The total perimeter of the fence is 68 ft and the area is 240 square feet. Based on this information, what are the dimensions of the fence?

Answers

Answer 1

Answer:

6ft by 40ft

Step-by-step explanation:

Perimeter = 2(L+W)

Area = LW

L is the length of the fence

W is the width

Given

P = 68ft

A = 240ft²

Substitute into the formula

68 = 2L+2W ... 1

240 = LW... 2

From 1;

34 = L+W

L = 34-W ... 3

Substitute 3 into 2

From 2;

LW = 240

(34-W)W = 240

34W - W² = 240

- W²+34W = 240

W²-34W - 240 = 0

W²+6W-40W - 240 = 0

W(W+6)-40(W+6) = 0

W-40 = 0

W = 40feet

Since

34 = L+W

34 = L + 34

L = 6ft

Hence the dimension of the fence is 6ft by 40ft


Related Questions

find the length of side x in simplest radical form with a rational d enominator. 60 X 30

Answers

Answer:

x = [tex]\frac{ 7\sqrt{3} }{3}[/tex]

Step-by-step explanation:

7 = [tex]x\sqrt{3}[/tex]

x = [tex]\frac{7}{\sqrt{3}}[/tex]

multiply numerator and denominator by [tex]\sqrt{3}[/tex]

x = [tex]\frac{ 7\sqrt{3} }{3}[/tex]

3n-(2+n) ??????????????????????????

Answers

Answer:

2n - 2

Step-by-step explanation:

[tex]3n-(2+n)\\\\3n-2-n\\\\3n-n-2\\\\\boxed{2n-2}[/tex]

Hope this helps.

3n -(2 + n)
3n - 2 - n
2n - 2

HURRY!!!!!!!!! Find the volume of a right circular cone that has a radius of 4 inches and a height of 12 inches.
A. 36 in.
B. 48 in.
C. 52 in.
D. 64 in.

Answers

Answer:

64 hope it helps

Step-by-step explanation:

Answer:

D. 64 in.

Step-by-step explanation:

Pleaseee helpppp answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

540°

General Formulas and Concepts:

Math

Counting

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Sum of Angles: 180(n - 2)°

Step-by-step explanation:

Step 1: Define

We are given a 5-sided polygon (irregular pentagon)

n = 5

Step 2: Find Sum

Substitute in n [Sum of Angles]:                                                                    180(5 - 2)°(Parenthesis) Subtract:                                                                                   180(3)°Multiply:                                                                                                           540°

Answer: 540

Step-by-step explanation:

[tex]{(n - 2) * 180}[/tex]

This is the formula for the sum of interior angles with side lengths n. Counting the sides we have 5 sides.

(5 - 2) * 180 = 540

i need help with this geometry assignment please.

Answers

Answer:

172.8 is the area of the parallelogram

Make w the subject of the formula z = w + 3

Answers

Answer:

w = -z(-w) + 3(-w)

Step-by-step explanation:

z = w + 3 | Given

-w + z = 3 | Subtract w from both sides.

-w = -z + 3 | Subtract z from both sides

w = -z(-w) + 3(-w) | Multiply -w on both sides.

The height (in feet) y of a bouncing ball and the time (in seconds) x since It was dropped, as shown in the graph below

Answers

Answer:

90 feet is the total distance,the total time will be the x value of the function's zero

Step-by-step explanation:

can someone help me please !

Answers

savings after 6 weeks: 96$

Answer:

Look below

Step-by-step explanation:

Because we know Jordan already has $60, and he makes $6 per week, allwe have to do is multiply 6 times the number of weeks he is saving, which is also 6. That comes out to 36, so he saves $36 in 6 weeks, but we are tyring to find the total amount, so we add 36 and 60 to get 96.

Therefore, Jordan saves $96 after 6 weeks.

The next part of the questions asks for an expression. In the expression, w represents the amount of weeks. So, since he already had the $60, the expression would be:

60 + 6w

Hope this helps :)

3r+2b

I will mark you brainliest

Answers

Answer:

3r + 2b is the simplest form, are you missing anything?

5rb sis it all you have to do is add them together

Which of the following is not a god/goddess in Norse Mythology
1 point
Odin
Thor
Loki
Venus

Answers

the answer to the question is Venus.

HELPPPPPPP?:))))))))))

Answers

Answer:

5. X = 2, Y = 3

6. X = 3, Y = 8

Step-by-step explanation:

For 5, it is easier to use the substitution method to solve. Plug the Y equation into the Y value of the first equation and simplify.

