A pool measuring 10 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 1380 square​ meters, what is the width of the​ path?

Answers

Answer 1

Answer:

112m

Step-by-step explanation:

A = lw

A = 10(26)

A = 260

1380 - 260 = 1120

1120 = 10(w)

1120 / 10 = 112


Related Questions

A rectangle has an area of 20 cm^2. What will the area be if the rectangle tripled in size?

Answers

Answer:

  180 cm^2

Step-by-step explanation:

For similar figures the ratio of areas is the square of the ratio of linear dimensions.

We take "tripled in size" to mean that the linear dimensions of the larger rectangle are 3 times those of the smaller rectangle. That means the area of the larger rectangle will be 3² = 9 times the area of the smaller one.

  Area = (3²)(20 cm²) = 180 cm² . . . . area after tripled in size

x^2 + 10x + 21 = 0

Solve for x using "Completing the Square"

Answers

Answer:

[tex]x=-7,-3[/tex]

Step-by-step explanation:

Completing the square means you are changing the polynomial so that it is a perfect square trinomial. Since the middle term is 10, we need the last term to be 25 since 5+5=10, thus, 5*5=25:

[tex]x^2+10x+21=0\\x^2+10x+21+4=0+4\\x^2+10x+25=4\\(x+5)^2=4\\x+5=\pm2\\x=-7,-3[/tex]

As you can see, because we change [tex]x^2+10x+21[/tex] to [tex]x^2+10x+25[/tex] by adding 4 to both sides, we were able to reduce it to [tex](x+5)^2[/tex], a perfect square, and solve the rest of the problem.

x= -3 & -7 to the quadratic equation!

You had $250 to spend on six hydro flask. After buying them you had $10 . How much did each flask cost?

Answers

Step-by-step explanation:

[tex]see \: if \: 10 \: are \: left \: then \: we \: hve \: spent \\ 250 - 10 = 240 \: dollars \\ [/tex]

hence

[tex]six \: flasks \: cost \: 240 \: dollars \\ so \: if \: we \: divide \: 240 \: by \: 6 \: we \: get \: 40 \: \\ [/tex]

so one flask costs 40$

How do I use Brainly math for solving stuff like this and how do I show my evidence on paper?

Answers

Answer:

a) 3

b) 1/3

Step-by-step explanation:

I've never used Brainly math before, but I can help you out with the work for these problems.

Part A

3(x + 1) - x = 15

3x + 3 - x = 15

4x + 3 = 15

4x = 12

x = 3

Part B

5(x + 2) - 2x = 11

5x + 10 - 2x = 11

3x + 10 = 11

3x = 1

x = 1/3

Hope this helps!

NO LINKS + CORRECT ANSWER GETS BRAINLIEST

An auditorium has 9025 seats arranged in rows and columns. Each rows contains as many as the total numbers of rows . Find the numbers of rows in the auditorium .

Answers

Answer:

95

Step-by-step explanation:

9025 is a perfect square of 95. hence the number of rows is 95.

☃︎ Answer :-

95

☃︎ Solution :-

Let the nuber of rows be x Number of columns = Number of = x Number of seats = Number of rows × Number of columns = 9025

[tex]☞︎︎︎ \: x \: \times \: x = 9025[/tex]

[tex]☞︎︎︎ \: {x}^{2} = (5 \times 5) \: \times \: (19 \times 19)[/tex]

[tex]☞︎︎︎ \: {x}^{2} = {95}^{2} [/tex]

[tex]☞︎︎︎ \: x \: = \sqrt{ {95}^{2} } [/tex]

[tex]☞︎︎︎ \: x = 95[/tex]

SourCandyy シ︎

which one is a vertical line through the point (3;5)​

Answers

A vertical line going through any given point would pass through the x-coordinate.

In this case, the x-coordinate is 3. Therefore, the vertical line that would pass through the point (3, 5) is x = 3.

Hope this helps!

What is the simplest form of the quotient? Simplify by rationalizing the denominator.

