1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Brilliant_brown [7]
3 years ago
12

A water sprinkler has a range of 5 meters as shown. The jet of water from the sprinkler sweeps out at an angle of 85° as the noz

zle turns. What is the area watered by the sprinkler? Use the value π = 3.14, and round your answer to one decimal place.

Mathematics
1 answer:
damaskus [11]3 years ago
3 0

Take a look at the attachment below. It may help!

With this sector we can create a proportion to find the area watered by the sprinkler. 85 degrees over a total 360 degrees would be simplified to the following -

17 / 72 = ( About ) 4.235

Thus, we can calculate the area of the circle with a range of 5 meters radius, and divide by about 4.235 to receive the area watered by the sprinkler, or the area of the sector -

Area( Full Circle ) = \pi r^2,\\Area( Full Circle ) = \pi * ( 5 )^2,\\Area( Full Circle ) = 25\pi,\\\\Area( Full Circle ) = ( About ) 78.5

__________________________

Area( Watered By Sprinkler ) / Area( Sector ) = 78.5 / 4.235,\\Area( Watered By Sprinkler ) / Area( Sector ) = ( About ) 18.5

<u><em>The solution should be about 18.5 meters^2</em></u>

You might be interested in
Suppose total benefits and total costs are given by b(y) = 100y − 8y2 and c(y) = 10y2. what is the maximum level of net benefits
olga nikolaevna [1]
Whenever you face the problem that deals with maxima or minima you should keep in mind that minima/maxima of a function is always a point where it's derivative is equal to zero.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).

B(y)=b-c
B(y)=100y-18y²

Now that we have a net benefits function we need find it's derivate with respect to y.

\frac{dB(y)}{dy} =100-36y

Now we must find at which point this function is equal to zero.

0=100-36y
36y=100
y=2.8

Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.

B(2.8)=100(2.8)-18(2.8)²=138.88≈139.

One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.


3 0
3 years ago
Which equation can be used to solve the matrix equation [1/2 -1/4 2 3/4] [x y] = [2 -4 1 6]​
Musya8 [376]

Answer:

Use a matrix equation to solve the system of linear equations: -2x + 4y= 2, -3x+7y=7 *

7 0
3 years ago
Read 2 more answers
State the excluded values for each? 70v^2/100v
sleet_krkn [62]
Ok so any number tat makes the denomenator 0 or makes the inside of a square root negative is restricted
we only have a denomenaor so
100v=0
v=0
therefor 0 is the excluded value since 0/0 doesn't make sense

6 0
3 years ago
What is the difference for -22 - (-26)​
Alenkasestr [34]

Answer:

4

Step-by-step explanation:

8 0
3 years ago
Can some one help me match these ?
Anastaziya [24]
This is the order....

8 0
3 years ago
Other questions:
  • Which is the larger amount? 3/4 of a dollar or 8/10 of a dollar
    11·2 answers
  • What is 3/5s of 75 ???????????????????????????
    13·2 answers
  • Can someone please help this is due tonight!!
    11·1 answer
  • If a || b and m&lt;3 = 75, find m&lt;5.
    15·1 answer
  • What single percentage change is equivalent to a 13% decrease followed by a 19% decrease?​
    14·1 answer
  • How does decreasing the sample size affect the margin of​ error, E?
    10·2 answers
  • PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    6·1 answer
  • The pattern on a rug is made up of hexagons, as shown below. What is the value of x?
    10·2 answers
  • What is the equation of the line that passes through the point (8,-8)(8,−8) and has a slope of -1/4?
    8·1 answer
  • One restaurant sells a family meal for $22 plus $2 per drink.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!