A pool measuring 12 meters by 26 meters is surrounded by a path of uniform​ width, as shown in the figure. If the area of the pool and the path combined is 576 square​ meters, what is the width of the​ path?

The width of the path is __?__ meters

Answers

Answer 1

Answer:

path width = 3 m

Step-by-step explanation:

let x = the width of the path

(12 + 2x)(26 + 2x) = 576

312 + 24x + 52x + 4x² = 576

4x² + 76x - 264 = 0

divide both sides of the equation by 4:

x² + 19x - 66 = 0

(x + 22)(x - 3)= 0

x = 3 m


Related Questions

The graph of g(x) is a translation of y = RootIndex 3 StartRoot x EndRoot.

On a coordinate plane, a cube root function goes through (negative 6, negative 2), has an inflection point at (4, 0), and goes through (10, 2).

Which equation represents g(x)?

g(x) = RootIndex 3 StartRoot x minus 4 EndRoot
g(x) = RootIndex 3 StartRoot x + 4 EndRoot
g(x) = RootIndex 3 StartRoot x EndRoot + 1.5
g(x) = RootIndex 3 StartRoot x EndRoot minus 1.5

Answers

Answer: g(x) = RootIndex 3 StartRoot x + 2 EndRoot

Step-by-step explanation:

The equation that represents g(x) is [tex]g(x)= \sqrt[3]{x - 4}[/tex]

The graph of the function is given as:

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

The above graph passes through the origin.

So, the function can be rewritten as:

[tex]y -0= \sqrt[3]{x - 0}[/tex]

The above function has an inflection point at (0,0).

The translated function is said to have its inflection point at (4,0).

So, the translated function is:

[tex]y -0= \sqrt[3]{x - 4}[/tex]

Subtract 0 from y

[tex]y= \sqrt[3]{x - 4}[/tex]

Express y as a function of x

[tex]g(x)= \sqrt[3]{x - 4}[/tex]

Hence, the equation that represents g(x) is [tex]g(x)= \sqrt[3]{x - 4}[/tex]

Read more about translation at:

https://brainly.com/question/4057530


Ben ran 2/3 of a mile and walked 5/12 of a mile. How much farther did Ben run than walk?

Answers

Answer:

1.016 of a mile.

Step-by-step explanation:



Touch screen maze portfolio if you need more info please comment on the question not answer it all troll answers will be removed

Answers

A maze game can be constructed successfully by abiding by the specified guidelines in a systematic manner. Here is a comprehensive guide consisting of multiple steps to create it:

What are the steps?

1. Initially, plot the initiation point and conclusion point across different quadrants.

2. Commence the game: Participants must start from the starting point and locate the ending spot through the shortest possible route.

3. Illustrate two sample games through drawing colored paths utilizing pencils or markers which should then be described using coordinates for each route.

4. Compute the overall distance travelled by extracting geographical details available from the used path's coordinates via the distance formula.

5. Finally, determine the most concise path course among all other alternatives.

Learn more about game on

https://brainly.com/question/908343

#SPJ1

Using the following data, calculate the mean absolute deviation: 7 2 8 5 9 9 5 6 8 1 What is the mean absolute deviation for these data? (4 points)​

Answers

Answer:

The mean absolute deviation is 2. Hope this helps

Step-by-step explanation:

7+2+8+9+9+5+6+8+1=5.5

7-5.5=1.5

5.5-2=3.5

8-5.5=2.5

9-5.5=3.5

9-5.5=3.5

5.5-5=0.5

6-5.5=1.5

8-5.5 2.5

5.5-1=4.5

1.5+3.5+2.5+3.5+3.5+0.5+1.5+2.5+4.5=2

Answer is 2.

I hope this can help!

Have a nice day :)

~Amy

Please can someone help me thank you

Answers

Answer:

(a) Rome= 11 degrees

Munich= 5 degrees

Difference = 11-5 = 6 degrees

(b)

Oslo= 2 degrees

At 6pm= 2+5= 7 degrees

1 Which expression can be used to find the volume, in cubic centimeters, of the solid shown? Choose all that apply. 3 cm 4 cm 7 cm 5 cm 9 cm A (3 X 4 X 5) + (3 X 5 X 9) B (3 X 5 X 6) + (5 X 4 X 3) C (9 X 5 X 3) + (3 X 5 X 7) D (7 X 5 X 3) + (6 X 5 X 3) E (3 X4 X 7) + (6 X 5 X 4)​

Answers

Answer:

I think its D

Step-by-step explanation:

Flask Company reports net sales of $2,620 million; cost of goods sold of $2,230 million; net income of $450 million; and average total assets of $2,090 million. Compute its total asset turnover.

