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3 years ago

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Mathematics

1 answer:

GarryVolchara [31]3 years ago

6 0

Answer:

The Answer is: 6 inches by 5 inches.

Step-by-step explanation:

Given: A structure that is 30 ft by 25 ft.

Scale: 3 in to 15 ft.

Or - Scale: 1 in to 5 ft.

Divide the sides by 5 to get how many 1" sections:

30 ft / 5 = 6 inches

25 ft / 5 = 5 inches

The sides of the drawing are 6 inches by 5 inches. This represents the 30 ft by 25 ft rectangle.

Hope this helps! Have an Awesome Day!! :-)

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Twice the sum of k and 9 is 4

Mademuasel [1]

Answer:

2(k + 9) = 4

Step-by-step explanation:

Use distributive property.

2 x k = 2k

2 x 9 = 18

Equation:

2k + 18 = 4

Subtract 18 from both sides

2k = -14

Divide both sides by 2

k = -7

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3 years ago

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Which label on the cone below represents the vertex?

Katyanochek1 [597]

Answer:

D is the correct answer

Step-by-step explanation

like u mentioned, D is the vertex and therefore it would be the correct answer

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4 years ago

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A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is

MAXImum [283]

Answer:

Width is 12 inches and height is 4 inches.

Step-by-step explanation:

Let the width of the piece of cardboard be = w inches

Then length is = $w+12$ inches

As given, 4 inch squares are cut from each corner;

So, the width is = $w-8$ inches

Length is = $w+12-8=w+4$ inches

When we are folding the cut portion, that gives the height as = 4 inches

The volume is given by : length x width x height

And volume is given as 256 cubic inches

So, $256=(w+4)(w-8)(4)$

=> $256=(w^{2}-4w-32)4$

=> $64=(w^{2}-4w-32)$

=> $w^{2} -4w=96$

or $w^{2} -4w-96=0$

=> $w^{2} -12w+8w-96=0$

=> $w(w-12)+8(w-12)=0$

We get , $(w+8)=0$ ; w = -8(neglect the negative value)

$(w-12)=0$ ; w = 12 inches

And length = $12+12=24$ inches

Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches

We can check by putting these values in equation : $256=(w+4)(w-8)(4)$

$256=(12+4)(12-8)(4)$

=> $256=(16)(4)(4)$

=> $256=256$

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3 years ago

Lawrence drives the same distance monday through Friday commuting to and from work. Last week Lawrence drove 25 miles on the wee

alexira [117]

Answer:

60 - 25 = 35

35 / 7 = 5

Lawrence drives 5 miles each day commuting to and from work.

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4 years ago

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Which ordered pair that is a solution to the equation y = 12x + 15.

Lelechka [254]

Answer:

(1 , 27)

Step-by-step explanation:

The ordered pair (1 , 27) means:

x = 1

y = 27

Now putting value of x and y in given equation to check weather it satisfies:

y = 12x + 15.

27 = 12 (1) + 15

27 = 12 + 15

27 = 27

hence proved

I hope it will help you!

5 0

3 years ago