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MAVERICK [17]
3 years ago
8

a sprinkler that sprays water in a circular area can be adjusted to spray up to 30 feet. turning the radius-reduction screw on t

he top of the nozzle lets people the radius by up to 25 percent. to the nearest tenth, what is the maximum area of lawn that can be watered by the sprinkler if the radius-reduction is used at full capacity.
Mathematics
2 answers:
Dominik [7]3 years ago
5 0

Answer: 1590.4 square feet

Step-by-step explanation:

Given: The radius of the circular area = 30 feet

Now, 25% of the radius = 0.25\times30=7.5 feet

If the we reduce the radius by 25%, then the radius of the circular area =

30-7.5=22.5\text{ feet}

Now, the circular area of the spray is given by :-

\text{Area}=\pi r^2\\\\\Rightarrow\text{ Area}=(3.143.141592653)(22.5)^2\\\\\Rightarrow\text{ Area}=1590.43128088\approx1590.4\text{ ft}^2

Therefore, the maximum area of lawn that can be watered by the sprinkler if the radius-reduction is used at full capacity = 1590.4 square feet.

Zarrin [17]3 years ago
4 0

Answer:

1590.4 square ft

Step-by-step explanation:

r=30 so you need to multiply that by 25% (30*.25=7.5)

30-7.5=22.5

A= pi(r)^2

A=pi*(22.5)^2

A=506.25pi

A=1590.43 or 1590.4 (to the nearest tenth)

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The frequency distribution shows the number of registered motor vehicles for a random sample of 200 California households.
erastovalidia [21]

Answer:

1). Mean = 2.275

2). Median = 2 vehicles

Step-by-step explanation:

From the given table,

Number of vehicles (x)         Frequency (f)      (f)×(x)             Cumulative freq.

                  0                                    11                  0                           11

                  1                                     52                52                        63

                  2                                    66                132                      129

                  3                                    35                105                      164

                  4                                    19                  76                       183

                  5                                    12                  60                       195

                  6                                     5                  30                       200

                                                                          \sum (f\times x) = 455

Number of households = 200

Mean = \sum \frac{f.x}{n}

          = \frac{455}{200}

         = 2.275

Median = value of \frac{(n+1)}{2}th observation

             = value of \frac{201}{2}th observation

             = Value of 100.5th observation

             = Since 100.5th observation lies in the row of cumulative freq. = 129

             = 2

Therefore, median number of registered vehicles per California household

= 2 vehicles

6 0
3 years ago
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notsponge [240]
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5 0
3 years ago
Find the slope-intercept equation of the line containing (1.-4) and having slope m = 3​
gulaghasi [49]

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3 years ago
A homeowner uses a $10 bill to pay a neighbor for cutting his lawn. The
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Answer:

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3 years ago
A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 18 feet mor
Aleksandr [31]

Answer:

42 ft, 60 ft, 84 ft

Step-by-step explanation:

let x be the shortest side , then the other 2 sides are 2x and x + 18, so

x + 2x + x + 18 = 186 , that is

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4x = 168 ( divide both sides by 4 )

x = 42

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2x = 2 × 42 = 84 ft

x + 18 = 42 + 18 = 60 ft

8 0
3 years ago
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