Answers

Answer:

to me it is at least $3000

Let V=(2,8) and W=(-1,-4)

which of the following is true?
check all that apply,

A.) The x-component of V is 2
B.) V= -2W
C.) V·W= -34
D.) V and W are perpendicular ​

Answers

Answer:

B, and W are correct i think

Step-by-step explanation:

Answer:

A.) The x-component of V is 2

B.) V= -2W

C.) V·W= -34

WILL GIVE BRAINLIEST TO BEST EXPLAINOR

how do you find and (draw) graph slope.​

Answers

Answer:

y=-x+4

The equation is in the form y=mx+c, where m is the slope and c is the y-intercept, so we know that the slope (m) is -1, and the y-intercept (c) is 4.

The y-intercept is the value of y when x=0. So you can mark (0,4) as a point on the line.

The next thing I would do is take any value for x and find another point on the line. Let's let x=2:

y=-2+4

y=2

So now we know another point on the line (2,2). Mark this on the graph too.

Then connect these two points and extend to the line to finish off your graph, and you're done!

(PS: if the whole 'y-intercept' thing gives you a headache, you can just pick any two values for x, sub them in to find the points, mark those points and connect. There's also a method for graphing using just the slope and y-intercept, but the method above is usually what people prefer to do)

I've attached a sketch that corresponds to my answer to give you an idea:

The cost of 12 oranges and 7 apples is 5.36. Eight oranges and 5 apples cost 3.68. Find the cost of each

Answers

Answer:

Apple costs $0.26

and orange costs $0.32

sorry i don't have time to explain but if u have doubts don't hesitate to ask

Make two equations
O = orange, A = allele
(12O + 7A = 5.36) 2
(8O + 5A = 3.68) 3
Make one of them same coefficient
24O + 14A = 10.72
24O + 15A = 11.04
Subtract both equations
-1A = -0.32
A = 0.32
24O + 14(0.32) = 10.72
24O + 4.48 = 10.72
24O = 6.24, O = 0.26
Solution:
One apple = $0.32
One orange = $0.26

(x +y )(x -y), if x = -3, y=-5
PLS NO FILES OR I AM REPORTING YOU

Answers

Answer:

-16

Step-by-step explanation:

(X + Y)

= (-3 + -5)

= -8

(X - Y)

= (-3 - -5)

= 2

Because  they're still in brackets in this form:

(-8) (2)

You multiply them both and you'll get the answer:

-16

hope this helped!

(2/5)^3=

anybody help???

Answers

Answer:

8/ 125

Step-by-step explanation:

8/ 125

Answer:

8/125

Step-by-step explanation:

I think. you can use the app photo math

Please help
here the question
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account.

A)
Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks.
I ALREADY SOLVED A BUT I NEED HELP WITH B!!




B) Rosalina wants to save $700 for the new smart tv write and equation to determine how many weeks (x) it will take for rosalina to have enough money to purchase her new tv
HELP ME PLEASE WITH B I ALREADY SOLVED A

THANK YOU!!​

Answers

Answer:x=18

Step-by-step explanation:

if she deposites 40 every week 40 times 18 is 720 so in 18 weeks she can have a t.V

Tyler is going to the movie theater with two of his friends. In addition to purchasing a ticket, each of them also buys a box of popcorn for $5.50. If the total amount the three friends spent altogether is $41.25, then what is the cost for a movie ticket?

Answers

Answer:

29.25

Step-by-step explanation:

bc trust me I promise


Simplify the expression 16 3\4

Answers

Answer:

12

Step-by-step explanation:

hope it helps

see attached

Help me out
Answer required ​

Answers

Answer:

a) True

b) False

c) True

d) False

e) True

f) False

g) True

h) False

i) True

j) False

plz mark me as brainliest

SECONDARY MATH III // MODULE 5

MODELING WITH GEOMETRY - 5.5

Answers

Answer:

Its Spring break pls relax

Step-by-step explanation:

Lena purchased a prepaid phone card for $15. Long distance calls cost .17 cents a minute using this card. Lena used her card only once to make a long distance call. If the remaining credit on her card is $7.01, how many minutes did her call last?

