6. You have 220 feet of fencing material to enclose a rectangular area for your pet animals. Let x = the length of the rectangular enclosure. (a) [7 points] Set up the function A(x) that represent the enclosed area. (b) [7 points] What should be the dimensions of the enclosed area? (c) [2 points] What is the maximum area of the enclosed area?

Answers

Answer 1

Answer:

I will start with (c)

(c) What is the maximum area of the enclosed area?

the maximum area of a rectangle is always given by a square figure

since the square has 4 equal sides, each side will be 220 / 4 = 55 ft long

maximum area = 55 x 55 = 3,025 ft²

(b) What should be the dimensions of the enclosed area?

the dimensions would be 55 ft in length by 55 ft in width

(a) Set up the function A(x) that represent the enclosed area.

perimeter of the rectangle = 220

we have 4 equal sides, so

A(x) = x²


Related Questions

express 1 as a percent

Answers

Answer:1 the answer would be 1%

Step-by-step explanation:

Answer:

1%

Step-by-step explanation:

divide 1 by 100 then get the answer

A triangle can have sides of 12, 19, and 30.
True or false

Answers

Answer:

True

Step-by-step explanation:

According to the Triangle Inequality, the sum of any two sides of a triangle has to be greater than the third side. 12+19 = 31 which is more than 30 so a triangle can have sides of 12, 19 and 30.

Answer:

false

Step-by-step explanation:

Which of the following does not show the Commutative Property of Addition or Multiplication?

a. xy – 9 = xy
b. x + y = y + x
c. yx = xy
d. 3 + y = y + 3​

Answers

Answer:

XY - 9 = XY

Step-by-step explanation:

You need to be careful when you are driving so 3+y is not the answer because 3 means dead in the language of god and y means yo so Its not the answer. Hope it helps

x+9;x=6

find the value of why for the given value of x

Answers

Answer:

-5

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

x+9=6 when x=6

6+9=15

15=15

QUICK WHAT IS 3 2/5X 2 1/3

Answers

Answer: 119/15 = 7 14/15

NO JOKING AROUND OR I WILL REPORT WHO EVER DOES

A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?
–90
–78
–66
–12

Answers

Answer:

Its 66 i just did a 50 question quiz and got it right

Step-by-step explanation:

Kevin bought twelve 8-ounce bottles of water. How many milliliters of water did Kevin buy? (Note: 1 ounce ≈ 30 ml) Thank you for any help I may get! <3

Answers

Given:

Kevin bought twelve 8-ounce bottles of water.

1 ounce ≈ 30 ml

To find:

The quantity of water in milliliters

Solution:

We have,

1 ounce ≈ 30 ml

8 ounce ≈ 8×30 ml

8 ounce ≈ 240 ml

It means, one 8 ounce bottle can hold about 240 milliliters of water.

Total number of bottles = 12

So, the quantity of water Kevin buy in milliliters is

[tex]12\times 240=2880[/tex]

Therefore, Kevin buys 2880 milliliters of water in twelve 8-ounce bottles.

Which of these transformations occurs when the blades of a fan turn?
a. dilation
b. reflection
c. rotation
d. translation

Answers

C. Rotation.............

Find an expression for the nth term (tn) in each of the following sequence:

2, 6, 10, 14, 18…

Answers

Answer:

The answer is 34

Step-by-step explanation: I just have a big brain

Answer: [tex]t_n = 4n - 2[/tex]

===========================================

Work Shown:

The first term is a = 2 and the common difference is d = 4, since we're adding 4 to each term to get the next term.

[tex]t_n = \text{nth term of arithmetic sequence}\\\\t_n = a+d(n-1)\\\\t_n = 2 + 4(n-1)\\\\t_n = 2 + 4n - 4\\\\t_n = 4n - 2[/tex]

Which is the answer.

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

If you were to plug in say n = 3, then we get

[tex]t_n = 4n - 2\\\\t_3 = 4(3) - 2\\\\t_3 = 12 - 2\\\\t_3 = 10[/tex]

showing that 10 is the third term, which matches with what the original sequence shows. I'll let you check the other values of n to fully confirm the answer.

A bus travels at a speed of 40 miles per hour and reaches Hogville in 40 minutes. If a cab takes 35 minutes to reach the same spot, determine the speed at which it traveled.

Answers

Answer:

45.7miles per hour

Step-by-step explanation:

40mins = 2/3 hour

the bus travelled (2/3 x 40) miles = 80/3 miles

the cab took 35 mins (which is 7/12 hour) so it's speed is (80/3)/(7/12) miles/hour = 45.714 miles/hour (5 s.f.)

pula pays 419.92 for 2.4 pounds of walnuts .What is the price per pounof waluts ?

Answers

174.97$ is the answer.
How I did it:
419.92 / 2.4 = 174.966 which rounds to 174.97$

Please help

Match the picture to the reason that would prove the triangles congruent.

Options:
NONE
ASA
SSS
SAS
AAS
HL

Answers

Answer:

Option (6). HL

Step-by-step explanation:

Given:

From the right triangles ΔBAC and ΔBDC,

AC ≅ CD

∠A = ∠D = 90°

To Prove:

ΔBAC ≅ ΔBDC

            Statements                       Reasons

1). AC ≅ DC                        1). Given

2). BC ≅ BC                       2). Reflexive property

3). ΔABC ≅ ΔBDC            3). By HL property of congruence of right triangles

Therefore, Option (6) HL will be the correct option.                              

In the souvenir shop, Gary finds a shirt and a key chain he would like to buy. The shirt costs $13.75 and the key chain costs $2.33. What will be the total of Gary's souvenirs?