-3x - 2(5x-7) = -12

-3x - 10x + 14 = -12

-13 = -26x

x = 2

Then, plug the X value into either equation.

y = 5(2) -7

y = 3

For 6, it is easier to use the elimination method to solve. Multiply the first equation by 2 in order to eliminate 4y.

10x - 4y = -2

x + 4y = 35

Add these equations and simplify.

11x = 33

x = 3

Then, plug the X value into either equation.

3 + 4y = 35

32 = 4y

y = 8

Consider the equation:
0 = x^2 - 10x + 10
1) Rewrite the equation by completing the square.
Your equation should look like (x + a)2 = b or (x - c)2 = d.

Answers

x² - 10x + 10 = 0

Isolate the constant term

x² - 10x = -10

Complete the square
• coefficient of the x term: -10
• divide in half: -5
• square it: (-5)² = 5²
• add 5² to both sides, to complete the square and keep the equation balanced:
x² - 10x + 5² = -10 + 5²
(x-5)² = 15

Answer:

1) We can rewrite the equation as 15=(x-5)^2

2) The solutions to the equation are x=5±15

Noah, Luke, Aaron and Nick are playing Pictionary. Noah and Luke scored 135 points while Aaron and Nick scored 160 points. How many points did they have all together and who won?

Answers

Answer:

Total points scored by all together = 290 points.

Aaron and Nick wins.

Step-by-step explanation:

As given,

Total point scored by Noah and Luke = 135 points

Total point scored by Aaron and Nick = 160 points

Now,

Total points scored by all together = Total point scored by Noah and Luke +                                                                                  Total point scored by Aaron and Nick

⇒Total points scored by all together = 135 + 160 = 290 points.

As ,

160 > 135

⇒Total point scored by Aaron and Nick > Total point scored by Noah and Luke

∴ we get

Aaron and Nick wins.

9 m =
dm
10 dmx
dm
11
1 mx
9 m
WORTH 35 POINTS PLS HELP ME!

Answers

Answer: Answer on the bottom below

Step-by-step explanation: And p.s this is worth 18 points because it needed to divide the points in two.- Have a brilliant day mate ^_^

Guys........my brain hurts lol, can yall help me please

Answers

Step-by-step explanation:

9>-2y/7+19

-2y/7> -10

-2y> -70

-y> -35

y < 35

What is the number of degrees the minute hand of a clock moves between 10:21 and 10:34 pm on the same day?

Answers

.

Step-by-step explanation:

The correct answer is 78

HRW CAN U TRY AND HELP OLZZZZZ !!!!

Answers

Answer :  I thinks it’s 3

Describe how a root can be written using a rational exponent. Give an example.

Answers

Answer:

sqrt(x)=x^1/2

Step-by-step explanation:

The root of a number is the same as writing that number to 1 over the root. In a square root, it is what number multiplied by itself (x*x), as you can see there are two, so it is that number to the 1/2 power. another example is something to the seventh power. that is calculating what number multiplied by itself 7 times would equal the nmber you are taking the root of. (x*x*x*x*x*x*x) so this would be a number to the 1/7 power.

what is the area of the sidewalk​

Answers

Answer: 105 square feet

Step-by-step explanation:

area is length x width 35 x 3 is 105

Answer: 150 square feet

Plz i need help on a math problem it is 1/4 divided by 2 then go back to 1/4 and divide it again but by 3 then go back to it again and divide it by 4 then go back to 1/4 and divide it by 5 plz someone help me!!!!

Answers

Answer:

(1) 1/8

(2) 1/12

(3) 1/16

(4) 1/20

Step-by-step explanation:

We need to find multiple divisions, it says  1/4 divided by 2 then go back to 1/4 and divide it again but by 3 then go back to it again and divide it by 4 then go back to 1/4 and divide it by 5.

We will take one by one

(1) 1/4 divides by 2 will be  = 1/8

(2) 1/4 divided by 3 = 1/12

(3) 1/4 divided by 4 = 1/16

(4) 1/4 divided by 5 =1/20

These results are obtained by dividing the given parts, as the given Numerator is in fraction so whatever will be divided from the fractional numerator will get multiplied with the denominator.

 

Mrs. Pascal has a candy jar that contains 5 Jolly Ranchers and 13 jawbreakers. Solve each of the following problems and explain your thinking. Suppose that you have a candy jar with the same ratio of Jolly Ranchers to jawbreakers as in the previous problem, but it contains 720 candies. How many of each kind of candy would you have?

Answers

Answer:

Step-by-step explanation:

The ratio is 5:13 and the total number of candy is 18. If the total amount of candy increased by 40x then both candy values would increase by 40x. There are 200 Jolly ranchers and 520 jawbreakers.

