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Arisa [49]
3 years ago
12

The perimeter of the square kitchen floor measures 48 feet. What is the area of the kitchen floor? A. 32 feet B. 96 square feet

C. 144 square feet D. 144 cubic feet
Mathematics
1 answer:
exis [7]3 years ago
4 0

Answer:

C. 144 square feet

Step-by-step explanation:

step 1

we know that

The perimeter of a square is given by the formula

P=4a

where

P is the perimeter

a is the length side of the square

we have

p=48\ ft

substitute in the formula

48=4a

solve for a

divide both sides by 4

a=12\ ft

step 2

Find the area

The area of a square is given by the formula

A=a^2

we have

a=12\ ft

substitute

A=12^2=144\ ft^2

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What is congruent of a triangle
Korvikt [17]

Answer:

When two triangles have the exact 3 sides and the same 3 angles

Step-by-step explanation:

In geometry, triangles are congruent when the have the exact same 3 sides and the exact same 3 angles. They can be flipped or reflected, they just have to have same sides and angles

4 0
3 years ago
What are all prime numbers x which:<br> x&lt;10
ivanzaharov [21]

Answer:

5,7,3,2

Step-by-step explanation:

It's pretty simple: a prime number is a number that can *only* be divided by the number 1 and it's own.

I just checked all the numbers from 1 to 10 in order to solve this problem.

If you have any questions about the way I solved it, don't hesitate to ask!

8 0
3 years ago
Considering the number of questions incorrect from classmates on a quiz {10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19,
IrinaK [193]

Answer:

According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02

Step-by-step explanation:

We are given the following data in the question:

10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19, 20

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{225}{15} = 15

Sum of squares of differences = 25 + 16 + 9 + 4 + 4+ 4 + 1 + 0+ 1+ 1 + 4 + 9 + 9+ 16 + 25 = 128

S.D = \sqrt{\dfrac{128}{14}} = 3.02

Empirical rule:

  • According to this rule almost all the data lies within three standard deviation of the mean for a normal distribution.
  • About 68% of data lies within one standard deviation of the mean.
  • About 95% of data lies within two standard deviations of mean.
  • Arround 99.7% of data lies within three standard deviation of mean.

Thus, by empirical rule,

\mu \pm 1\sigma = 15\pm (3.02) = (11.98,18.02)

According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02

5 0
3 years ago
Expressions  with mixed operations Evaluate.<br> 2.3+3.7-2/27.5-4*5.625
masya89 [10]
2.3+3.7-2/27.5-4*5.625. use pedmas.
=appromaxietly -16.57

5 0
3 years ago
What is a simplified expression for the perimeter of the polygon?
serious [3.7K]

Answer:

D. 5x^2 + 2y^2 + 12x + 5y

Step-by-step explanation:

6x + 2y + y^2 + 6x + 2y + y^2 + 4x^2 + x^2 + y

6x + 6x = 12x

12x + 2y + y^2 + 2y  + y^2 + 4x^2 + x^2 + y

2y + 2y + y = 5y

12x + 5y + y^2 + y^2 + 4x^2 + x^2

y^2 + y^2 = 2y^2

2y^2 + 4x^2 + x^2 + 12x + 5y

4x^2 + x^2 = 5x^2

2y^2 + 5x^2  + 12x + 5y

5x^2 + 2y^2 + 12x + 5y

7 0
3 years ago
Read 2 more answers
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