circle the volume in cm^3 of a cylinder with the radius 5cm and height 8cm

Answers

Answer 1

Answer:

628 [tex]cm^{3}[/tex]

Step-by-step explanation:

Since the formula to find the volume of a cylinder is [tex]\pi r^{2}[/tex]h, we just need to fill things in.

Since the radius is 5 and the height is 8 and we know that pi=3.14, our new equation is:

3.14*5^2*8.

5*5=25. Now we simplify.

3.14 * 25 * 8

78.5 * 8

628 [tex]cm^{3}[/tex]

Hope this helps!! <3 :)

Answer 2

Answer:

628.32

Step-by-step explanation: googled it lol


Related Questions

What is this used for and how do i use it..?

Answers

you have to solve each one to get your answer and I think that your answer will be inside the circle

Answer:

This is called the Unit Circle. It is used in trigonometry. It had a radius of 1.

It helps you when using the trig function of sin cos and tan.

Hope this helps!!!!

Step-by-step explanation:

What is 2/3 - (-2/3)?
A) 4/3
B) 4/3
C) 0
D) 2/3

Answers

Answer:

Option A, 4/3

Step-by-step explanation:

2/3-(-2/3)

= 2/3+2/3

= (2+2)/3

= 4/3

A) 4/3

Explanation: 2/3 + 2/3 = 4/3

Find the length of AC
А
12°
C
B
44

Answers

Answer:

9.35

Step-by-step explanation:

Using basic trigonometric ratios,

tan X° = opposite/adjacent

but,X° = 12°

opposite = AC.

adjacent = 44

tan X° = AC/44

AC = tan(12°) × 44

AC = 9.35

The scale on a map of Virginia shows that 1 centimeter represents 30 miles. The actual distance from Richmond, VA to Washington, DC is 110 miles. On the map, how many centimeters are between the two cities?

Answers

3.66 cm is the distance between these to cities .
____________________________
Hope it is helpful!!

The closed form sum of

$$12 \left[ 1^2 \cdot 2 + 2^2 \cdot 3 + \ldots + n^2 (n+1) \right]$$
for $n \geq 1$ is $n(n+1)(n+2)(an+b).$ Find $an + b.$

Answers

Perhaps you know that

[tex]S_2 = \displaystyle\sum_{k=1}^n k^2 = \frac{n(n+1)(2n+1)}6[/tex]

and

[tex]S_3 = \displaystyle\sum_{k=1}^n k^3 = \frac{n^2(n+1)^2}4[/tex]

Then the problem is trivial, since

[tex]\displaystyle\sum_{k=1}^n k^2(k+1) = S_2 + S_3 \\\\ = \frac{2n(n+1)(2n+1)+3n^2(n+1)^2}{12} \\\\ = \frac{n(n+1)\big((2(2n+1)+3n(n+1)\big)}{12} \\\\ = \frac{n(n+1)\big(4n+2+3n^2+3n\big)}{12} \\\\ = \frac{n(n+1)(3n^2+7n+2)}{12} \\\\ = \frac{n(n+1)(3n+1)(n+2)}{12}[/tex]

Then

[tex]12\bigg(1^2\cdot2+2^2\cdot3+3^2\cdot4+\cdots+n^2(n+1)\bigg) = n(n+1)(n+2)(3n+1)[/tex]

so that a = 3 and b = 1.

Which table shows a function that is decreasing over the interval (−2, 0)? A 2-column table with 4 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 0, negative 5, 0, 5. A 2-column table with 4 rows. The first column is labeled x with entries negative 2, 0, 2, 4. The second column is labeled f of x with entries negative 15, negative 5, negative 20, negative 30 A 2-column table with 4 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0. The second column is labeled f of x with entries 2, 0, negative 10, negative 24.

Answers

Answer:

  A 2-column table with 4 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0. The second column is labeled f of x with entries 2, 0, negative 10, negative 24.

Step-by-step explanation:

The table shown in the attachment has the function that is decreasing in the interval of interest.

"Decreasing" means that for increasing x-values, each f(x) value is less than the one before.

Answer:

The answer is C

Step-by-step explanation:

I just took the test and got it right.