Answers

Answer: 47 minutes

Step-by-step explanation:

Answer:

47 minutes is the answer

Need some help a little bit stuck

Answers

Answer:

SA = 240

Step-by-step explanation:

SA = (10*10) + (8*10) + (6*10)

SA = 240

Question 3 A study was performed to determine whether men and women differ in their repeatability in assembling components on printed circuit boards. Random samples of 25 men and 21 women were selected, and each subject assembled the units. The two sample standard deviations of assembly time were s Subscript men Baseline equals 0.98 minutes and s Subscript women Baseline equals 1.02 minutes. (a) Is there sufficient evidence to support the claim that men and women differ in repeatability for this assembly task at the 0.02 level of significance

Answers

Answer:

There is no sufficient evidence to support the claim that men and women differ in repeatability for this assembly task

Step-by-step explanation:

Given

Let subscript 1 represent men and 2 represent women, respectively.

[tex]n_1 = 25[/tex]

[tex]n_2 = 21[/tex]

[tex]s_1 = 0.98[/tex]

[tex]s_2 = 1.02[/tex]

[tex]\alpha = 0.02[/tex]

Required

Determine if here is enough evidence

First, we need to state the hypotheses

[tex]H_o: \sigma_1^2 = \sigma_2^2[/tex]

[tex]H_1: \sigma_1^2 \ne \sigma_2^2[/tex]

Next, calculate the test statistic using:

[tex]F = \frac{s_1^2}{s_2^2}[/tex]

[tex]F = \frac{0.98^2}{1.02^2}[/tex]

[tex]F = 0.923[/tex]

Calculate the rejection region;

But first, calculate the degrees of freedom

[tex]df_1 =n_1 - 1[/tex]

[tex]df_1 =25 - 1[/tex]

[tex]df_1 =24[/tex]

[tex]df_2 = n_2 -1[/tex]

[tex]df_2 = 21 - 1[/tex]

[tex]df_2 = 20[/tex]

Using the F Distribution:  table

[tex]c = \frac{\alpha}{2}[/tex]

[tex]c = \frac{0.02}{2}[/tex]

[tex]c = 0.01[/tex]

At 0.01 level (check row 20 and column 24), the critical value is:

[tex]f_{0.01,24,20} = 2.86[/tex] --- the upper bound

At 0.01 level (check row 24 and column 20), the critical value is:

[tex]f_{0.01,20,24} = 2.74[/tex]

Calculate the inverse F distribution.

[tex]f_{0.99,20,24} = \frac{1}{f_{0.01,20,24}} = \frac{1}{2.74} =0.365[/tex] ---- the lower bound

The rejection region is then represented as:

[tex]0.365 < Test\ Statistic < 2.86[/tex]

If the test statistic falls within this region, then the null hypothesis is rejected

[tex]F = 0.923[/tex] --- Test Statistic

[tex]0.365 < 0.923 < 2.86[/tex]

The above inequality is true; so, the null hypothesis is rejected.

This implies that, there is no sufficient evidence.

find the value of x in the isosceles triangle shown below

Answers

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

[tex]x=\sqrt{52-4^2}=6[/tex]

ANSWER=

X=6


MARK ME BRAINLIEST PLEASE

!!MATH!! !!100 POINTS!! !!WILL MARK BRAINLIEST!!

Answers

Answer:

PQO = 180

OQR = 180

PQR = 220

Step-by-step explanation:

brainliest

There are 12 boys and 15 girls in your class for new students three boys and one girl join your class what is the ratio of the class before the new students and after the new students arrived

Answers

Before the new kids the ratio of girls to boys is 15:12 because there are 15 girls and 12 boys now you can simplify by dividing 15 by 3 and 12 by 3 to get 5:4 as your simplified ratio. As far as after the new kids. Since there is 1 new girl you do 15+1 to get 16 and there are 3 new boys so you do 12+3 to get 15 now 16:15 is already in simplest form so your answer is:

Before: 15:12 simplified as 5:4
After 16:15

Answer:

4/5 : 15/16

Step-by-step explanation:

Ok let's write the ratio of boys to girls before the new students arrived

12 : 15

Simplify :

12/3:15/3

4 : 5

Lets write the ratio of students after the new students arrived

15 : 16

Cannot be Simplified.

