Answers
Answer:
x^2
Step-by-step explanation:
So there's very two obvious ones we can elimination immediately, that's f(x) = x, and f(x) = |x|. The reason for this is because we can just look at the first ordered pair of (-2, 4). If it was f(x) = x, then the ordered pair would be (-2, -2), but it isn't. Very similar reasoning for f(x) = |x|, except for this function each ordered pair should have the same magnitude or absolute value. So the f(-2) should output 2, since it's the absolute value, but of course this isn't the case since it's 4.
So let's look at 2^x
[tex]2^{-2} = \frac{1}{2^2} = \frac{1}{4}[/tex]
Since the y value is 4 and not 1/4, this is not the parent function
It should be the second option (x^2), and we can double check
(-2)^2 = 4
(-1)^2 = 1
(0)^2 = 0
(1)^2 = 1
(2)^2 = 4
It outputs the same y-values as the table so this is the parent function
Related Questions
300 high school students were asked how many hours of TV they watch
per day. The mean was 2 hours, with a standard deviation of 0.5. Using a
90% confidence level, calculate the maximum error of estimate.
Answers
Using the z-distribution, it is found that the maximum error of the estimate is of 0.0475 hours.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.The margin of error is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
For this problem, the values of the parameters are given as follows:
[tex]\sigma = 0.5, n = 300[/tex]
We have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.
Thus the maximum error of the estimate in hours is found as follows:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.645\frac{0.5}{\sqrt{300}}[/tex]
M = 0.0475 hours
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Answer:
4.75%
Step-by-step explanation:
Given: μ=z σ=0.5 ∩=300 CL=90%
Maximum error [tex]=Za/2*\frac{6}{\sqrt{n} } \\[/tex]
[tex]=1.645*\frac{0.5}{\sqrt{300} } \\=0.0475\\[/tex]
= 4.75%
Three friends decide to go out to eat, and then go shopping. if there are 5 local restaurants and 4 good stores for shopping, how many possibilities are there for their big night out
Answers
Using the Fundamental Counting Theorem, there are 20 possibilities for their big night out.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
For this problem, we have that:
There are 5 restaurants, hence [tex]n_1 = 5[/tex].There are 4 stores, hence [tex]n_2 = 4[/tex].The number of possibilities is given by:
N = 5 x 4 = 20.
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Solve x in the equation 3x=2
Answers
❄ Hi there,
let us first figure out what we need to do to find x in this equation.
Since x is
multiplied by 3we will
divide by 3In other words we'll do just the opposite.
[tex]\sf{3x=2}\\\sf{x=\dfrac{2}{3}}[/tex]
That's it!
❄
X
-3
-1
1
3
f(x) = -x + 7
f(x)
8
2323
20
6
Determine the input that would give an output value of
W/N!
2
X=
=-3x+7
Answers
Answer: 19
Step-by-step explanation:
Multiplying both sides of the equation by [tex]-3[/tex] gives that [tex]x=19[/tex].
In mr. wilson's geometry class, 12 of the students received a's and 20 received b's. in his statistics class, 11 of the students got a's and 15 got b's. in which class did mr. wilson's students earn a higher ratio of a's to b's? a. statistics b. neither, the ratios are equivalent c. geometry d. not enough information
Answers
In (A) statistics class Wilson's students earn a higher ratio of a's to b's.
What are ratios?A ratio in mathematics describes how many times one number contains another. For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.To find the higher ratio:
Given -
Geometry class = a:b = 12:20 = 3:5Statistics class = a:b = 11:15As we can observe that 3:5 < 11:15.
Therefore, in (A) statistics class Wilson's students earn a higher ratio of a's to b's.
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Find the value of x in the given figure
Answers
Answer:
x = 36
Step-by-step explanation:
3x and 2x are a linear pair and sum to 180° , that is
3x + 2x = 180
5x = 180 ( divide both sides by 5 )
x = 36
The equation represents a hyperbola centered at the origin with a directrix of . what is the value of b? 10 16 20 26
Answers
the value of b is = 10.
The equation of a hyperbola is x^2/24^2 - y^2/ (10)^2= 1.
What is hyperbola?The geometric characteristics of a hyperbola or the equations for which it is the solution set characterize it as a particular kind of smooth curve that lies in a plane. Mirror reflections of each other that resemble two infinite bows make up a hyperbola's two connected components or branches.
