Nick and lisa are building a square pond in their backyard. They wish to put a 2 foot wide brick border around the outside. If the total area of the border and the pond is 196 square feet, find the length of the side of the pond.

Answers

Answer 1

Answer:

the length of the pond is 10 feet.

Step-by-step explanation:

The computation of the length of the pond side is shown below:

Let us assume the length of the pond side be x feet

Now the one side length with the brick border is x + 4

And, the pond is 196 square feet

Now the equation would be

(x + 4)^2 = 196

(x+4) = 14

x = 10

Therefore, the length of the pond is 10 feet.

Answer 2

The length of each side of the pond is required.

The length of the side of the pond is 10 feet.

Area

Let [tex]x[/tex] be the length of each side of the pool.

If the brick layer is 2 foot wide the size then 2 foot would be added to all the sides of the pool.

The length of each side would be [tex]x+2+2=x+4[/tex]

The area of the pool is [tex]196[/tex] square feet.

So,

[tex](x+4)^2=196\\\Rightarrow x+4=\sqrt{196}\\\Rightarrow x+4=\pm14\\\Rightarrow x=10,-18[/tex]

Since, negative number cannot be the length.

[tex]x=10\ \text{feet}[/tex]

Learn more about area:

https://brainly.com/question/25292087


Related Questions

Can someone please helpp

Answers

Answer:

B

Step-by-step explanation:

Kelly sold digital cameras on her web site. She bought the cameras for $56 each and included a 65% markup to get the selling price. To the nearest dollar, what was the selling price for one camera?

Answers

Answer:

$36

Step-by-step explanation:

65% of 56 = 36.4

36.4 Rounded is 36.

The Selling Price for One Camera is $36.

Hope this Helped! :D

help me please please​

Answers

Answer:

14

Step-by-step explanation:

The given expression is 3x - 8y. The given values for x and y are 10 and 2, respectively. So, input the values of x and y into the expression:

3(10) - 8(2)

30 - 16

14

The value of the expression is 14.

Hope this helps :)

10 – 5y = 2(14-y)
solve. show ur work

Answers

Answer:

The answer is y= −6

Step-by-step explanation:

Let's solve your equation step-by-step.

10−5y=2(14−y)

Step 1: Simplify both sides of the equation.

10−5y=2(14−y)

10+−5y=(2)(14)+(2)(−y)(Distribute)

10+−5y=28+−2y

−5y+10=−2y+28

Step 2: Add 2y to both sides.

−5y+10+2y=−2y+28+2y

−3y+10=28

Step 3: Subtract 10 from both sides.

−3y+10−10=28−10

−3y=18

Step 4: Divide both sides by -3.

−3y/−3=18/−3

y=−6

Answer:

y=−6

Answer:

y= -6

Step-by-step explanation:

10-5y=2(14-y)

10-5y=28-2y

10-5y+2y=28

-3y=28-10

-3y=18

y= -6

someone please help! i’ll give you a cookie

Answers

I am not sure if I am correct but I think it is C

Answer:

C

Step-by-step explanation:

The open door policy was made that would allow for a system of trade in China open to all countries equally.

What is the Value of X?

Answers

The value of x is 80
X equals 80
Needs to be 20 characters

Place these numbers in order from greatest to least:
.27, 25%, 13/50, .274, 7/25, 30%

Answers

Answer:27, 0.3, 7/25, 0.274, 13/50, 0.25

Step-by-step explanation:

A is Plotted on a coordinate grid at (-3 1/2,2) Choose the right grid that best shows the location of the point​

Answers

Answer:

B

Step-by-step explanation:

Because I'm doing the same question right now.

osted a new question: Solve: 3x+1= 7​

Answers

Answer: 3x + 1 = 7 (combine like terms)

3x = 6 (divide by 3)

X =2

Step-by-step explanation:

In answer

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]3x+1= 7[/tex]

[tex]3x = 6\\ \[/tex]             Subtract both sides by 1.

[tex]\frac{3x}{3} = \frac{6}{3}[/tex]             Divide both sides by the coefficient.

[tex]x = 2[/tex]

Check your work:

[tex]3x+1=7 \\ 3(2)+1=7[/tex]      

[tex]6+1=7\\7=7[/tex]        

[tex]x=2[/tex]

ONLY HAVE 6 MINS HELP PLZ ILL MARK BRAIN

A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week.

a.)Create a system of equations or inequalities that models the situation. Define the variables you use.

B.)The graph shows one of the relevant equations in this situation. Draw the graph of the other relevant equation on the same coordinate plane.

c.)Use the graph above to show all the points that represent the number of hours the student can work at each job and meet his goal. Explain your reasoning.

Answers

Answer:

a

Step-by-step explanation:

Answer:

(20,20)

Add a line through there and shade the middle area

Please Help Quick ASAP Hurry
Choose the best answer. Which fraction is greater than 7/12?
A. 5/9
B. 2/3
C. 1/2
D. 2/5

Answers

Answer: 2/3

Step-by-step explanation: use scratch work and compare the shaded amounts.

It’s B. 2/3 because 2 divided by 3 is o.6666667 and 7/12 is 0.583333333333

Are the triangles congruent? If so, which of the 5 ways to prove triangles congruent could you use?

Answers

We can prove that these triangles are congruent by using SAS congruency rule.

SAS which means Side Angle Side.

In these triangles, we see that two sides are equal in length and one angle is equal.

So, SAS congruency rule is the answer.