Hopefully this helps you :)

pls mark brainlest ;)

Determine whether each of the following products is rational or irrational.
Expression
Rational
Irrational
77-18
-7,49
5
2
./II

Answers

Answer:

-irrational

-rational

-rational

-irrational

__________________________________________________________quick and easy way is to see if the squares are perfect squares, like square root seven is irrational, so the answer is irrational. square root 9 is 3, which is rational, so its rational.

brainliest is appreciated :)

mean marks of 100 students was 40.. It was discovered that 53 was misread as 83. Find the actual mean.​

Answers

Problem:-

mean marks of 100 students was 40.. It was discovered that 53 was misread as 83. Find the actual mean.

Solution:-

Total mean score = 40

[tex]mean \: = \frac{sum \: of \: observation}{number \: of \: observations} [/tex]

sum of observations

= mean × no of observations

= 40×100

= 4000

After the replacement, sum of new observation will be

=4000-83+53

= 3970

mean of new the observation will be

[tex] = \frac{3970}{100} [/tex]

[tex] = 39.7[/tex]

[Hence, the actual mean is 39.7]

Line m and point P are shown below. Part A: Using a compass and straightedge, construct line n parallel to line m and passing through point P. Leave all construction marks. Part B: Explain the process that you used to construct line n.

Answers

Answer:

The steps to construct a a line parallel to another line from a point includes

1) From the given line draw a transversal through the point

2) With the compass, copy the angle formed between the transversal and the given line to the point P

3) Draw a line through the intersection of the arcs of the angle construction to get the parallel line through the point P

Step-by-step explanation:

Find the missing probability. P(A)=720,P(B)=35,P(A∩B)=21100 ,P(A∪B)=?

Answers

P( A U B) = 37/50

Step-by-step explanation:

7/20+3/5+21/100

IF YOU NEED MORE HELP LMK

If you can please mark this as the brainliest

If p+1/p - 7 then find the value of p³+1/p³ ​

Answers

Answer:

322

Step-by-step explanation:

We have,

a^3+b^3=(a+b)^3-3ab(a+b)

p+1/p=7

Now,

p^3+1/p^3=(p+1/p)^3-3*p*1/p(p+1/p)

               =7^3-3(7)=343-21=322

he greatest common factor of each term in the expression 60 a b minus 72 b is 12b. Which choice shows the expression written as a product?

Answers

Answer:

Hey there!

60ab-72b

12b(5a-6)

The GCF is 12b.

Let me know if this helps :)

Answer:

b

Step-by-step explanation:

Can the two triangles be proven congruent by SAS? Explain.

A) No, there's only one pair of congruent angles, ∠B ≅ ∠D, and one pair of congruent sides, ≅ .

B) No, because the two triangles share a side.

C) Yes, because ≅ , ∠B ≅ ∠D, and and are parallel.

D) Yes, because ≅ , ∠B ≅ ∠D, and and are parallel

Answers

Answer:

The correct option is;

Yes because AC ≅ AC, ∠B ≅ ∠D, and AD and BC are parallel.

Step-by-step explanation:

Based on the the given information

The number of congruent sides = One  which is AC is congruent to AC which is the reflexive property

The number of given congruent angles = One which is angle ∠ABC is congruent to ∠ADC

However, where angle ∠ABC is congruent to ∠ADC, we have AD is parallel to BC, therefore, ∠BAC is congruent to ∠DCB, and BA is parallel to CD, therefore AD is congruent to BC and DC is congruent to AB

Therefore the correct option is yes because AC ≅ AC, ∠B ≅ ∠D, and AD and BC are parallel.

Simplify the following expression and write
in scientific notation.
(0.00045)(500,000)
0.0015

Answers

Answer:

Correct

1.5×10^5

Step-by-step explanation:

first multiply 0.00045x500000 then you get 200 and divide that by 0.0015 you will get 150000 the equation will be 1.5x10^5

The expression is in scientific notation [tex]1.5 \times 10^5[/tex].