What is the general formula for hyperbola?The general formula for hyperbola = (x - h)²/a²- (y - k)²/(b)² = 1
According to the given information:x²/24 - y²/(b)² = 1
(x - 0)²/24 - (y -0)²/(b)² = 1
a=24,h=0 and k=0
Now equation of the directrix
x=a²/c...(1)
and we know x=576/26...(2)
Therefore from 1 and 2 we get
24²/c=576/26.
isolate the c so we get,
C=26
C= center of focii
c = √(a² + b³)
c² = a² + b²
b = c² - a²
b = 10
So we get the value of b is 10.
Therefore the equation of a hyperbola is x²/24² - y²/ (10)² = 1.
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3-12x4-6x²
Expression in standard form:
Leading Coefficient:
Answers
Answer:
Below in bold.
Step-by-step explanation:
Standard form:
-12x⁴ - 6x² + 3.
Leading Coefficient:
-12.
A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number.
Answers
The solution to the system of equation is x < 44/3
Expansion of inequality expressionsInequality expressions are expressions not separated by an equal sign. An example of an inequality is a < b
Given the inequality expression below;
x + 2x + 6 < 50
Simplify to have:
3x + 6 < 50
Subtract 6 from both sides
3x + 6 - 6 < 50 - 6
3x < 50 - 6
3x < 44
Divide both sides by 3
3x/3 < 44/3
x < 44/3
Hence the solution to the system of equation is x < 44/3
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When conducting a hypothesis test for a given sample size, if the probability of a type i error decreases, then the __________.
Answers
Based on the type I error, if a hypothesis test leads to the probability of a type I error decreasing, then the a. probability of incorrectly accepting the null hypothesis decreases.
What is a type I error?A type I error refers to when we are are engaged in a hypothesis test and end up rejecting the Null hypothesis even though it is true.
If we are in hypothesis tests and the probability of a type 1 error decreases, then it means that the probability of us correctly rejecting the null hypothesis when it is false increases.
It also means that the probability of us correctly accepting the null hypothesis when it is true increases as well.
This can further be said as the probability of us accepting the null hypothsis when it is false, decreases. There are therefore less chances of us incorrectly accepting the null hypothesis.
Options for this question include:
a. probability of incorrectly accepting the null hypothesis decreasesb. probability of Type II error decreasesc. probability of incorrectly accepting the null hypothesis increasesd. probability of incorrectly rejecting the null hypothesis increasesFind out more on type 1 errors at https://brainly.com/question/14806482
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Lines de and ab intersect at point c. lines d e and a b intersect at point c. angle a c e is (2 x 2) degrees. angle e c b is (5 x 3) degrees. what is the value of x? 12 25 38 52
Answers
The correct option is B.
The value will be = 25
What is the Angles of the triangle?
The sum of the two interior angles that are not adjacent to it equals the exterior angles of a triangle, but the interior angles of a triangle always add up to 180°. Subtracting the angle of the desired vertex from 180° is another method for determining a triangle's exterior angle.
Suppose point C is where lines DE and AB converge.∠ACE = (2x+2)°
∠ECB = (5x+ 3)°
Angles ACE and ECB are additional angles according to the linear postulate, as seen in the attached diagram.
Therefore:
∠ACE+∠ECB = 180°
(2x+2)+(5x+3) = 180
2x+ 5x+ 2+ 3 = 180
7x + 5 = 180
7x = 175
x= 175/7
x = 25
Thus the value will be = 25
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I understand that the question you are lookin for is :
Lines de and ab intersect at point c. lines d e and a b intersect at point c. angle a c e is (2 x 2) degrees. angle e c b is (5 x 3) degrees. what is the value of x?
A.12
B. 25
C. 38
D. 52
help i dont remember dis stuff from last year
Answers
See below for the solution to the systems of equations
How to solve the systems of equations?System of equations 1
Here, we have
3x - 4y = -16
3x + 4y = 8
We start by plotting the graph of both equations
Next, we write out the point of intersection of the equations
See attachment for the equation of the system
From the attached graph, the point of intersection of the equations is (-4/3, 3)
Hence, the solution to the system is (-4/3, 3)
System of equations 2
Here, we have
-x = - 6 + 2y
-18 + 6y = -3x
We start by plotting the graph of both equations
Next, we write out the point of intersection of the equations
See attachment for the equation of the system
From the attached graph, both lines are on each other
This means that the system of equations have infinite many solutions
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Which value of y completes the proportion?
18/27 = 2/y
A. 1
B. 2
C. 3
D. 9
I picked c.) 3 am I right?
Answers
Answer:
c. 3
yes you are right, good job!!
Step-by-step explanation:
18 divided by what equals 2?
18 / 2 = 9 so 18 / 9 = 2
so 27 / 9 = y which y = 3
check: 9 x 3 = 27
Answer:
Yes, C
Step-by-step explanation:
18/2 = 9 so you need to divide 27 by 9 to get 3
What is the simplified form of the following expression?