[tex]\frac{\sqrt{3x^{12} y^{10}}}{\sqrt{5x^{6} y^{3}}}[/tex]

A. [tex]5x^{3} y^3 \sqrt{15y}[/tex]
B. [tex]\frac{x^3 y^3 \sqrt{15y} }{5}[/tex]
C. [tex]\frac{\sqrt{15x^{18} y^{13}}}{5x^6 y^3}[/tex]
D. none of these

Answers

Answer:

[tex]5x^{3} y^3 \sqrt{15y}[/tex] is the right answer and other are wrong

Financial Literacy Paul earns $25 for grooming a dog plus $18.50
per day for boarding the same dog.
e. Write an equation to find the amount of money Paul earned m
for grooming a dog once and boarding it for any number of days d.
f. Make a table to find his earnings for 5, 6, 7, or 8 days. Then graph
the ordered pairs.

Answers

Answer:

e): m=18.50d + 25

Step-by-step explanation:

A website sells custom messenger bags in 4 sizes. For each​ size, there are 52 ​color/fabric combinations. Any of these 52 can be chosen for the​ left, center, and right panel. In​ addition, there are 18 different choices of binding​ color, 27 choices of logo​ color, 11 choices of liner​ color, and 49 choices of strap pad color. There are 4 choices for the interior style. The bag can be​ right- or​ left-handed. It can be ordered with or without a grab​ strap, a chiller​ insert, a camera​ insert, and a water bottle pocket. How many different bags are​ possible?

Answers

The correct answer is : 20,92,27,89,888 bags

find the value of x and y in the figure below​

Answers

Step-by-step explanation:

First find out the value of X and second find the value of Y and where is figure

How many symmetrical sides does a star have?​

Answers

Answer:

Depends on how many points the star has. For example, a 5 pointed star will have 5 lines of symmetry. Knowing this, you should be able to count using a diagram or drawing of the star

Which of the following lines are parallel?

Answers

Answer:

D&E, A&B

Step-by-step explanation:

It's pretty confusing but I know any of the answers with "c" in it is incorrect. The other options seem correct.

After begging his parents for 3 years, Ed is finally going to clown college! On the first day, his juggling instructor divides a box of bean bags equally among the 17 clowns in Ed's class. Each clown gets 4 bean bags. Which equation can you use to find the number of bean bags b in the instructor's box? Solve this equation for b to find the number of bean bags in the instructor's box. bean bags Questions

Answers

The equation that can be used to determine the number of bean bags in the instuctor's box is b = 17 x 4.

The number of bean bags in the instructor's box is 68.

What is multiplication?

Multplication is a mathematcial operation that can be used to determine the product of two or more numbers. The sign used to represent multiplication is ×.

To learn more about multiplication, please check: https://brainly.com/question/13814687

6 math questions, answer all please for all points

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

Recall that the projection of a vector [tex]u[/tex] onto [tex]v[/tex] is [tex]\displaystyle proj_vu=\biggr(\frac{u\cdot v}{||v||^2}\biggr)v[/tex].

Identify the vectors:

[tex]u=\langle-10,-7\rangle[/tex]

[tex]v=\langle-8,4\rangle[/tex]

Compute the dot product:

[tex]u\cdot v=(-10*-8)+(-7*4)=80+(-28)=52[/tex]

Find the square of the magnitude of vector v:

[tex]||v||^2=\sqrt{(-8)^2+(4)^2}^2=64+16=80[/tex]

Find the projection of vector u onto v:

[tex]\displaystyle proj_vu=\biggr(\frac{u\cdot v}{||v||^2}\biggr)v\\\\proj_vu=\biggr(\frac{52}{80}\biggr)\langle-8,4\rangle\\\\proj_vu=\biggr\langle\frac{-416}{80} ,\frac{208}{80}\biggr\rangle\\\\proj_vu=\biggr\langle\frac{-26}{5} ,\frac{13}{5}\biggr\rangle\\\\proj_vu=\langle-5.2,2.6\rangle[/tex]

Thus, B is the correct answer

Problem 2

Treat the football and wind as vectors:

Football: [tex]u=\langle42\cos172^\circ,42\sin172^\circ\rangle[/tex]

Wind: [tex]v=\langle13\cos345^\circ,13\sin345^\circ\rangle[/tex]

Add the vectors: [tex]u+v=\langle42\cos172^\circ+13\cos345^\circ,42\sin172^\circ+13\sin345^\circ\rangle\approx\langle-29.034,2.481\rangle[/tex]

Find the magnitude of the resultant vector:

[tex]||u+v||=\sqrt{(-29.034)^2+(2.481)^2}\approx29.14[/tex]

Find the direction of the resultant vector:

