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Aleksandr [31]
3 years ago
8

The spray from a sprinkler reaches 21 feet from the sprinkler and creates a circle as it spins. what is the circumference of the

circle sprayed by the sprinkler? use 227 for π.
Mathematics
2 answers:
dusya [7]3 years ago
7 0
The formula for circumference is C = 2<span>πr.

We already know that the radius of the circle is 21 feet, so let's plug that into the equation.
C = 2</span><span>π(21)
Now let's simplify
C = 6.28(21)
C = 131.9

131.9 is your circumference.</span>
AysviL [449]3 years ago
7 0

Answer:

The answer like he said is 131.9 but round it to the nearest tenth will be 132 ^^

Step-by-step explanation:

You might be interested in
Solve for y.
k0ka [10]

Answer:

y = \frac{2}{9}

Step-by-step explanation:

multiply \frac{2}{3} by \frac{3}{3} to get \frac{6}{9}:

\frac{6}{9} + y - \frac{1}{9} = \frac{7}{9}

simplify:

y + \frac{5}{9} = \frac{7}{9}

subract \frac{5}{9} from both sides:

y = \frac{2}{9}

3 0
3 years ago
I have corner points of:
WARRIOR [948]
The points you found are the vertices of the feasible region. I agree with the first three points you got. However, the last point should be (25/11, 35/11). This point is at the of the intersection of the two lines 8x-y = 15 and 3x+y = 10

So the four vertex points are:
(1,9)
(1,7)
(3,9)
(25/11, 35/11)

Plug each of those points, one at a time, into the objective function z = 7x+2y. The goal is to find the largest value of z

------------------

Plug in (x,y) = (1,9)
z = 7x+2y
z = 7(1)+2(9)
z = 7+18
z = 25
We'll use this value later. 
So let's call it A. Let A = 25

Plug in (x,y) = (1,7)
z = 7x+2y
z = 7(1)+2(7)
z = 7+14
z = 21
Call this value B = 21 so we can refer to it later

Plug in (x,y) = (3,9)
z = 7x+2y
z = 7(3)+2(9)
z = 21+18
z = 39
Let C = 39 so we can use it later

Finally, plug in (x,y) = (25/11, 35/11)
z = 7x+2y
z = 7(25/11)+2(35/11)
z = 175/11 + 70/11
z = 245/11
z = 22.2727 which is approximate
Let D = 22.2727

------------------

In summary, we found
A = 25
B = 21
C = 39
D = 22.2727

The value C = 39 is the largest of the four results. This value corresponded to (x,y) = (3,9)

Therefore the max value of z is z = 39 and it happens when (x,y) = (3,9)

------------------

Final Answer: 39

7 0
3 years ago
A video game arcade offers a yearly membership with reduced rates for game play. A single membership costs $60 per year. Game to
Nastasia [14]

Let

x-------> the number of game tokens purchased for a member of the arcade

y-------> the function of the yearly cost in dollars

we know that

the function y of the yearly cost in dollars is equal to

y =\frac{1}{10} x +60

This is the equation of the line

using a graph tool

see the attached figure

<u>Statements</u>

<u>case a)</u> The slope of the function is $1.00

The statement is False

The slope of the function is equal to \frac{1}{10} \frac{\$}{tokens}

<u>case b)</u> The y-intercept of the function is $60

The statement is True

we know that

The y-intercept of the function is the value of the function when the value of x is equal to zero

so

for x=0

y =\frac{1}{10}*0 +60

y =\$60

<u>case c)</u> The function can be represented by the equation y =(1/10)x + 60

The statement is True

The equation of the function is equal to y =\frac{1}{10} x +60

<u>case d)</u> The domain is all real numbers

The statement is False

The value of x cannot be negative, therefore the domain is the interval

[0,∞)

<u>case e)</u> The range is {y| y ≥ 60}

The statement is True

The range of the function is the interval-------> [60,∞)

see the attached figure

8 0
3 years ago
Read 2 more answers
Use the Fundamental Counting Principle to find the total number of possible outcomes.
krok68 [10]

Answer:

gfhcfgjcfgjdfgjvhjvhkftfhcyjftyjvjftykftyvgjcgjfyfg gjvvgvggvgvhjvhvg

Step-by-step explanation:

vgjkcgyjvghj vhjvjvhvhjvhjvghjghjvghjvhjhvgghvghvhvhvhvhjvghjvghjvh .jvghvghj gj vjvhjvhjv .v .hvhjvhjvhvb vh vv bhjvb f  

4 0
3 years ago
Simplify using order of operations 9 divided by 3 + 4 times 3 divided by 6
Alchen [17]

Answer:

5

Step-by-step explanation:

1. \: 3 + 4 \times 3 \div 6 \\ 2. \: 3 + 12 \div 6 \\ 3. \: 3 + 2 \\ 4. \: 5

7 0
3 years ago
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