Given

The expression is;

[tex]\dfrac{0.00045 \times 500,000}{0.0015}[/tex]

Firstly simplify the equation

[tex]= \dfrac{0.00045 \times 500,000}{0.0015}\\\\= \dfrac{2225}{0.0015}\\\\= 150,000[/tex]

Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.

Therefore,

The expression is in scientific notation.

[tex]= 150,000\\\\= 15 \times 10000\\\\= 1.5 \times 10 \times 10000\\\\= 1.5 \times 10^5[/tex]

Hence, the expression is in scientific notation [tex]1.5 \times 10^5[/tex].

To know more about Scientific notation click the link given below.

https://brainly.com/question/10764675

!!!HELP ME!!! ILL GIVE YOU BRAINLIEST!!!!

Celine has earned the following homework scores in her history class: 5, 0, 4, 8, 10, 9, 4, 6, 2. There is one homework assignment to go and Celine needs a homework average of at least 8. If each homework assignment is worth a maximum of 10 points, can she achieve her needed average?

Answers

Answer:

She can not achieve her average.

Step-by-step explanation:

For her homework average to be 8 or above, she needs to have at least 80 total points to be divided among 10 assignments.

If you add up all the values, 5, 0, 4, 8, 10, 9, 4, 6, 2, you would get 48.

She can not achieve her average because even with the maximum amount of points, 10, 58 is still less than 80.

Answer:

No

Step-by-step explanation:

Most of her scores are under 50 or 50

5 2 4 4 0

What is the minimum Valium of this function? F(x)=150•sin(3•x)

A=150
B=-150
C=200
D=-200

Answers

Answer:

B  -150.

Step-by-step explanation:

The minimum value of a sine is -1

So the answer is 15 * - 1 = -150.

Answer:

-150

Step-by-step explanation:

F(x)=150•sin(3•x)

The minimum that sin takes is negative 1

so 150(-1) = -150

The minimum of f(x)  is -150

SIMPLIFY.

(5c^2 + c) - (3c^2 + 11c)

Answers

Answer:2 c^2 - 10c

Step-by-step explanation:

The midpoint of line segment AB is (-2,1). If the coordinates of B are (0,2) what are the coordinates of A?

Answers

The required coordinate of A will be at (-4, 0)

When a point bisects a line, it cuts the line into two equal parts and the point on that line is known as its midpoint. The expression for calculating the midpoint of a line is expressed as;

[tex]M(X, Y)= [{ \frac{x_2+x_1}{2} , \frac{y_2+y_1}{2} ][/tex] where:

[tex]X =\frac{x_2+x_1}{2} \\Y=\frac{y_2+y_1}{2}[/tex]

From the question, we are given the following coordinate points

[tex]X=-2\\x_1=0\\[/tex]

Get x₂;

[tex]X =\frac{x_2+x_1}{2}\\-2 =\frac{x_2+0}{2}\\2 \times -2=x_2+0\\-4=x_2\\ Swap\\x_2=-4\\[/tex]

Get y₂;

[tex]Y =\frac{y_2+y_1}{2}\\1 =\frac{y_2+2}{2}\\2 \times 1=y_2+2\\2=y_2+2\\y_2=2-2\\y_2=0[/tex]

Hence the coordinate of A will be (-4, 0)

Learn more about the midpoint here: https://brainly.com/question/18315903

Simplify.
[tex] \frac{6a + 18b - 12c}{6} [/tex]
8th grade maths​

Answers

Step-by-step explanation:

[tex] \frac{6a + 18b - 12c}{6} \\ = \frac{6a}{6} + \frac{18b}{6} - \frac{12c}{6} \\ = a + 3b - 2c \\ thank \: you[/tex]

For his science project, Chip decided to test how well plants grew with fertilizer. He started off by planting seeds in three different pots and labeling each of the plants. Plant A had no fertilizer. Plant B had the recommended amount of fertilizer. Plant C had four times the recommended amount of fertilizer. For ten consecutive days he measured the height of each plant in centimeters. The follow ing table shows his results. Which plant grew the most from Day 7 to Day 9?

Answers

Now in pot experiments the most important point is to have the same number of plants per pot. To achieve this you plant more seeds and then you thin them after emergence to keep the same number of uniform plant per pot.