[tex]\displaystyle \theta=tan^{-1}\biggr(\frac{2.841}{-29.034}\biggr)\approx -5^\circ[/tex]

Because our resultant vector is in Quadrant II, the true direction angle is 6° clockwise from the negative axis. This means that our true direction angle is [tex]180^\circ-5^\circ=175^\circ[/tex]

Thus, C is the correct answer

Problem 3

We identify the initial point to be [tex]R(-2,12)[/tex] and the terminal point to be [tex]S(-7,6)[/tex]. The vector in component form can be found by subtracting the initial point from the terminal point:

[tex]v=\langle-7-(-2),6-12\rangle=\langle-7+2,-6\rangle=\langle-5,-6\rangle[/tex]

Next, we find the magnitude of the vector:

[tex]||v||=\sqrt{(-5)^2+(-6)^2}=\sqrt{25+36}=\sqrt{61}\approx7.81[/tex]

And finally, we find the direction of the vector:

[tex]\displaystyle \theta=tan^{-1}\biggr(\frac{6}{5}\biggr)\approx50.194^\circ[/tex]

Keep in mind that since our vector is in Quadrant III, our direction angle also needs to be in Quadrant III, so the true direction angle is [tex]180^\circ+50.194^\circ=230.194^\circ[/tex].

Thus, A is the correct answer

Problem 4

Add the vectors:

[tex]v_1+v_2=\langle-60,3\rangle+\langle4,14\rangle=\langle-60+4,3+14\rangle=\langle-56,17\rangle[/tex]

Determine the magnitude of the vector:

[tex]||v_1+v_2||=\sqrt{(-56)^2+(17)^2}=\sqrt{3136+289}=\sqrt{3425}\approx58.524[/tex]

Find the direction of the vector:

[tex]\displaystyle\theta=tan^{-1}\biggr(\frac{17}{-56} \biggr)\approx-17^\circ[/tex]

Because our vector is in Quadrant II, then the direction angle we found is a reference angle, telling us the true direction angle is 17° clockwise from the negative x-axis, so the true direction angle is [tex]180^\circ-17^\circ=163^\circ[/tex]

Thus, A is the correct answer

Problem 5

A vector in trigonometric form is represented as [tex]w=||w||(\cos\theta i+\sin\theta i)[/tex] where [tex]||w||[/tex] is the magnitude of vector [tex]w[/tex] and [tex]\theta[/tex] is the direction of vector [tex]w[/tex].

Magnitude: [tex]||w||=\sqrt{(-16)^2+(-63)^2}=\sqrt{256+3969}=\sqrt{4225}=65[/tex]

Direction: [tex]\displaystyle \theta=tan^{-1}\biggr(\frac{-63}{-16}\biggr)\approx75.75^\circ[/tex]

As our vector is in Quadrant III, our true direction angle will be 75.75° counterclockwise from the negative x-axis, so our true direction angle will be [tex]180^\circ+75.75^\circ=255.75^\circ[/tex].

This means that our vector in trigonometric form is [tex]w=65(\cos255.75^\circ i+\sin255.75^\circ j)[/tex]

Thus, C is the correct answer

Problem 6

Write the vectors in trigonometric form:

[tex]u=\langle40\cos30^\circ,40\sin30^\circ\rangle\\v=\langle50\cos140^\circ,50\sin140^\circ\rangle[/tex]

Add the vectors:

[tex]u+v=\langle40\cos30^\circ+50\cos140^\circ,40\sin30^\circ+50\sin140^\circ\rangle\approx\langle-3.661,52.139\rangle[/tex]

Find the magnitude of the resultant vector:

[tex]||u+v||=\sqrt{3.661^2+52.139^2}\approx52.268[/tex]

Find the direction of the resultant vector:

[tex]\displaystyle\theta=tan^{-1}\biggr(\frac{52.139}{-3.661} \biggr)\approx-86^\circ[/tex]

Because our resultant vector is in Quadrant II, then our true direction angle will be 86° clockwise from the negative x-axis. So, our true direction angle is [tex]180^\circ-86^\circ=94^\circ[/tex].

