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Temka [501]
3 years ago
5

A square has an area of 4 ft^2 what is the lenght of each side

Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0

area of square = 4ft²

a s area of square = length×lenght

let lenght =x

so area = x²

x²= 4ft²

taking square root

x=2 ftSo lebght of each side is 2 ft.

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A normal distribution has a mean of 60 and a standard deviation of 2. Determine the z-
a_sh-v [17]

Answer: z score is -19

Work Shown:

x = 22 is the raw score

mu = 60 is the mean

sigma = 2 is the standard deviation

z = (x-mu)/sigma = formula to find z scores

z = (22 - 60)/2

z = -38/2

z = -19

The z score of -19 means we are 19 standard deviations below the mean. Anything beyond 3 standard deviations is often considered unusual/rare as most of the data in the normal distribution is within 3 standard deviations (approximately 99.7% of the distribution)

6 0
3 years ago
Write an equation to represent the problem, be sure to explain the meaning of any variables you use, Jaden dog was 5 and a half
kirill115 [55]

Answer:

The dog is 20 inches tall now.

Step-by-step explanation:

Given that:

Height of dog when it was a puppy = 5\frac{1}{2} inches

Height of dos now = 14\frac{1}{2} than previous height

It means that we will add this height in the height of dog when it was a puppy.

Height of dog now = 5\frac{1}{2}+14\frac{1}{2}

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Height of dog = 20 inches

Hence,

The dog is 20 inches tall now.

7 0
3 years ago
A barrel had 20 liters of water. Water leaked out from the barrel at a constant rate. After 24 hours, 14 liters of water was lef
SpyIntel [72]
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7 0
4 years ago
Use the squared identities to simplify 2sin^2xsin^2x​
nataly862011 [7]

Answer:

option A  

Step-by-step explanation:

cos(4x) = cos(2x+2x) = cos(2x)*cos(2x) - sin(2x)*sin(2x)

cos(4x) = cos^2(2x) - sin^2(2x)

cos(4x) = cos^2(2x) - cos^2(2x) - 1     (using cos^2(2x) + sin^2(2x) = 1)

cos(4x) = 2cos^2(2x) - 1   (eq. 1)

cos(2x) = cos(x+x) = cos(x)*cos(x) - sin(x)*sin(x)

cos(2x) = cos^2(x) - sin^2(x)

cos(2x) = 1 - sin^2(x) - sin^2(x)     (using cos^2(x) + sin^2(x) = 1)

cos(2x) =  1 - 2sin^2(x)    (eq. 2)

Replacing eq. 2 into eq. 1:

cos(4x) = 2[1 - 2sin^2(x)]^2 - 1

cos(4x) = 2[1 - 4sin^2(x) + 4sin^4(x)] - 1

cos(4x) = 1 - 8sin^2(x) + 8sin^4(x)

cos(4x) - 1 + 8sin^2(x) = 8sin^4(x)

cos(4x)/4 - 1/4 + 2sin^2(x) = 2sin^4(x)

2sin^2(x)sin^2(x)​ = 2sin^4(x) = cos(4x)/4 - 1/4 + 2sin^2(x)

Using eq. 2:

2sin^2(x)sin^2(x)​ = cos(4x)/4 - 1/4 + 1 - cos(2x)

2sin^2(x)sin^2(x)​ = cos(4x)/4 + 3/4 - 4cos(2x)/4

2sin^2(x)sin^2(x)​ = [3 + cos(4x) - 4cos(2x)]/4

7 0
3 years ago
What is the answer to b plus 4 does it remain he same or it becomes fiveb
elena-14-01-66 [18.8K]

Answer:

it remains the same because you can only add like terms, and in this case, b and 4 are not like terms.

Step-by-step explanation:

4 0
3 years ago
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