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KatRina [158]
3 years ago
6

Troy is building a rectangular garden that is 10 feet by 6 feet.What should be the length of the diagonals to ensure a 90 degree

angle?
Mathematics
2 answers:
qaws [65]3 years ago
4 0

Answer:

Length of the diagonals = 11.66 feet

Step-by-step explanation:

Troy is building a rectangular garden with dimensions 10 feet and 6 feet.

We have to calculate the length of the diagonals of the park to ensure a 90° angle.

As we know in a rectangle all angles are of 90° and both the diagonals are of same length.

Therefore by Pythagoras theorem we can find the diagonal of the rectangle.

Diagonal² = 10² + 6²

Diagonal = √(100+36) = √(136)

               = 11.66 feet

Therefore, length of the diagonals will be = 11.66 feet

mina [271]3 years ago
3 0
6^2 + 10^2 equals 11.67
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Answer:

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Answer:

g(x) = (-1/25)x + (203/25)

Step-by-step explanation:

The general equation for a line is slope-intercept form is:

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We know that perpendicular lines have opposite-signed, reciprocal slopes of the original line. Therefore, if the slope of f(x) is m = 25, the slope of g(x) must be m = (-1/25).

To find the y-intercept, we can use the newfound slope and the values from the given point to isolate "b".

g(x) = mx + b                                    <----- General equation

g(x) = (-1/25)x + b                             <----- Plug (-1/25) in "m"

8 = (-1/25)(3) + b                               <----- Plug in "x" and "y" from point

8 = (-3/25) + b                                  <----- Multiply (1/25) and 3

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203/25 = b                                      <----- Add (3/25) to both sides

Now that we know both the values of the slope and y-intercept, we can construct the equation of g(x).

g(x) = (-1/25)x + (203/25)

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Step-by-step explanation:

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