Thus, B is the correct answer


14 m
F. 2,352 m
G. 1,476 m
H. 392 m
I. 261.3 m
7 m
24 m
25 m

Answers

Answer:

choice for your help today 12 m is not answering me, sorry I think 25m

ANSWER THE FOLLOWING:​

Answers

Step-by-step explanation:

2. since there are 15 shirt

the probability of her wearing a blue shirt is 5/15

the probability of her wearing a blue shirt is 4/15

The growth of plants in one week are recorded for 6 plants with a sample standard deviation of 4inches and sample mean of 11 inches.
t* at the 0.05 significance level=__
Margin of error = ___
Confidence interval = _____

Answers

Answer:

from my side it's blurry

Margin of error = 0.8226401

Confidence interval = (9.17736,10.82264)

We have given data for one week recorded for 6 plants.

With a sample standard deviation of 1 inch and a sample mean of 10 inches.

For this sample, it is given that,

Sample size = n = 6

Sample SD = s = 1

Sample mean = x = 10

At a 0.10 significance level, the critical point is with t-distribution (n-1)df=5 df,

t*  =2.015048

Margin of error = E=2.015048*s/ √n = 0.8226401

Confidence interval

= (9.17736,10.82264)

Learn more about Margin of error here: https://brainly.com/question/10218601

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WHOEVER ANSWERS CORRECT AND FIRST WILL GET BRAINLIEST! How long does it take an elevator to go from the ground floor to the observation deck at a height of 869 feet?

Answers

so for a height of 869 feet the time will be 21.725s

[tex]1s = 40ft \\ x = 869ft \\ x= \frac{869}{40} \\ x = 21.725ft[/tex]

|x+1|+|x-2|=3
WHAT IS THE ANSWER??

Answers

Answer:

  -1 ≤ x ≤ 2

Step-by-step explanation:

The given equation can be rewritten as a piecewise function and solved in pieces.

The term |x+1| changes definition at x=-1. For x-values less than that, it is defined as -(x+1). Similarly, the term |x-2| changes definition at x=2. For x-values less than that, its definition is -(x-2). In the following, we consider the three pieces of the function.

__

x < -1

In this domain, the absolute value functions both have negative arguments, so the equation is effectively ...

  -(x +1) -(x -2) = 3

  -2x +1 = 3 . . . . . . . simplify

  -2x = 2 . . . . . . subtract 1

  x = -1 . . . . divide by -2

This value of x is not in the domain we have defined, so there is no solution in this domain.

__

-1 ≤ x ≤ 2

In this domain, the function |x+1| has a non-negative argument, but the function |x-2| has a non-positive argument. The equation is effectively ...

  (x +1) -(x -2) = 3

  x -x +1 +2 = 3 . . . . . eliminate parentheses, group like terms

  3 = 3 . . . . . . . . . true for the entire domain

The solution here is -1 ≤ x ≤ 2.

__

2 < x

Both absolute value terms have positive arguments in this domain, so the equation is effectlvely ...

  (x +1) +(x -2) = 3

  2x -1 = 3 . . . . . simplify

  2x = 4 . . . .  add 1

  x = 2 . . . . divide by 2

This value of x is not in the domain we have defined, so there is no solution in this domain.

__

The solution to the given equation is -1 ≤ x ≤ 2.

After your training program is completed, what should you do?
A. Evaluate progress
B. None apply
C. Start the program again
D. Add on more time

Answers

Answer:

A. evaluate progress

Step-by-step explanation:

common sense

Arron is getting new carpet in his bedroom. The dimensions of his room are 8 feet by 15 feet. How much carpet does he need to cover the whole floor?

Answers

Answer:

120 square feet     ( 13.333 square yards)

Step-by-step explanation:

8 ft   x   15 feet   = 120  ft^2    

Identify the type of polynomial
3x2 + 2x +1

Answers

The answer to the question is Quadratic Trinomial

what digit is in the ten thousand place in 796,142 what is the answer​

Answers

Answer:

9

Step-by-step explanation:

2 is in the ones place

4 is in the tens

1 is in the hundreds

6 is in the thousands

9 is in the ten thousands

Answer:

The number that is in the ten thousands is 9, whose value is 90,000.

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Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

You spin the spinner once.
6
3
5
What is P(6)?
Write your answer as a decimal.
4

Answers

Answer:

0.25

Step-by-step explanation:

Every number has equal probability here

The probability distribution for a random variable x is given in the table.

