Is 0.124356 rational or irrational

A square lawn has an area of 1152 square feet. A sprinkler placed at the center of the lawn sprays a water in a circular pattern

oksano4ka [1.4K]

Answer:

The radius of the circle is 16.97 feet

Step-by-step explanation:

First, we will the determine the length of one the sides of the square lawn.

From the question,

The square lawn has an area of 1152 square feet,

Now, we can determine the length of a side of the square lawn from the formula,

$A = l^{2}$ ( Formula for Area of a square)

Where $A$ is the area of the square lawn

and $l$ is the length of a side of the square lawn

From the question, $A$ = 1152 square fee

Then,

$1152 = l^{2}$

$l^{2} = 1152\\l = \sqrt{1152}$

$l = 24\sqrt{2}$ feet or $33.94$ feet

This is the length of one of the sides of the square lawn.

From the description in the question, the sprinkler sprays water in a circular pattern that just covers the lawn,

If the circular pattern formed just covers the lawn,

then, the diameter of the circle equals the length of one of the sides of the square lawn, that is,

$l = d$

Where $d$ is the diameter of the circle

Hence, $d = 24\sqrt{2}$ feet

This is the diameter of the circle.

Now, for the radius of the circle,

From the relation between radius and diameter,

$Radius = \frac{Diameter}{2}$

Then,

$Radius = \frac{24\sqrt{2} }{2}$

$Radius = 12\sqrt{2}$ feet or $16.97$ feet

Hence, the radius of the circle is 16.97 feet

8 0

3 years ago

how is it possible for the expected value of a game to be losing 65 cents of the only outcomes are win $2 or lose $1

Stells [14]

Let x be the probability of winning and let y be the probability of losing. Then we can write the following equation:
2x - y = -0.65 ..............(1)
the sum of the probabilities of winning and losing must equal 1.
x + y = 1............(2)
Rearranging (2), gives:
y = 1 - x ............(3)
Plugging the expression for y from (3) into (1), we get:
2x - 1 + x = -0.65
which simplifies to:
3x = 0.35
Therefore x = 0.117 and y = 0.883.
The expected value of the game will be a loss of 65 cents if the probability of winning is 0.117 and the probability of losing is 0.883.

4 0

3 years ago

4/8 plus 16 equals 24

Anestetic [448]

4/8+16=24? im confused on this statement

5 0

3 years ago

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mariarad [96]

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3 0