PLEASE HELP. i have one hour to get this done and i have no clue what to do on this bonus question i need to pass!! look in the photo for the question and image!!

Answers

Answer: the perimeter is 214. AB's half is 32.5 and BC's whole is 65

Step-by-step explanation: 10x-5 and 12x-26 are equal, as shown by the marks on their lines, so we can set them equal to each other to solve for x. when solved x=7. then plug 7 into each equation to get 65. lastly add up 84+65+65 to get 214.

AB= 32.5
BC= 65
perimeter : 214

10x-5=13x-26
-10x +26

21=3x
7=x

AB: 10(7)-5
70-5
65

BC: 13(7)-26
65


65(.5)= 32.5

perimeter: 65+65+84= 214

What fraction of the shape is shaded?​

Answers

Answer: 2/4 simplified: 1/2

Step-by-step explanation:

Answer:

2/4

I hope this helps :D

12. Match the function with the correct parabola.
с
9(x) = -x + 3
h(x) = 4x2
b
j(x) = -²
d
Mee

Answers

Step-by-step explanation:

a x^2/4

b -x^2/4+3

c 4x^2

d -x^2

find the probability of getting a prime number on the dice and head on the coin when a dice is rolled and a coin is tossed simultaneously. ​

Answers

Answer:

1/4

Step-by-step explanation:

For a die,

the number of possible results is 6

The prime numbers are 2,3,5

the probability of getting a prime number is thus; 3/6 = 1/2

Tossing a coin, the probability of getting a head is also 1/2

So the probability of getting both on a single toss will be;

1/2 * 1/2 = 1/4

The probability of getting both on one toss will be "[tex]\frac{1}{4}[/tex]".

According to the question,

The number of possible results,

6

Prime numbers,

2, 3 and 5

Now,

The probability of getting a prime number will be:

= [tex]\frac{3}{6}[/tex]

= [tex]\frac{1}{2}[/tex]

then, by tossing the coin head's probability is "[tex]\frac{1}{2}[/tex]".

hence,

Getting both on single toss will be:

= [tex]\frac{1}{2}\times \frac{1}{2}[/tex]

= [tex]\frac{1}{4}[/tex]

Thus the above answer is right.

Learn more about probability here:

https://brainly.com/question/23276848

How many 14 inch cubes does it take to fill a box with width 314 inches, length 234 inches, and height 114 inches?

Answers

Answer:

Step-by-step explanation:

First you need to find the area then divide that by 14

5.
2 ...
13. 1.4
Imagine that
you
and a friend
go to a local ramen shop for dinner. At this
Restaurant, each regular bowl of ramen is $725. Drinks are $1.50 each.
ramen
and
your
friend eat if you
ordered 2
How many regular bowls of did
you
drinks each and
your
total was $49.50?
a. Write an equation to represent the situation using X to represent the #
of bowls
you
and
your
b. I
friend ate.

Answers

Answer:

6 bowls of ramen eaten by you & your friend

Step-by-step explanation:

The question appears pretty choppy for me. I'll answer what I think you're asking and update in the comments if needed.

Imagine that you and a friend go to a local ramen shop for dinner at this restaurant, each regular bowl of ramen is $7.25. Drinks are $1.50 each. How many regular bowls of ramen did you and your friend eat if you ordered 2 drinks each and your total was $49.50?

a. Write an equation to represent the situation using x to represent the # of bowls you and your friend ate.

4($1.50) + $7.25x = $49.50

6 + 7.25x = 49.50

subtract 6 from both sides

7.25x = 43.50

divide both sides by 7.25

x = 6

Checking the math:

4(1.5) + 6(7.25) = 6 + 43.50 = 49.50

4 drinks, 6 bowls of ramen for $49.50

You are choosing between two different cell phone plans. The first plan charges a rate of 25 cents per minute. The second plan charges a monthly fee of $44.95 plus 11 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?

Answers

Answer:

14 seconds will be preferable for the second plan

I need help please ):
And if u don’t know the answers do not comment anything because i'm really looking for help!

Answers

Answer:

x=16

Step-by-step explanation:

13. Which expressions are equal?
a. 2(x + 3) + 2x and 4x + 3
b. 3(x + 2) + 4x and 7x + 6
C. 5x + 2(x + 4) and 6x + 8
d. 4 + 5(x + 2) and 5x + 11

Answers

Answer:

B

Step-by-step explanation:

3 x X = 3x 3 x 2 = 6 so 4x + 3x = 7x +6

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