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Zarrin [17]
2 years ago
10

A square patio has a area of 215 square feet. how long is each side of the patio to the nearest 0.05

Mathematics
1 answer:
Vanyuwa [196]2 years ago
8 0

A square has all 4 sides the same.

When given the area of a square , you can find the length of the side by finding the square root of the area:


Side length = √215

Side Length = 14.6628

Rounding to the nearest 0.05 would = 14.65 feet.

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Inverse functions ?????
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Answer:

In mathematics, an inverse function is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, i.e., f(x) = y if and only if g = x.

7 0
3 years ago
The shape of f(x) = √ x, but shifted nine units to the left and then reflected in both the x-axis and the y-axis
mr_godi [17]

Answer:

  g(x) = -√(-x +9)

Step-by-step explanation:

The relevant transformations are ...

  • f(x -h) . . . . . shifts the graph of f(x) right h units
  • f(x) +k . . . . . shifts the graph of f(x) up k units
  • -f(x) . . . . . . . reflects the graph of f(x) over the x-axis
  • f(-x) . . . . . . . reflects the graph of f(x) over the y-axis

<h3>Application</h3>

Applying the transformations in the specified order, we have ...

  f(x) = √x

  f(x +9) = √(x +9) . . . . . . . shifted 9 units to the left

  -f(x +9) = -√(x +9) . . . . . . shifted 9 left, reflected in the x-axis

  -f(-x +9) = -√(-x +9) . . . . shifted 9 left, reflected in x-axis, reflected in y-axis

The shifted, reflected function is ...

  g(x) =  -√(-x +9)

__

<em>Additional comment</em>

The graph shows the original f(x) = √x function in red. The shifted, reflected function is shown in blue. Note that the initial left shift changes appearance to a right shift when it is reflected over the y-axis.

6 0
1 year ago
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Step-by-step explanation:

1/20

5 0
3 years ago
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user100 [1]
X - the amount of money collected by Aiden
y - the amount of money collected by Jacob

Aiden and Jacob collected money in the ratio of 3.5 : 6.8.
\frac{x}{y}=\frac{3.5}{6.8} \\&#10;6.8x=3.5y \\&#10;x=\frac{3.5}{6.8}y \\ x=\frac{35}{68}y

Jacob collected $115.50 more than Aiden.
x+115.5=y \\&#10;x=y-115.5 \\ \\&#10;x=x \\&#10;\frac{35}{68}y=y-115.5 \\&#10;\frac{35}{68}y-y=-115.5 \\&#10;\frac{35}{68}y-\frac{68}{68}y=-115.5 \\&#10;-\frac{33}{68}y=-115.5 \\&#10;y=-115.5 \times (-\frac{68}{33}) \\&#10;y=238 \\ \\&#10;x=y-115.5=238-115.5=122.5 \\ \\&#10;x+y=238+122.5=360.5

The total amount of money they collected is $360.50.
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Answer: The probability would be 1/3.

Step-by-step explanation:

8 0
3 years ago
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