What is 62400 millimeters in meters?
state your solution

Answers

Answer:

62.4 meters

Step-by-step explanation:

1 millimeters to 0.001 meters

62400 * 0.001 = 62.4

Answer:

0.624m

Step-by-step explanation:

62400mm in cm is 62.4cm

there is 100cm in a meter so you don't have a total of 1m

therefore you divide it by 100 after you convert to cm

3w + 7 - 9w help me answer !

Answers

Answer:

-12w+7

Step-by-step explanation:

because you have to combined like terms

the answer to your question is -6w + 7

sorry if i'm wrong

plz i want the answer

Answers

Answer:

Step-by-step explanation:

1. 3(5) plus 2 = 17

2. 2(5)^2 = 25(2) = 50

3. (5-2)^2 =3^2 = 9

X=5

y=2

then a: 3*5+2=17

b:2*5*5=50

c:5-2=3*3=9

a=17

b=50

c=9

this is pretty easy im just lazy and i dont want to do it<3

Answers

Answer:

I can't read is so blurry -0_0-

Step-by-step explanation:

Please help and answer

Answers

Answer:  choice C

Step-by-step explanation:

sorry if wrong

Answer:

c

Step-by-step explanation:

c

because its c but its c

Nick can type 30 words a minute.
How many words can be typed in 9.5 minutes?

Answers

Answer:

285 Words

Step-by-step explanation:

If in 1 minute he can type 30 words , then in 9.5 min he can type  30 x 9.5 = 285.0 = 285

So, Nick can type 285 words in 9.5 minutes.

Hope this Helps!

Hi! I need help with my hw! Repost since people could not see it.​

Answers

1. --2. Unit rate: 1,16 3. I added the (y-ints) by their (x-ints), and it had been a constant of 16.Ex: 0,0. starting point.      1, 16. 16/1      2, 32. 32/2      3, 48. 48/3      4, 64. 64/4      5, 80. 80/5 4. I would have 96 dollars. 5. By figuring out the unit rate.

As you can see from the rate of change, 1=16 and 0=0. You can tell by subtracting 48-32 and that'll give you the rate of change which is equivalent go 16. After 6 days, you'll get 96 dollars. I figured that out by adding the rate of change to 80 and that gave me the answer of 96.

Which sample is biased?
A.
interviews of random teenagers who attended a rock concert to find out which musician teens enjoy most
B.
a poll randomly surveying half of the students in grade 7 to find out which seventh-grade teacher at the school is most liked
C.
an online survey by a game development company taken after the game closes to find out which features of a new game players liked the most
D.
a questionnaire delivered to two employees from every department of an office to find out whether employees like the new coffee machine

Answers

Answer:

D

Step-by-step explanation:

sorry if im wrong, but first two say random and third one says its and online survey, so everyone takes it, but the fourth one just say "two employees" those could be anyone, from only fat people to people that dislike coffee.

Answer:

the anwer is A...

Step-by-step explanation:

i got it right

110°
х
z
у
Find the unknown angle measures

Answers

Answer:

     x  = z  = 70°

        y = 110°

Step-by-step explanation:

From the diagram, we have 4 angles;

To find y;

       110° and y are vertically opposite angles so they are equal.

 So, y  = 110°

Also, y and x lie on a straight line. Sum of angles on a straight line is 180°;

         y + x  = 180

        110 + x = 180

             x  = 180-110  = 70°

Also, x and z are vertically opposite angles and they are equal;

       x  = z  = 70°

        y = 110°

help asap will mark brainliest

Answers

Answer:

the last one

Step-by-step explanation:

its the last one because 1x3 is 3 so you need one with a 3, then 4x2 is 8 and theres half a side so its the last answer with half 3/4 on one side

When 2 probabilities are Mutually Exclusive, they do not have any outcomes in common.

true or false?

Answers

Answer:

what? is there a picture or document you can add?

Step-by-step explanation:

Does anyone know the answer to this????

Answers

Answer:

its 5x

Step-by-step explanation:

Answer:

5a

Step-by-step explanation:

By vertical angle theorem

Help the question is the picture

Answers

Answer:

a>-21(1/3)

Step-by-step explanation:

3/4a>-16

first thing is to divide both sides by 3/4 to isolate the variable.

Since it is not negative, the sign stays the same.  

-16/0.75=-21.3 repeating or just 1/3

I’m sorry I know how to do this but I’m really lazy. ❤️

Answers

Answer:

me too

Step-by-step explanation:


The idea of a rule that assigns outputs to inputs is very abstract. These rules often come in the
form of tables, but can also come in the form of equations, graphs, and ordered pairs.
Exercise #2: In the function below, the variable y is a function of the variable x:
y = x2 +10
Give the outputs for each of the following inputs. Show how you found your answers.
(a) x = 3
(b) x = -5
(c) x = 0
y = 5x - 3

Answers

I believe it would be b seeing that y could be a negative

Find the measure of the angle, PLEASE I NEED HELP-
I have a test review today, please can someone help me and show explanation.

Answers

Answer: A.82

have: x + 105 + x + 89 = 180

⇔ 2x + 194 = 180

⇔ 2x = 180 - 194 = -14

⇔ x = -14/2 = -7

=>  the measure of the angle is -7 + 89 = 82

Step-by-step explanation:

A storage box has a volume of 56 cubic feet and the base of the box is 4 by 1/2 feet what is the height of the box?

Answers

Answer:

h = 28

Step-by-step explanation:

volume of box = 56 ft³

base = 4

width = 1/2

height = ?

volume = base x width x height

56 = 4 x 0.5 x h

56 = 2h

h = 56 / 2

h = 28

therefore, the height of the box is 28 ft

You have to solve for x.

Answers

Answer: x=10

Step-by-step explanation: it is because 19x-10=180 so that means that x=10

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