Now for calculating fertilizer rate of application in pots, you calculate according to soil weigh as you correctly indicated 2.2 M Kg/ha. You don't have to weigh the soil, just use the bulk density to calculate weigh from volume. Forget about space in pot experiment. you will have a lot of problems since pots have different shapes and forms!

Another recommandation mix soil and fertilizers for each treatment for the number of replicate pots. If you are using 5 replicates pot of 2 Kg soil/ pot, mix the fertilizers you want to apply to the 5 pots with 10 Kg of soil and after mixing well (preferably mechanically) distribute the same volume of soil in each one of the 5 pots.

If the amount of fertilizer to apply is small mix with some soil first and mix well before mixing to the whole soil. The idea is to have as much as possible, a uniform distribution.

You might also consider fractionating you nitrogen source if it will be leached.

Now according to the exact aim of your work other method sof fertilizationare possible.

Finally remember that maize is a mycorrhizal plant and this beneficial symbiosis can be influenced by the amount of soluble P you are adding.

Wishing you a lot of success in your work

hope it's help you plz mark as brain list.......!!!!!!!!!!!!!!!!

hope it will helps you

ashley here

answer choices:
A. 32%

B. 46%

C. 24%

D. 11%

Answers

B.46% I got it right

Heyo random person scrolling.Please help me?

Answers

Let's do

[tex]\\ \sf\longmapsto 2sin^260cos60tan^245[/tex]

[tex]\\ \sf\longmapsto 2\left(\dfrac{\sqrt{3}}{2}\right)^2\times \dfrac{1}{2}\times (1)^2[/tex]

[tex]\\ \sf\longmapsto 2\times \dfrac{(\sqrt{3})^2}{2^2}\times \dfrac{1}{2}\times 1[/tex]

[tex]\\ \sf\longmapsto \dfrac{3}{2}\times \dfrac{1}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3}{4}[/tex]

Trigonometric values

[tex]\Large{ \begin{tabular}{|c|c|c|c|c|c|} \cline{1-6} \theta & \sf 0^{\circ} & \sf 30^{\circ} & \sf 45^{\circ} & \sf 60^{\circ} & \sf 90^{\circ} \\ \cline{1-6} $ \sin $ & 0 & $\dfrac{1}{2 }$ & $\dfrac{1}{ \sqrt{2} }$ & $\dfrac{ \sqrt{3}}{2}$ & 1 \\ \cline{1-6} $ \cos $ & 1 & $ \dfrac{ \sqrt{ 3 }}{2} } $ & $ \dfrac{1}{ \sqrt{2} } $ & $ \dfrac{ 1 }{ 2 } $ & 0 \\ \cline{1-6} $ \tan $ & 0 & $ \dfrac{1}{ \sqrt{3} } $ & 1 & $ \sqrt{3} $ & $ \infty $ \\ \cline{1-6} \cot & $ \infty $ &$ \sqrt{3} $ & 1 & $ \dfrac{1}{ \sqrt{3} } $ &0 \\ \cline{1 - 6} \sec & 1 & $ \dfrac{2}{ \sqrt{3}} $ & $ \sqrt{2} $ & 2 & $ \infty $ \\ \cline{1-6} \csc & $ \infty $ & 2 & $ \sqrt{2 } $ & $ \dfrac{ 2 }{ \sqrt{ 3 } } $ & 1 \\ \cline{1 - 6}\end{tabular}}[/tex]

How do you do this TwT

Answers

Answer:

Step-by-step explanation:

First step plug the numbers into the equation.

-10/(5+2) = (-10/5) + (-10/2)

Solve both sides of the equation separately.

-10/(5+2) Use distributive property, multiply both 5 and 2 by -10.

= -50 + (-20) = -70

-10/5 + -10/2 Multiply the fractions so they can be added together.

-10/5*2 = -20/10  -10/2*5 = -50/10

-20/10 + -50/10 = -70

Now you have solved both equations and they are both equal to -70, so you have verified that the equations are equal to each other because they both equal -70.

A personal trainer keep track of the number of minutes each of his 20 clients exercise on the treadmill and the number of calories each client burned during that time removing. which TWO of these data points will cause the correlation coefficient to decrease the most?


