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Troyanec [42]
2 years ago
12

A spray irrigation system waters a section of a farmer’s field. If the water shoots a distance of 85 feet, what is the area that

is watered as the sprinkler rotates through an angle of 60 degrees? Use 3.14 for pi . Round your answer to the nearest square foot, and enter the number only.
Mathematics
1 answer:
gtnhenbr [62]2 years ago
7 0

Answer:

3,781

Step-by-step explanation:

To solve this problem, we will find the area of the whole circle and use that to find teh area of the 60º section.

First, recognize the formula for the area of a circle:

A = 3.14r^{2}

In this scenario, the radius (<em>r</em>) is 85 feet:

A = 3.14(85)^{2}

A circle is 360º and we only require the area of 60º. 360º / 60º = 6 so we will divide by 6:

A = \frac{3.14(85)^{2} }{6}

Finally, we will simplify and round:

A = 3,781

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On a Sunday night, there are four people on a bus. The bus has five stops left before it end sits route. Suppose each person wil
allochka39001 [22]

There are two possible outcomes of this experiment either success p or failure q. It has a given number of trials and all trials are independent therefore it is<u><em> binomial probability distribution.</em></u>

1-  5 ways

2- 5/16

3- 1/16

4- 1/16

In the question given above n= 5 p =1/2 q= 1/2  r is the given point.

  1. <u>Part 1:</u>

The number of ways in which different people get off the bus can be calculated using combinations since the order is not essential. Therefore

nCr= 5C4= 5 ways

<u>2. Part 2:</u>

The probability that all four people get off the bus on the first stop is given by :

P (x= 1)= 5C1 (1/2)^0(1/2)^4= 5(1/2)^4= 5/16

<u>3. Part 3:-</u> The probability that all four people get off the bus on the same stop.

P (x= x)= 5C5 (1/2)^0(1/2)^4= 1(1/2)^4= 1/16

<u>4. Part 4-</u> The probability that <u><em>exactly three of the four</em></u> people get off the bus on the same stop.

P (x= x)= 5C5 (1/2)^3(1/2)^1= 1(1/2)^4= 1/16

For binomial distribution click

brainly.com/question/15246027

brainly.com/question/13542338

3 0
2 years ago
PLEASEEEE HELP MEEEEEEEEEE
umka21 [38]
Answer:
should be A. 5x+2
7 0
3 years ago
If you buy tomato sauce for $.90 a quart how much does it cost for 5 pints
Dima020 [189]
<h2>Hello!</h2>

The answer is: the price of 5 pints of tomato sauce is $2.25.

<h2>Why?</h2>

To calculate how much does it cost 5 pints, we need to perform a unit conversion with the following  unit relationship:

0.5Quart=Pints

Now, calculating how much is a pint:

\frac{0.9}{quarter}*\frac{0.5Quart}{1Pint}=0.45

A pint is $0.45.

Then, calculating how much are 5 pints:

Price=0.45*NoOfPints=0.45*5=2.25

Hence, the price of 5 pints of tomato sauce is $2.25.

Have a nice day!

8 0
3 years ago
PLEASE SOMEONE HELP ME WITH THESE QUESTIONS I'VE BEEN STUCK ON HERE FOR SO LONG​
Neporo4naja [7]

Answer:

# means number

Step-by-step explanation:

Distance = Y-axis or output

Cost= X-axis or input

you do not need to add the brackets for the formula(BEDMAS), but it makes things clearer

For A -

the Y-intercept is where the first coordinate, or the # or the X-axis, is 0 (on the graph the y-intercept 0,4)

For B -

y = mx + b

m =  slope

x = input or # on the X-axis

b = y-intercept

or

formula = (input x increase in the slope) + output for 0 or (distance x increase in cost) + output for 0

input(x axis)         output(y axis)

0                 5    ← output for 0

1                  9  

2                 13

there is a +4 increase in the slope, the increase in the slope is an output #(in this case 9) - the previous output number (in this case 5)

formula = (input x increase in the slope) + output for 0 = distance

formula in use = (3 x 4) + 5 = 17

For C:

The dependent variable is the output or the cost because the input or the distance will determine the cost travelled. Eg. if I travel 9 miles it will cost $41. If the dependent variable is the cost then the independent variable is the distance

For D: (input x increase in the slope) + output for 0

(4.2 miles x $4) + 5

16.8 + 5 = $21.8; It will cost $21.8 to travel 4.2miles

For E: (distance x increase in cost) + output for 0

(? x 4) + 5 = 14

(14 - 5) = 9

9 ÷ 4 = 2.25miles; with 14 dollars I could travel 2.25 miles

(It is a bit confusing lol, but this is the way I understand it, if you can't understand it this way then use y = mx + b)

4 0
2 years ago
Does x=3 make the equation 5x-3=12 true or false?
Kamila [148]
It would be false :)!
3 0
3 years ago
Read 2 more answers
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