2.0832 \pm \sqrt{(-2.0832)^{2} -4*1*(-0.0017)} }{2}$

N = 1.0416 ± 1.0424

N = 2.084 or -0.0008

N = 2.084 is the only realistic value here

Therefore, the smallest number of processing booths that must be open should be 3

5 0

3 years ago

What are the coordinates for point A

polet [3.4K]

Answer:

(4, -2)

Step-by-step explanation:

You first go to the x axis (The one going left and round). From this, you can see the point is on 4 for the x axis. After that, you look at the y axis (The one going up and down). From this, you can see it is -2. In all, you put it in coordinate form which gives you (4, -2). I hope this helps you!

4 0

3 years ago

Read 2 more answers

What is the value of x in the equation 2<br> (4x+)-(3x+2)- 8(9-x) = x

Readme [11.4K]

Answer:

open the bracket

(4X+)-3X-2-72+X=X

4X+(-3X)-74+X=X

X-74+X=X

2X-74=X

then collect the term

-74=X-2X

-74=-X

divide by negative every side then you get

X=74

7 0

2 years ago

Sally wants to buy a cell phone. The price of the cell phone she had wanted had increased from $200 last week to $240 this week.

notsponge [240]

20%

200 divided by 5 equals 40

4 0

2 years ago

One planet holds 14 Tomato seedlings. If you have 1,113 seedlings, how many containers do you need to hold all seedlings?

kaheart [24]

Answer:

If your talking about the containers, then you would need 80

containers, hope this helps.

Step-by-step explanation:

5 0

3 years ago

Find the value of x. Given: ∠SRT≅∠STR, m∠SRT=20, m∠STU=4x​

Find the value of x. Given: ∠SRT≅∠STR, m∠SRT=20, m∠STU=4x