A). Data point A

B). Data point B

C). Data point C

D). Data point D

Answers

Answer:

Data Point B and Data point E

Step-by-step explanation:

Data point B and data point E are the farthest and are more distant away from the best line of fit compared to other data points. The more clustered data points are, the more the correlation that exists between the variables in question.

Therefore, data point B and data point E, will cause the correlation coefficient to decrease the most.

7>x/4 solve for x

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

28 > x

Step-by-step explanation:

7>x/4

Multiply each side by 4

4*7 > x/4 *4

28 > x

Answer:

28 > x

Step-by-step explanation:

7>x/4

Multiply each side by 4

4*7 > x/4 *4

28 > x28 > x

Sixty-five percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual? Sixty-five percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual?

Answers

Answer:

The outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.

Step-by-step explanation:

The outcomes provided are:

(A) 0, 1, 2, 6, 7, 8

(B) 0, 1, 2, 7, 8

(C) 0, 1, 7, 8

(D) 0, 1, 2, 8

Solution:

The random variable X can be defined as the number of employees who judge their co-workers by cleanliness.

The probability of X is:

P (X) = 0.65

The number of employees selected is:

n = 8

An unusual outcome, in probability theory, has a probability of occurrence less than or equal to 0.05.

Since outcomes 0 and 1 are contained in all the options, we will check for X = 2.

Compute the value of P (X = 2) as follows:

[tex]P(X=2)={8\choose 2}(0.65)^{2}(0.35)^{8-2}[/tex]

                [tex]=28\times 0.4225\times 0.001838265625\\=0.02175\\\approx 0.022<0.05[/tex]

So X = 2 is unusual.

Similarly check for X = 6, 7 and 8.

P (X = 6) = 0.2587 > 0.05

X = 6 not unusual

P (X = 7) = 0.1373 > 0.05

X = 7 not unusual

P (X = 8) = 0.0319

X = 8 is unusual.

Thus, the outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.

F(x)=0.5x^2-2 and g(x)=8x^3+2

Answers

Answer:

(f*g)(x) = 4x⁵ - 16x³ + x² - 4

Step-by-step explanation:

To find (f*g)(x), you need to multiply f(x) with g(x).  Use FOIL to multiply.

f(x) = 0.5x² - 2

g(x) = 8x³ + 2

(f*g)(x) = (0.5x² - 2)(8x³ + 2)

(f*g)(x) = 4x⁵ + x² - 16x³ - 4

(f*g)(x) = 4x⁵ - 16x³ + x² - 4

Find the equivalent expression by drawing a line from the left column to the right

Answers

Answer/Step-by-step explanation:

[tex] 2(3x - 1) = 2*3x 2*-1 = 6x - 2 [/tex]

[tex] (x*y)2 = (xy)2 = 2xy [/tex]

[tex] 2(2x - 3) = 2*2x 2*-3 = 4x - 6 [/tex]

[tex] 3x + 4x + 2 = (3x + 4x) + 2 = 7x + 2 [/tex]

[tex] 7x - 7 = 7(x) - 7(1) = 7(x - 1) [/tex]

[tex] x(6 + 9) = x(15) = 15x [/tex]

[tex] 2 + 9x + 1 + 3x = (9x + 3x) + (2 + 1) = 12x + 3 [/tex]

[tex] 4(x + 2) + x = 4x + 8 + x = 4x + x + 8 = 5x + 8 [/tex]

Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.
26
Select all that apply.
O A. rational numbers
B. natural numbers
I c. irrational numbers
D. integers
E. whole numbers
OF. real numbers

Answers

Answer:

A

B

D

E

F

Step-by-step explanation:

26 can be also written as 26/1 or 52/2 or ...

so, it is part of the rational numbers.

it is clearly a natural number (1, 2, 3, 4, ...).

it is also an integer (... , -2, -1, 0, 1, 2, 3, ...).

it is a whole number (0, 1, 2, 3, 4, ...)

and it is a real number, as it can be written as 26.0. real numbers are the superset of all these mentioned sets of numbers.

but it is NOT an irrational number, as they have infinite digits after the decimal point without any repeating pattern.

in other words, any number that is a member of the rational numbers cannot be an irrational number. and vice versa.

