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Nady [450]
3 years ago
6

A 360 degree rotating sprinkler that sprays water at a radius of 11 feet is used to water a lawn. What is the Area of the lawn t

hat is watered by this sprinkler ?
Mathematics
1 answer:
denpristay [2]3 years ago
5 0

Answer:

Area=121\pi ft^2 in terms of \pi.

Step-by-step explanation:

A 360 degree rotating sprinkler will water a full circular region of the lawn.

The area of this circular region is calculated using the formula:

Area=\pi r^2

where r=11 feet is the radius of the circular region covered.

We substitute the value of the radius into the formula to get:

Area=\pi \times 11^2

Area=121\pi ft^2 in terms of \pi.

This is approximately 380.1 ft^2 to the nearest tenth

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In a lab, a substance was heated by 48 Degrees Celsius over a period of 8 hours at a constant rate. what was the change in tempe
galben [10]

Answer: The change in temperature each hour was 6 degrees celsius.

Step-by-step explanation: 48 divided by 8 = 6

4 0
3 years ago
a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form
lianna [129]

Answer:

The perimeter of the garden, in meters, is 24\sqrt{2}

Step-by-step explanation:

Diagonal of a square:

The diagonal of a square is found applying the Pythagorean Theorem.

The diagonal of the square is the hypothenuse, while we have two sides.

Diagonal of 12m:

This means that d = 12, side s. So

s^2 + s^2 = 12^2

2s^2 = 144

s^2 = \frac{144}{2}

s^2 = 72

s = \sqrt{72}

Factoring 72:

Factoring 72 into prime factors, we have that:

72|2

36|2

18|2

9|3

3|3

1

So

72 = 2^{3}*3^{2}

So, in simplest radical form:

s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}

Perimeter of the garden:

The perimeter of a square with side of s units is given by:

P = 4s

In this question, since s = 6\sqrt{2}

P = 4s = 4*6\sqrt{2} = 24\sqrt{2}

The perimeter of the garden, in meters, is 24\sqrt{2}

5 0
3 years ago
Which statement is correct?
MakcuM [25]

Answer:

the third 1

Step-by-step explanation:

3 0
3 years ago
What is the size of an interior angle of a regular hexagon
MArishka [77]

Answer:

120 degrees

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Leslie made a chocolate milkshake in the blender for her daughter milkshake occupies just a little more than 50 in.³ of space in
Butoxors [25]

Answer:

Glass A is too small, Glass B is large enough and Glass C is too small ....

Step-by-step explanation:

Glasses are cylindrical in shape. Thus the formula is:

V = π r² h

For Glass A:

r = d/2 = 3.5/2

r = 1.75

h = 4 inches

Now substitute the values in the formula:

V= 3.14*(1.75)^2 * 4

V= 3.14*3.0625*4

V= 38.465 in.³ < 50in.³

For Glass B:

V = π r² h

where h = 5 inches

r = 1.9 inches

Plug the values in the formula:

V=3.14*(1.9)^2*5

V= 56.677 in³ > 50in³

For Glass C:

V = π r² h

where h=6 inches

r = 1.5 inches

Plug the values in the formula:

V= 3.14*(1.5)^2*6

V= 42.39 in³ < 50 in³

Therefore Glass A is too small, Glass B is large enough and Glass C is too small ....

4 0
3 years ago
Read 2 more answers
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