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Leona [35]
2 years ago
6

A square has sides that measure 6 inches each. What is the ratio of the perimeter of the square to the area of the square?

Mathematics
1 answer:
oksian1 [2.3K]2 years ago
5 0

Answer:

2 : 3

Step-by-step explanation:

Given the square has a side of 6 in , then

perimeter = 4 × 6 = 24 in

area = 6² = 36 in²

Then ratio of perimeter : area

= 24 : 36 ( divide both parts by 12 )

= 2 : 3

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Step-by-step explanation:

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3 years ago
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3 years ago
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Carlos jogged 5 laps around the school track in 8 minutes. What was his average speed in laps per minute? lap(s) per minute PLEA
aleksklad [387]

Answer:

To solve this problem, you would create two ratios and make them equal to each other, both representing laps:minute or laps/minute! With that being said, laps will be in the numerator, or on top, and minutes will be in the denominator, or the bottom! The first ratio, which we know from the problem, will be 5/8. In order to write the second ratio, we need to come up with something to put in place for what we're solving for. I like to use x. So, we need to find how many laps (x) are run in 1 minute. Remember, laps are on top and minutes are on the bottom. The second ratio would look like x/1. Then we make them equal to each other -> 5/8=x/1. You would then solve this equation by multiplying the right side of the equation by the reciprocal of the denominator! So, it would be 1/1(5/8)=x. Because then multiple the numerators and the denominators -> 1(5)=5 and 1(8)=8! This makes the equation turn into x=5/8! Because x equals the number of laps run in one minute, we can say that Ricky ran 5/8 of a lap in one minute or 0.625 laps in one minute!

Step-by-step explanation:

5 0
3 years ago
A sewing machine sews at a constant rate of 1,500 stitches per minute. If the equation, y = 1,500x represents the relationship b
crimeas [40]

Answer:

Step-by-step explanation:

x is the independent variable. y is the dependent variable.

5 0
3 years ago
A cylinder with a radius of 12cm and a height of 20cm has the same volume as a cone with a radius of 8cm. What is the height of
ivanzaharov [21]

Answer: 135cm

Step-by-step explanation

Volume of a cylinder = πr²h

Volume of a cone. = 1/3πr²h

The two shapes are both solid shapes.

Since the have same volume, we can then equate the two together and solve for the height of the cone.

Now make H the height and R the radius of the cylinder and h the height and r the radius of the cylinder.

Now equating the two

πR²H = 1/3πr²h

Now substitute for the values now

Multiply through by 3

3πR²H = πr²h

But π is common so it could be obliterated from the equation

3R²H = r²h

3 x 12² x 20 = 8² x h

3 x 144 x 20 = 64 x h

60 x 144 = 64h

8640. = 64h

Therefore

h = 8640/64

= 135cm

8 0
3 years ago
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