2√27+√12-3√3-2√12
O√3
O 9√3
O 11 √3
O 15√3
Answers
Answer:
[tex] \sqrt{3} [/tex]
Step-by-step explanation:
27 is 3×3×3 from square root we can take 3 out as 3^2 elimate square root and remaining 3 is under root
Select the correct answer.
A survey was given to randomly selected employees who drive to work. Each employee was asked to report if they had received a speeding ticket on their morning commute to work any time in the last year. The results are in the table. Which conclusion can be made from the data?
Answers
The conclusion that can be made from the data is that the probability illustrates that the employees who regularly leave for work late as less likely to receive a speeding ticket than employees who regularly leave for work early or on time.
What is probability?It should be noted that probability simply means the likelihood of the occurence of an event.
In this case, the survey was given to randomly selected employees who drive to work and eagh employee was asked to report if they had received a speeding ticket on their morning commute to work any time in the last year.
Therefore, the conclusion is that the the employees who regularly leave for work late as less likely to receive a speeding ticket than employees who regularly leave for work early or on time.
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Answer: B: The probability of an employee receiving a speeding ticket given that they regularly leave for work early or on time is less than the probability of an employee not receiving a speeding ticket given that they regularly leave for work late.
Step-by-step explanation:
trust me :)
PLS HELP ME WITH THIS
Answers
Using it's concept, the experimental probability of getting an odd number and a number greater than 6 is given by:
1/5.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes. An experimental probability is calculated considering the results of previous trials.
In this problem, there are 10 trials, and of those, 2 of them, trial 8 and trial 10, resulted in an odd number and a number greater than 6, hence the probability is:
p = 2/10 = 1/5.
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Indicate the equation of the line meeting the given conditions. Put the equation in standard form.
Containing E(4, 3) and A(6, 1)
Answers
Answer:
x + y = 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = E (4, 3 ) and (x₂, y₂ ) = A (6, 1 )
m = [tex]\frac{1-3}{6-4}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1 , then
y = - x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (4, 3 )
3 = - 4 + c ⇒ c = 3 + 4 = 7
y = - x + 7 ← equation in slope- intercept form ( add x to both sides )
x + y = 7 ← equation in standard form
Find the surface area of the pyramid with a regular pentagon as its base. Round to the nearest tenth if necessary. (13 is the length of the edge not the slant)
Answers
The surface area of this pyramid with a regular pentagon as its base is equal to 851.09 square units.
How to calculate the surface area?In Mathematics, a complete circle has a magnitude of 360° and when it is divided by the 10 triangles, the angle formed at the center of the pentagon would always be equal to 36°.
Also, the length of the apothem of a pentagon can be calculated by using this formula:
a = s/2tan(36)
Where:
a represents the length of the apothem of a pentagon.s represents the length of the sides of a pentagon.Substituting the given parameters into the formula, we have;
a = 10/2tan(36)
a = 10/1.45
a = 6.90 units.
Next, we would determine the slant height of this pyramid by applying Pythagorean theorem:
c² = a² + b²
c² = 6.9² + 13²
c² = 47.61 + 169
c² = 216.1
c = √216.1
c = 14.72 units.
For the surface area, we have:
Mathematically, the surface area of a pyramid with a regular pentagon as its base can be calculated by using this formula:
SA = 1.72l² × (5/2 × l × h)
SA = 1.72(14.72)² × (5/2 × 14.72 × 13)
SA = 372.69 + 478.4
SA = 851.09 square units.
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If tan A 3/4 find the value of: sin2A
Answers
Answer:
24/25
Step-by-step explanation:
use tan^-1 to find the angle
tan^-1(3/4)=36.86989765°
A =36.86989765°
2A= 2×36.86989765
=73.73979529°
sin2A>>>>sin(73.73979529°)
=24/25 or 0.96
Answer:
sin2A = [tex]\frac{24}{25}[/tex]
Step-by-step explanation:
using the identity
sin2A = 2sinAcosA
given
tan2A = [tex]\frac{3}{4}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]
then this is a 3- 4- 5 right triangle with
hypotenuse = 5, opposite = 3 , adjacent = 4 , then
sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{3}{5}[/tex] and cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{4}{5}[/tex]
Then
sin2A = 2 × [tex]\frac{3}{5}[/tex] × [tex]\frac{4}{5}[/tex] = [tex]\frac{2(3)(4)}{5(5)}[/tex] = [tex]\frac{24}{25}[/tex]
20. In the figure at right, ABDC lies in plane k and AD IDC.
AD is definitely perpendicular to k if which of the following is true?
