Civil engineer wants to estimate the maximum number of cars that can safely travel on a particular road at a given speed. He assumes that each car is 14 feet long, travels at speed S, and follows the car in front of it at a safe distance for that speed. He finds that the number N of cars that can pass a given spot per minute is modeled by the function N=(89s)/(14+14(s/17)^2))

At what speed can the greatest number of cars travel safely on that road? Assume that the maximum possible speed of a car is less than 300.

Answer:

m∡2 = 64°

Step-by-step explanation:

By definition of vertical angles, the angles opposite of each other are equal each other.

∴ IF ∡1 and ∡2 are vertical angles, AND m∡1 = 64°, THEN m∡2 = 64°. (CPCTC - Definition of Vertical Angles).

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Final answer:

Vertical angles are equal. Therefore, if ∡1 is 64°, then ∡2 is also 64°.          

Explanation:

In mathematics, vertical angles are a pair of non-adjacent angles formed when two lines intersect. By definition, vertical angles are equal in measure.                                    

Therefore, when angle 1 (∡1 ) and angle 2 ( ∡2 ) are vertical angles, if the measure of angle 1 ( m∡1 ) equals 64° as per the question, then the measure of angle 2 (m∡2) will also equal 64°.                      

So, m∡2 = 64°.

Learn more about Vertical Angles here:

https://brainly.ph/question/287711

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Complete question is;

Maya is choosing between several pay plans for her new job. If she usually has monthly sales of about $5,000, which plan would allow Maya to earn the most money in a month?

Plan, Monthly base salary, Commission rate

A, $500, 8%

B, $600, 7%

C, $700, 6%

D, $800, 5%

Options:

A. plan A

B. plan B

C. plan C

D. plan D

Answer:

Option D - Plan D

Step-by-step explanation:

For plan A, at 8% commission rate,her monthly pay would be, 500 + 8%*5,000 = $900

For plan B, at 7% commission rate, her monthly pay would be; 600 + 7%*5,000 = $950

For plan C, at 6% commission rate, her monthly pay would be;700 + 6%*5,000 = $1000

For plan D, at 5% monthly commission rate, her monthly pay = 800 + 5%*5,000 = $1050

So the plan that allows maya earn the most is the highest which is plan D

Answer:

Plan D

Step-by-step explanation:

-20+20w=73

You need to get your variable by itself. Try to section your problem off if you need to. I always like to do my order of operations backwards. The inverse operation of -20 is adding 20 so to cancel that out you need to add 20 to each side. Now you are left with 20w=93.Now you need to get rid of the 20. The inverse of multiplying is dividing. So divide both sides by 20. You are left with 1w=4.65. Which is the same w=4.65 or you could say w=4 13/20. Hope this helps.