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IgorLugansk [536]
2 years ago
12

At what time a person can travel 800 meters at 36 km per hour

Mathematics
1 answer:
garik1379 [7]2 years ago
6 0

Answer:

.02 hours

or

1.2 minutes

Step-by-step explanation:

800 meters is .8 kilometers (because there are 1000 meters in a kilometer).

Now just do dimensional analysis.

.8 km 1 hour

-------- x -------- = .02 hours

. 1 36 km

To find minutes, multiply .02 by 60.

(.02)(60)=1.2 minutes

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A fence must be built to enclose a rectangular area of 20,000 ft^2. Fencing material costs $4 per foot for the two sides facing
Marysya12 [62]

The cost of the least expensive fence is $3200

Step-by-step explanation:

The given is:

  • A fence must be built to enclose a rectangular area of 20,000 ft²
  • Fencing material costs $4 per foot for the two sides facing north and south and ​$8 per foot for the other two sides

We need to find the cost of the least expensive fence

Assume that the length of each side opposite to North or South is x feet and the length of each other sides  is y feet

∵ The length of the rectangle = x feet

∵ The width of the rectangle = y feet

∵ The rectangular area is 20,000 ft²

- Area of a rectangle = length × width

∴ x × y = 20,000

- Divide both sides by x to find y in terms of x

∴ y=\frac{20,000}{x}

The fence's length is equal to the perimeter of the rectangular area

∵ Perimeter of the rectangle = 2 length + 2 width

∴ Perimeter of the rectangle = 2x + 2y

∵ Fencing material costs $4 per foot for the two sides facing

   North and South

∴ x costs $4 per foot

∵ The cost of the other two sides is $8 per foot

∴ y costs $8 per feet

The cost of the fence is the sum of the products of 4 , 2x and 8 , 2y

∵ The cost of the fence (C) = 4(2x) + 8(2y)

∴ C = 8x + 16y

- Substitute y by its value above

∴ C=8x+16(\frac{20,000}{x})

∴ C=8x+\frac{320,000}{x}

To find the least expensive differentiate C with respect to x and equate the answer by 0 to find the value of x

∵ \frac{320,000}{x} can be written as 320,000x^{-1}

∴ C=8x+320,000x^{-1}

∵ \frac{dC}{dx}=8(1)x^{1-1}+320,000(-1)x^{-1-1}

∴ \frac{dC}{dx}=8-320,000x^{-2}

- Equate \frac{dC}{dx} by zero

∴ 8-320,000x^{-2}=0

∵ -320,000x^{-2}=-\frac{320,000}{x^{2}}

∴ 8-\frac{320,000}{x^{2}}=0

- Subtract 8 from both sides

∴ -\frac{320,000}{x^{2}}=-8

- Multiply both sides by x²

∴ - 320,000 = - 8x²

- Divide both sides by -8

∴ 40,000 = x²

- Take √  for both sides

∴ 200 = x

Substitute x in the equation of C to find the least cost of fence

∵ C=8(200)+\frac{320,000}{(200)}

∴ C = 1600 + 1600

∴ C = 3200

The cost of the least expensive fence is $3200

Learn more:

You can learn more about the differentiation in brainly.com/question/4279146

#LearnwithBrainly

5 0
2 years ago
If John has 1107 bars of chocolate and wants to give each of his 10 friends an even amount each, what would each friend get? Wha
Nutka1998 [239]
Divide 1107 by 10, for example:

1107/10= 110.7

The decimal point means the remainder, this means John will only get 7 chocolate bars. 

If You want it split evenly between ALL of them, divide by 1107 by 11, for example: 

1107/11= 100.6, which would leave six bars left, so I think the logical offer would be the first answer I gave you. 

I hope this helped! 
7 0
3 years ago
Driving at a constant speed, Reggie travels 300 kilometers in 1 hour.
Afina-wow [57]

Answer:

Reggie drives at a speed of 300 km/hr

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please answer this question I need this urgent Help meeeee
iren [92.7K]

Answer:

\frac{s}{2t}

Step-by-step explanation:

When you have exponents above a like term and they are being multiplied together, you add them.

For example:

a^{x} *a^{y} = a^{x + y}

So let's group like terms in the numerator:

4r^{3} r^{-5} s^{-2} s^{-1}t   We can add terms like in the example.

4 r^{-2} s^{-3} t

Let's rearrange the denominator.

8r^{-2} s^{-4} t^{2}

Now we have:

\frac{4r^{-2} s^{-3}t}{8 r^{-2} s^{-4} t^{2} }  Cancel like terms

4/8 = 1/2    

r^{-2} /r^{-2} = 1  So it cancels

s^{-3} / s^{-4} = s^{-1} = s Since s is raised to the -1 it goes on top and becomes s.

t / t^{2}  = 1/t

Now we combine everything back together:

\frac{s}{2t}

8 0
2 years ago
Which is enough information to prove that s is parallel to t? Lines s and t are cut by transversal r to form 8 angles. Clockwise
serg [7]

Answer:The answer is B

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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