(A) BDLDC (B) ADBC=AABC (C) ADBC is isosceles
(D) ADAB is similar to ADAC (E) none of these
Answers
The option that's true about the plane illustrated is E. None of these.
How to illustrate the plane?From the information given, it should be noted that DBC isn't an isosceles triangle.
Also, from the figure, one can see that DAB isn't similar to DAC.
Likewise, BD and DC aren't perpendicular.
In conclusion, the correct option is E.
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PLEASE HELP ME SOLVE THE QUESTION BELOW
Ann and Tom want to establish a fund for their grandson's college education. What lump sum must they deposit at 12 % annual interest rate, compounded quarterly , in order to have 20,000$ in the fund at the end of 10 years?
Answers
For Ann and Tom to have $20,000 at the end of 10 years, they must deposit a sum of $6,131.14.
What is the principal?
To calculate the sum of money they must deposit, use the compound interest formula.
From the compound interest formula;
P = A / ( 1 + r/n )^(nt)
Given that;
Final amount A = 20,000Interest rate r = 12% = 12/100 = 0.12Compound n = quarterly = 4Time t = 10 yearsPrincipal P = ?P = A / ( 1 + r/n )^(nt)
P = 20,000 / ( 1 + 0.12/4 )^(4×10)
P = 20,000 / ( 1.03)^40
P = 20,000 / 3.26203779
P = $6,131.14
Therefore, for Ann and Tom to have $20,000 at the end of 10 years, they must deposit a sum of $6,131.14.
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The use of cellular phones in automobiles has increased dramatically in the last few years. Of concern to traffic experts, as well as to manufacturers of cellular phones, is the effect on accident rates. Is someone who is using a cellular phone more likely to be involved in a traffic accident? What is your conclusion from the following sample information? Use the 0.05 significance level.
Answers
The conclusion based on the hypothesis is that do not reject the null hypothesis as the row an column factors are independent.
How to make the conclusion?From the information given, the null hypothesis is that the row and the column factors are independent. The alternative hypothesis is that they're dependent.
This was run by using the Chi square test and the following information was gotten:
Test statistic = 2.5234
P- value = 0.1122
Degree of freedom = (2-1)(2-1) = 1
Since the p value is equal to 1%, do not reject the null hypothesis as the row an column factors are independent.
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Answer and explanation in the attached file.
Given the angles inscribed in the circle, find m ∠ DBC.
Answers
Answer:
m∠DBC = 51°
Step-by-step explanation:
Circle Theorem vocabulary
Chord: A straight line joining two points on the circle.Inscribed angle: The angle formed when two chords meet at one point on a circle.Intercepted arc: The arc that is between the endpoints of the chords that form the inscribed angle.Inscribed Angle Theorem
The measure of an inscribed angle is half the measure of the intercepted arc.
Therefore:
[tex]\sf \implies \angle DBC=\dfrac{1}{2}\:\overset{\frown}{BC}[/tex]
[tex]\sf \implies \angle DBC=\dfrac{1}{2}\:(102^{\circ})[/tex]
[tex]\sf \implies \angle DBC=51^{\circ}[/tex]
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[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]
To determine ∠DBC, we will apply the theorem relating the inscribed angle to the intercepted arc:
[tex]\longrightarrow \sf{Intercepted \: arc= (inscribe \: angle)}[/tex]
[tex]\longrightarrow \sf{Intercept \: arc= 102^\circ}[/tex]
[tex]\longrightarrow \sf{Inscribed \: angle= \angle DBC }[/tex]
[tex]\longrightarrow \sf{102=2( \angle DBC)}[/tex]
[tex]\longrightarrow \sf{\angle DBC= \dfrac{102}{2} }[/tex]
▪ [tex]\longrightarrow \sf{\angle DBC = 51^\circ}[/tex]
[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]
[tex]\boxed{\bf{\large m \: \angle DBC= 51^\circ}}[/tex]
You are on a jungle expedition and come to a raging river. You need to build a bridge across the river. You spot a tall tree directly across from you on the opposite bank (point ). You place a pole in the ground to mark the position directly across from the tree. From the spot you are standing, you walk directly downstream 16 feet and place another pole (point ). You keep walking down stream and mark a third spot with a pole that is 7 feet from your last pole (point ). Turning perpendicular from the last pole, you walk away from the river 9 feet to another position and place a fourth pole (point ).
a. Determine if the two triangles are similar. Explain which similarity theorem you used and why.
b. Use proportions to calculate the distance across the river.
A large tree is close to point and we could chop it down at an angle to reach point and safely cross the river.
c. How tall does the tree need to be to span the river from point to ?
