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garik1379 [7]
3 years ago
6

7. Which dimensions result in the minimum perimeter for a rectangle with area 42.0 cm2?

Mathematics
1 answer:
natali 33 [55]3 years ago
8 0

9514 1404 393

Answer:

  7. d. l = 6.48 cm, w = 6.48 cm

  8. d. square

Step-by-step explanation:

For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.

__

7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.

__

8. In light of the above, the shape is a square.

_____

The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.

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Elden [556K]

Answer:

4

Step-by-step explanation:

5 0
3 years ago
A bar of gold has a volume of 722 cubic centimeters and weighs 13.949 kilograms. What's its density in grams per cubic centimete
Ahat [919]

Answer:

The density of the  bar of gold is  19.32 grams per cubic centimeter .

Step-by-step explanation:

Formula

Density = \frac{Mass}{Volume}

As given

A bar of gold has a volume of 722 cubic centimeters and weighs 13.949 kilograms.

As 1 kilogram = 1000 gram

Than convert 13.949 kilograms into grams.

13.949 kilograms = 13.949 × 1000 grams

                             = 13949 grams

Mass = 13949 grams

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As put in the formula

Density = \frac{13949}{722}

Density = 19.32 grams per cubic centimeter (Approx)

Therefore the density of the  bar of gold is  19.32 grams per cubic centimeter .


8 0
3 years ago
After school, Hugo helps out at a bunny shelter called Hoppy's Home. He cleans cages and feeds all 8 bunnies at the shelter. In
amm1812

Answer:

25.3

1_ draw a triangle

the shortest side is a which will be 8(bunnies)

diagonal will be c ( what you need to find )

the last side will be b.

so the equation is a2+b2=c2 ( 2=squared)

that means..... 8x8+24x24=c

8x8=64

24x24=576

then add

576+64=640

the find square root

√640=25.2982212813

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you know your answer is correct because c is always the biggest side

5 0
3 years ago
I Need HelpAsap please I will mark you brainlist
Arada [10]

Answer:

a. 72 inches

b. 21.3 inches

Step-by-step explanation:

12:27

a. 32 inches in height

32/x = 12/27

Set these fractions equal to each other

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12 times 2.6(repeating decimal) equals 32

So to find the width do 2.666... time 27 and you get 72 inches.

---------------------------------------------------------------------------

b. 48 inches in width

Again set the fractions equal to each other.

x/48 = 12/27

48 divided by 27 equals 1.77777....

To get height, do 1.77777.... times 12 and you get 21.3333333

But since it is to the nearest tenth, you get 21.3 inches

Hope that helps!

5 0
3 years ago
A slide 4.1 meters long makes an angle of 35 degrees with the ground. To the nearest tenth of a meter, how far above the ground
scZoUnD [109]

Answer:

hope it helped

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7 0
3 years ago
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