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ICE Princess25 [194]
3 years ago
5

A model plane is 1/48 the size of the actual plane. If the model plane is 28 inches long, how long is the actual plane?

Mathematics
2 answers:
KIM [24]3 years ago
7 0
First, you would want to wright down on a separate sheet of paper 1\48 and 28 inches. then, you would want to find a common demonaitor and that would be 48 because 1 times 48 equales 48. next you subtract 1/48 and 28/48 witch would be 27/48 and your answer would be the actual plane is 27/48 long
Hoochie [10]3 years ago
3 0
I am not so sure because i have not studied this yet i am very sorry
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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
3 years ago
7+a+8+a= pls help pls help
Alina [70]

Answer:

15+2a

Step-by-step explanation:

7+a+8+a=15+2a

7 0
2 years ago
For every 4 minutes he runs, he walks for 5 minutes. Yesterday he walked for 35 minutes. How many minutes did he run?
Dominik [7]
35/5=7*4=28
he ran for 28 minutes
5 0
3 years ago
Solve –16t² +144= 0 to find the number of seconds, t, it takes for an object dropped from 144 ft above the ground to hit the gro
Vlad1618 [11]

Answer:

h(t) = -16t2 + 144

h(1) = -16(12) + 144 = 128 ft

h(2) = -16(22) + 144 = 80 ft

h(2) - h(1) = 80 - 128 = -48 ft

It fell 48 ft between t = 1 and t = 2 seconds.

It reaches the ground when h(t) = 0

0 = -16t2 + 144

t = √(144/16) s = 3s

It reaches the ground 3s after being dropped.

Step-by-step explanation:

6 0
2 years ago
Alvin is 11 years younger than Elga. The sum of their ages is 43. What is elgas age
Neporo4naja [7]

Answer:

16

Step-by-step explanation:

Lets assume x is Elgas' age

And y is Alvins age

we know that alvin is 11 years younger than Elga which means,

x=y+11

and the sum of their age is 43

x+y=43

solve it and you get 16

5 0
3 years ago
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