Answers

Answer:

$16.08

Step-by-step explanation:

13.75+2.33=16.08

y+2=−3(x−4)= whats the missing equation

Answers

I think x= -7 if I’m wrong my bad, good luck !

-1/4 [p+16]=2 help me pls

Answers

Answer:

6p

Step-by-step explanation:

What is the equation of a line that passes through (0, 7) and has a slope of -2?

Answers

Answer:

y = -2x + 7

Step-by-step explanation:

We are given the slope so find the y-intercept using slope-intercept form [ y = mx + b ]

y = -2x + b

7 = -2(0) + b

7 = 0 + b

7 = b

Put everything we know/solved for into the original formula.

y = -2x + 7

Best of Luck!

Find the slope of the line containing the points (-2,5) and
(-2,0).

Answers

Answer:

undefined

Step-by-step explanation:

Urgent please help, I will truly be grateful

Answers

Answer:

I can barley see it but i think i know what to do.

Step-by-step explanation:

First i have to write down on a piece of paper:D

e-intercept form.
2. (2, 4); slope
1
2
write the linear equation in slope-intercept form

Answers

to work this out you need to solve for your y-intercept. by using what you have.

once you do so you get the answer y=1/2x+3

The science center has 200 people in attendance on Monday. The center expects Saturday’s attendance to be 140 percent of Monday’s attendance. Natasha is trying to figure out how many people will be in attendance. Her work is shown below. StartFraction part Over whole EndFraction = StartFraction 140 Over 100 EndFraction StartFraction 140 divided by 2 Over 100 times 2 EndFraction = StartFraction question mark Over 200 EndFraction 140 divided by 2 = 70 70 people will be in attendance. What mistake did Natasha make? Natasha should have multiplied 140 by 2. Natasha should have divided 100 by 2. Natasha should have added 140 and 200. Natasha should have multiplied 140 and 200.

Answers

Answer:

A

Step-by-step explanation:

I did math

Answer:

a

Step-by-step explanation:

hope yall have a good day going back to school

A = p + prt solve for t

Answers

Answer:

t = [tex]\frac{A - p}{pr}[/tex]

Step-by-step explanation:

A = p + prt

A - p = p - p + prt

A - p = 0 + prt

A - p = prt

[tex]\frac{A - p}{pr}[/tex] = [tex]\frac{prt}{pr}[/tex]

[tex]\frac{A - P}{pr}[/tex] = t

The ___ is the set of outputs for a function.

Answers

Answer:

Range

The set of output values is called the range of the function.

Which expression is equivalent to 8a + 20?
4(2a + 20)
4(2a + 5)
4(4a + 16)
4(4a + 5)

Answers

Answer:

4(2a+5)

Step-by-step explanation:

4 times 2a= 8a

4 times 5= 20

у = 3х – 7
у = 3х + 1

Answers

What are you doing if your graphing the points for the first one you start at -7 on the y axis and go up 3 and over tho the left by 1

For the second one you start at 1 on the y axis and go up 3 over the right 1

ILL GIVE BRAINLY THING

Answers

Answer:

the slope is -4/3

Step-by-step explanation:

you can either use the graph or algebra to find the slope.

to use the graph, simply count how many spaces up/down and to the left/right that you go.

to use algebra, take the coordinates of your two points and do (y2-y1)/(x2-x1).


A bag of apples costs a dollars.

A bag of oranges costs 2 dollars more.

If Dorie bought 5 bags of apples and 5 bags of oranges, how much did Dorie pay in terms of a?

Mark all choices that are true.

A 5 (2a + 2)
B 10a + 10
c 10a + 2
D 5 (a + a + 2)
E 5a + 2a

Answers

Answer:The answer is A,B, and D

Step-by-step explanation:I just know lol

A person can pay $9 for a membership to the history museum and then go to the museum for just $1 per visit. For a member of the history museum, what is the total cost of 23 visits?

Answers

Answer:

$32

Step-by-step explanation:

  Step one:

Given that membership is $9 and the cost per visit is $1

let the number of visits be x

and the total cost be y

the total cost  for the situation is modeled as

y=mx+c-----equation of a line

   Step two:

given that x=23, we can solve for the totals cost as

by substituting we have

y=1*23+9

y=23+9

y=32

The total cost for 23 visits is $32

Simplify the following expression. (19x + 4y) + (49x + 32y)

Answers

Answer: 68x + 36y

Step-by-step explanation:

Combine Like Terms:

= 19x + 4y + 49x + 32y

= (19x + 49x) + (4y + 32y)

= 68x + 36y

Hope this helped you!

Answer:

68x + 36y

Step-by-step explanation:

You can compeletely get rid of the parenthesis because it is addition through and thorough.

You have 19x + 4y + 49x + 32y

You can combine like terms to get

19x +49x which is 68x

and

4y + 32y which is 36y

You now have 68 + 36y which cannot be simplified anymore because the variables are different.

Hope this helps!

Help please, question attached

Answers

Answer:

C. x = 8

Step-by-step explanation:

We know that x · x · x is equal to 512. We know it cannot be negative because then the 512 would be negative. -2 x -2 x -2 is -8. -2 x -2 is 4. We know it cannot be B x = -6 or D. x = -8.

Let's multiply 6 x 6 x 6.

                           36 x 6 = 216.

Let's multiply 8 x 8 x 8.

                          64 x 8 = 512

                               

The answer would be C. x = 8.

I hope that this helps! :)

Answer:

8

Step-by-step explanation:

x³ = 512

x³ = 8³

Cube root on both sides,

x = 8

What number would go in the blank? 4 x 6 = 6 x ___
6

4

10

Answers

( 4 )is this 1st grade or something?

Answer:

4

Step-by-step explanation:

4 x 6 = 6 x 4

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