We have two ratios

Lets write them as fractions

4 : 5 = 4/5

15 : 16 = 15/16

The new ratio should be

4/5:15/16

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

the product of two rational numbers is -12 if one of the number is -8 find the other

Answers

Answer:

The other number is [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The product of two rational numbers, x and -8, is -12. This means that:

[tex]-8x = -12[/tex]

The other number is x, which we find solving the equation. So

[tex]8x = 12[/tex]

[tex]x = \frac{12}{8} = \frac{4}{3}[/tex]

The other number is [tex]\frac{4}{3}[/tex]

what angle is this I need help​

Answers

neither i believe i’m sorry

ruby has 202 minutes left on her cell phone plan for the next 5 days. is it possible for ruby to use the same number of whole minutes each day? explain.

Answers

Answer:

no, 202 is not evenly divisible by 5

Step-by-step explanation:

Need help alegbra!!! Look at photo for question!!

Answers

Answer

74+2

Step-by-step explanation:

Can someone help me solve this one step equation

Answers

Answer:

b = -108

Step-by-step explanation:

Step-by-step explanation:

Given

[tex] - 6 = \frac{b}{18} \\ cross \: multiply \\ b = - 6 \times 18 \\ b = - 108[/tex]

Hope it will help :)❤

Chris can drive 41 miles for every 3 gallons of gas. At this
rate, how many gallons of gas will he need to travel to his
in-laws' house, 369 miles away?

Answers

Answer:

27 gallons

Step-by-step explanation:

If for every 41 miles, 3 gallons are needed. Using what we know, 369 ÷ 41 = 9. This means, to get 369 miles, we need to times the first amoiyng of gallons needed to drive 41 miles, which is 3, and times it by 9. (3×9=27) Therefore, 27 gallons of gas is needed.

Solve the system of equations by graphing

Answers

Answer:

Step-by-step explanation:

Other Questions
what do you know about policy? Describe two different way to find the product 4x2/3 I added the question and the example for reference. Please help! whoever is correct i will give brainliest! Will give brainliest! Need help fast please....Margo is interested in pursuing a degree in agriculture. To decide on a career field, what should she consider first?desired working conditions and lifestylehistory of agriculture and benefitstypes of livestock and crop productioninnovations in farming and necessary education Pls help ASAP I dont really know hot to multiply that what is the plot of the movie australia? How many years will it take for your salary to be $105,000 per year? HELP PLEASE AND ASAP!!!!! look at the screen shot (10 pts) 1234510TIME REMAINING52:09AbcRead the lines from Shakespeare's "Sonnet 131."Thou art as tyrannous, so as thou art,As those whose beauties proudly make them cruel;For well thou know'st to my dear doting heartThou art the fairest and most precious jewel.How do the central ideas in the sonnets relate to eachother?Now read the lines from Shakespeare's "Sonnet 130."And yet, by heaven, I think my love as rareAs any she belied with false compare.O They are similar because both are about the angelicbeauty of a woman.O They are similar because both are about love for awoman others may find lacking.O They are different because the first is about pride,while the second is about love.O They are different because the first is about truelove, while the second is about betrayal. A cylindrical bar of metal having a diameter of 19.9 mm and a length of 186 mm is deformed elastically in tension with a force of 42600 N. Given that the elastic modulus and Poisson's ratio of the metal are 67.1 GPa and 0.34, respectively, determine the following: (a) The amount by which this specimen will elongate (in mm) in the direction of the applied stress. (b) The change in diameter of the specimen (in mm). Indicate an increase in diameter with a positive number and a decrease with a negative number. One question that needs to be asked before the views of a particular interest group are allowed too much influence over public policy is: Please help will give brainliest How was the Nazi soviet Pact surprising ? CAN SOMEONE HELP ME WITH THESE! 11 inches in miles? 24.5 km in miles? Help plssss I need to find mr pryor account balance PLSSSSSSSS SOMEONE HELPPPP How do these illustrate the power of the Church during the Middle Ages Someone pls help Convert each of these statements into a question using inversion!!!1. Vous tudiez le problme?2. C'est de l'informatique.4. Nous sommes reus l'examen.4. Il y a des devoirs.5. Elle parle au tlphone. What is the name of the National Historic Landmark at Pearl Harbor that wasbombed on December 7, 1941, and led to the United States' entry into WWII? Thislandmark provides boat accessibility to see the essential sunken remains of thebattleship that was taken down in the attack, which killed over 1,100 people.Diamond HeadWaikiki BeachLe ahiUSS Arizona Memorial