What percent represents the probability that the spinner will stop on a yellow section?

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

What is the area of LMN

irakobra [83]

4 square units.

The easiest way to find this is by looking at the triangle as if NL was the base. In this case PM would be the height. Since a triangle is the same shape even when we move it or rotate it, this is a common strategy to finding areas when the direction is tough for us.

Now that we have this we can measure the lengths of the base and height and use them in the triangle area formula.

Base = 4

Height = 2

Area of a triangle = 1/2bh

Area of a triangle = 1/2(4)(2)

Area of a triangle = 2(2)

Area of a triangle = 4

8 0

3 years ago

What is the answer too 5(-14+10)-23=

Anna35 [415]

Answer:

=-43

Step-by-step explanation:

=(5)(−4)−23

=−20−23

=−43

7 0

3 years ago

What is the reference angle for 202 degrees

hammer [34]

Answer: 22 degrees

Step-by-step explanation:

Since the angle 180° is in the third quadrant, subtract 180° from 202°.

5 0

2 years ago

The histogram represents the time it takes employees to get to work each morning.

Archy [21]

Answer:

The answer is C. The data is skewed right because the time it takes employees to get to work tails off to the right.

Step-by-step explanation

6 0

3 years ago

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