Martha estimated there were 86 marbles in a jar for a contest. The actual number of marbles in the jar was 108. What was the percent error of Martha's estimation?

Answers

Answer:

Roughly 20.4%

Step-by-step explanation:

Use the formula of percent of error:

| Actual number - Guess / Actual number | (100)

The actual number is 108 and the guessed number is 86:

| 108 - 86 / 108 | (100)

= | 22/108 | (100)

= | 0.2037037037 | (100)

The vertical lines indicate absolute value.  This means that anything inside of it must be turned into its positive form.  Since it is already positive, just take the signs away:

0.2037037037(100)

≈ 0.204(100)

= 20.4

Turn this into a percent:

20.4%

Martha's percent of error is 20.4%

Please tell me if I was right or not.  I really hope this helps!

Other Questions
main components of Adobe photoshop are. ...............a) title bar b) tool bar c) menu bar d) all of this Plzz help Ill mark brainliest What would happen in a State if its citizens lack relevant knowledge, skillsand positive attitude? an investment under consideration has a payback of six years and a cost of 876000. Assume the cash flows are conventional. If the required return is 12 percent, what is the worst-case NPV? An individual was injected with 80 mg of inulin and 960,000 counts per min (cpm) of tritium-labeled water (3H20) to determine the volume of various body fluid compartments. After equilibration a blood sample was obtained and the plasma inulin concentration was 0.5 mg% and the plasma activity (concentration) of tritium was 20 cpm/ml. The volumes of which body compartments can be determined? Yan has already finished Three-fifths of the 45 math problems he was assigned today. Each math problem took him 1 four-fifths of a minute to complete. If this pace continues, how much more time, to the nearest minute, will the rest of the problems take him to finish? One way to calculate the target heart rate of a physically fit adult during exercise is given by the formula h=0.8( 220x ), where h is the number of heartbeats per minute and x is the age of the person in years. Which formula is equivalent and gives the age of the person in terms of the number of heartbeats per minute? define one standard kg Applying the median-voter model and assuming that there are equal numbers of voters supporting each stadium, we would expect:________ a. stadium C to be built, but this would not be the most socially efficient outcome. b. stadium C to be built, which would be the most socially efficient outcome. c. no stadium to be built, because of political gridlock. d. stadium D to be built because it produces the most socially efficient outcome. What is the purpose of this map?to show topographical information to show boundaries between countries to show information about weather and temperatureto show economic differences What is the relationship between an idiomatic and a literal phrase? A literal phrase indirectly states the meaning of an idiomatic phrase. An idiomatic phrase restates the meaning of a literal phrase to make it easier for a reader to understand. An idiomatic phrase presents non-literal language that influences the connotation of the literal phrase. A literal phrase is the straightforward language that interprets the figurative meaning of an idiomatic phrase. If you have 2.4L of SO2 gas (at STP) how many moles of sulfur dioxide do you have? 5. Which one of the following does not characterize Christianity in western Europe between 600 and 1000 CE? B. Augustine of Hippo emphasized that the "City of God" was represented on earth by the Catholic Church. C. The strength of the Catholic Church derived in large part from the fact that nearly all Christians lived in the European lands under its religious authority. According to the institution and overall goal of an English composition course is to how many are 8 raised to 2 ??? Find the distance between the points X and Y shown. Question 5 options: A. 29 B. 21 C. 21 D. 5 find the HCF and LCM of 4x^2 - 36 ,2x^2 - 12x + 18 and 2x^2 + x - 21 Which numbers are 9 units from 5 on this number line?Drag and drop all of the numbers that are 9 units from 5 to their correct position on the number line.-14,-5 -4 4 5 9 Before you move forward, summarize the changes you will need to make to your new budget. Describe these changes in at least two sentences. A homeowner wants to build a fence to enclose a 320 square yard rectangular area in his backyard. Along one side the fence is to be made of heavy-duty material costing $9 per yard, while the material along the remaining three sides costs $1 per yard. Determine the least cost to the homeowner.