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3 years ago

E=mc2 rewrite the equation to solve for m

2 answers:

5 0

That's a beautiful formula by the way.

$E=m{ c }^{ 2 }\\ \\ \frac { 1 }{ { c }^{ 2 } } \cdot E=m{ c }^{ 2 }\cdot \frac { 1 }{ { c }^{ 2 } } \\ \\ m=\frac { E }{ { c }^{ 2 } }$

Alenkasestr [34]3 years ago

3 0

E=mc^2 can be re-written as m=E/(c^2) where m represents the mass.

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Your task is to build a road joining a ranch to a highway that enables drivers to reach the city in the shortest time. The perpe

lubasha [3.4K]

Answer:

(a)In the attachment

(b)The road of length 35.79 km should be built such that it joins the highway at 19.52km from the perpendicular point P.

Step-by-step explanation:

(a)In the attachment

(b)The distance that enables the driver to reach the city in the shortest time is denoted by the Straight Line RM (from the Ranch to Point M)

First, let us determine length of line RM.

Using Pythagoras theorem

$|RM|^{2}=30^2+x^2\\|RM|=\sqrt{30^2+x^2}$

The Speed limit on the Road is 60 km/h and 110 km/h on the highway.

Time Taken = Distance/Time

Time taken on the road $=\frac{\sqrt{30^2+x^2}}{60}$

Time taken on the highway $=\frac{50-x}{110}$

Total time taken to travel, T $=\frac{\sqrt{30^2+x^2}}{60}+\frac{50-x}{110}$

Minimum time taken occurs when the derivative of T equals 0.

$T^{'}=\frac{x}{60\sqrt{30^2+x^2}}-\frac{1}{110}\\\frac{x}{60\sqrt{30^2+x^2}}-\frac{1}{110}=0\\\frac{x}{60\sqrt{30^2+x^2}}=\frac{1}{110}\\110x=60\sqrt{30^2+x^2}\\$

Square both sides

$12100x^2=3600(30^2+x^2)\\12100x^2=3240000+3600x^2\\12100x^2-3600x^2=3240000\\8500x^2=3240000\\x^2=\frac{3240000}{8500} =381.18\\x=\sqrt{381.18} =19.52$

The road should be built such that it joins the highway at 19.52km from the point P.

In fact,

$|RM|=\sqrt{30^2+19.52^2}=35.79km$

4 0

3 years ago

HELP PLZ!!!!!! I WILL GIVE 40 POINTS!!!!!!

Rina8888 [55]

$9$

<h2><em>hope</em><em> it</em><em> helps</em></h2>

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3 years ago

Which prism can be made using the net shown below?

mr_godi [17]

Answer:

A or B because it is the same aswner

Step-by-step explanation:

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2 years ago

Jessica drove 660 miles in 12 hours. At the same rate, how many miles would she drive in 9 hours?

NARA [144]

Many d a dsnnynsnsnsjsjsnnsnsndny

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2 years ago

Describe how you would use the Distributive

S_A_V [24]

We usually use the distributive property because the two terms inside the parentheses can't be added because they're not like terms.
Make sure you apply the outside number to all of the terms inside the parentheses/brackets.

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3 years ago