Answers
There was an earthquake in San Francisco April 18, 1906. More recently there was another earthquake in Columbia June 27, 2014. Earthquakes are measured using the associated amplitude on the Richter scale. Let a1 be the amplitude for the San Francisco earthquake and a2 be the amplitude for the Columbian earthquake.
San Francisco earthquake equations is below:
R1=log(a1/T)+B=7.8
Columbia earthquake equations is below:
R2=log(a2/T)+B=5.6
a. Use the properties of logs to determine how many more times severe was the San Francisco earthquake? The severity is equal to the ratio below: a1/a2
Answers
Solving a logarithmic equation, it is found that the San Francisco earthquake was 24.71 times more intense than the Columbian earthquake.
How to find the ratios of the intensity of earthquakes?As given in the problem, the intensities of the earthquakes are given by logarithms of base 10. Then, supposing that the intensities are R1 and R2, with R1 greater than R2, the ratio of the intensities, that is, how much intense R1 is than R2, is given as follows:
[tex]r = 10^{\frac{R_1}{R_2}}[/tex]
For this problem, the intensities are given as follows:
San Francisco: R1 = 7.8.Columbia: R2 = 5.6.Then, the ratio of the intensities is given as follows:
[tex]r = 10^{\frac{7.8}{5.6}} = 24.71[/tex]
The San Francisco earthquake was 24.71 times more intense than the Columbian earthquake.
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A shipment of inexpensive digital watches, including that are defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective. What is the probability that the shipment will be rejected?.
Answers
0.8926 percent of the time, the shipment will be rejected.
What is Probability?The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
According to the given information:A delivery of 50 cheap digital watches, 10 of which are flawed.
A digital watch's likelihood of malfunctioning
P = 10/50
= 0.2
Size of sample: n = 10
Additionally, if they find one or more samples to be defective, they reject the entire cargo.
Making use of the binomial probability formula:
[tex]P(x)={ }^{n} C_{x} p^{x}(1-p)^{n-x}[/tex]
The random variable x should stand in for the quantity of defective watches.
The chance that the delivery will be refused is:
[tex]P(x \geq 1)=1-P(0)[/tex]
= [tex]1-{ }^{10} C_{0}(0.2)^{0}(0.8)^{10}[/tex]
= 1 - (0.8)[tex]^{10}[/tex]
= 0.8926
As a result, 0.8926 percent of the time, the shipment will be rejected.
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I understand that the question you are looking for is:
A shipment of 50 inexpensive digital watches, including 10 that are defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective. What is the probability that the shipment will be rejected
4. The figure shows a rectangular tank.
(a) The capacity of the tank is ___ L.
(b) After pouring 10L of water into the tank, the depth of water will be __ cm.
Answers
Answer:
20 L volume and 12.5 cm depth.
Step-by-step explanation:
See attached image.
A radio transmission tower is 210 feet tall. How long should a guy wire be if it is to
be attached 6 feet from the top and is to make an angle of 23° with the ground?
Give your answer to the nearest tenth of a foot.
Answers
Answer:
522.1
Step-by-step explanation:
Calculated based on 2 given angles and 1 given side.
Side b = 204
Angle ∠A = 90°
Angle ∠B = 23°
Angle ∠C = 180-90-23 = 67°
a = b·sin(A)/sin(B) = 522.09815
-(2021.0,7+19,75)+2021.0,7-(8-19,75)
Answers
Answer: -8.
Step-by-step explanation:
-(2021.0,7+19,75)+2021.0,7-(8-19,75)=-2021.0,7-19,75+2021.0,7-8+19,75=-8.
A rotating sprinkler head sprays water as far as 20 feet. the head is set to cover a central angle of . what area of grass will be watered?
Answers
The area of the grass that will be watered is given by 800/9 pi ft^2.
What is the area of a circle?
Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula, A = πr2, (Pi r-squared) where r is the radius of the circle. The unit of area is the square unit, such as m2, cm2, etc. Area of Circle = πr2 or πd2/4, square units. where π = 22/7 or 3.14.The area of a circle of radius r is given by:
A = πr²
In this problem, a rotating sprinkler head sprays water as far as 20 feet, hence the radius is of r = 20 ft.
It covers a central angle of 80º, while an entire circle has 360º, hence the area of grass that will be watered corresponds to 80/360 = 2/9 of the area of the circle.
Hence the watered area in ft² is given by-
A = 2/9 π × (20)²
= 800π/ 9
Therefore, the area of the grass that will be watered is given by 800/9 pi ft^2.
Learn more about area of a circle
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