(see image)

Find the probability that x<-3

Answers

Answer:

30%

Step-by-step explanation:

The sign means that x can be equal to or LESS than -3. The only ones are -3 and -5. 0.17+0.13=0.30

Felix's kitchen table is round and has a radius of 3 feet. What is the tabletop's area?
use 3.14

Answers

Answer:

28.26 ft squared

Step-by-step explanation:

Area is pi*r^2

3.14*(3)^2

3.14*9

28.26

In the first 3 hours of a concert, 2,100 people passed through the gates. How long will it take to fill a concert hall that has 2,800 seats?

Answers

Answer:

4 hours

Step-by-step explanation:

the rate of people coming in it 700 per hour

Christina read 7 pages in a magazine she read 5 times as many pages in a book how many pages did christina read altogether

I need help my sister needs help and she is in 4th grade and I am in 10th so I don’t know how to do her homework

Answers

Answer:

42 Pages

Step-by-step explanation:

7x5=35

7+35=42

7 x 35 = 245

245 + 7 = 252

7. An 18-foot long ramp is placed at a loading
dock that is 5 feet above ground. How far is
the bottom of the ramp from the dock?

Answers

Answer:

17.29162

Step-by-step explanation:

[tex]\sqrt{18^2-5^2}[/tex]

__________________________________________

Evaluate the equation/expression:

[tex]17.29162[/tex]

I hope this helps you

:)

Mandy paints four square walls that are ten feet on each side. Which expression represents the total square footage that Mandy painted?

4 × 102
42 × 10
4 × 10 × 2
102 + 4

Answers

Answer:

C. 4 × 10 × 2

Step-by-step explanation:

There are four walls that are ten feet on each side.

You would take 4 (number of walls) × 10 (number of feet in length), and because there are 2 sides of the walls, you would take that × 2.

Therefore, your answer is 4 × 10 ×2

Other Questions
Jessica believes she should be concerned for the welfare of others. This belief is an example of a ______. Find the range of the relation.O {-4, -3, -2, -1, 0, 1, 2, 4)}O {-4, -2,0, 2, 4)}O {-4,4)}O {-3, -2, -1, 0, 1)} please help me with B im stuck Which expression is equivalent to 32 + 16? When rounded to the hundreds place, which of the numbers below round to 23,400? Select all that apply.A) 23,445B) 23,345C) 23,395D) 23,410E) 23,451 Which phrases best describe a person who is media literate? Check all that apply. someone who can understand why media was created someone who can analyze different forms of media someone who can evaluate the effectiveness of media someone who can stand up for an unpopular idea in the media someone who can circulate media with a specific effect PLEASE HELP Which of the following best describes where land acquired through the Mexican Cession is located today?1. the northeastern US2. the northwestern US3. the southeastern US4. the southwestern US identify the following whether a Warning sign or a Trigger of common mental disorder.Pa answer pi. Which best describes the relationship between these lines? the lines from "harlem" provide sensory details, and the lines from "the weary blues" do not. the lines from "harlem" and the lines from "the weary blues" both provide details through personification. the lines from "harlem" provide details using the sense of sight, and the lines from "the weary blues" provide details using the sense of touch. the lines from "harlem" and the lines from "the weary blues" both provide details using the sense of sight. write a poem about peer pressure What is the lateral area and surface area of the cone shown below? Data will zip through a 5G network much faster than through a 4G network because of the 10-fold difference in _____. I had _____on the airplane. The strong wind mademe want to vomit.Select one:O a. insomniaO b. nauseaO c. hiccupsO d. coughYoung-Mi lives in an),____about 15 miles from downtown Seoul, Korea.Select one:a. urban areab. subwayO c. suburbO d. freeway Nhich of the following describes the role of the shogun during the Tokugawa Shogunate in Japan?OA. He was elected by citizens to serve as the country's leader.O B. He was a monarch who held a symbolic role with no political power.OC. He was a powerful landowner who controlled all of Japan's farmers.OD. He was a powerful military leader who ruled all of Japan. 4 ** Write a topic sentence using the prompts for the paragraph below. What is the value of x if x * x + 2x - 35 = 0? Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is theexplicit rule for this sequence in simplified form? This invention made amputation much safer, which cut down on the number of people who died during the procedure. a blood transfusion a blood transfusion a tracheotomy a tracheotomy the tourniquet the tourniquet the stethoscope the stethoscope f(x)=8x+4 What is the value of f(14)?0236 Which is an example of an inherent power of the federal government?