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

Please help... I’ll give Brainliest ❤️

Answers

Answer:

triangle B is the reflection of triangle A across the x-axis

(1 point) Solve the following inequality, giving your answer in interval notation.
1 - x > 2

Answers

Answer:

-1

Step-by-step explanation:

1-x>2

-x>2-1

-x>1

-x/-1>1/-1

x<-1

Answer:

[tex]x < - 1[/tex]

Step-by-step explanation:

first step

try to leave x's in your left and number in your right

-x > 2-1

-x>1

step 2

by moving the sign minus to right it will become plus

and the inequality sign will change also

so x<-1

the region will ( - infinity to -1 )

[tex]( - \infty - 1)[/tex]

LOOK AT THE IMAGE!!!
DO NOT JUST ANSWER FOR POINTS

Answers

Answer:

C) (-3,-1)

Step-by-step explanation:

C) (-3,-1)

Sara and Atil ate the same number of cookies for lunch. However, Sara ate half of all

the cookies that her mom gave her, and Atil ate one-third of all the cookies that his

mom gave him. If til's mom gave him 2 more cookies than Sara's mom gave to Sara,

how many cookies did each of the kids eat?

Answers

Answer:

Sarah ate 2, atil ate 2

Step-by-step explanation:

The total number of cookie Sara got = y

Atill got 2 more than Sara so his total cookies is = 2+y

Sarah ate half if hers = y/2

Atil ate 1/3 of his = 2+y/3

We have

Y/2 = 2+y/3

Then we cross multiply

3y = 2(2+y)

3y = 4 + 2y

3y - 2y = 4

Y = 4

Since y = 4,

Sara ate 4/2 cookies = 2

Then atil ate 2+4/3 = 6/3 = 2 cookies

How many triangles can be constructed with angles measuring 110°, 50°, and 20°?


0

1

more than one

Answers

9514 1404 393

Answer:

  (c)  more than one

Step-by-step explanation:

The shape of the triangle is specified by its angles, but not its size. An infinite number of triangles of various sizes can be constructed with those angles. The appropriate choice is ...

  more than one


Find dy/dx
for 4 tan^2x - xy^2= sin2y by using implicit differentiation

Answers

Answer:

Y=bx+c

Step-by-step explanation:

That should be right

Answer:

Y=bx+c

Step-by-step explanation:

45 × _____ ÷ 15 = 45

Answers

Answer:

15

Step-by-step explanation:

45 × 15 = 675

675/15 = 15

Answer:

15

Step-by-step explanation:

45x15=675

675/15=45

A random sample of 80 college students showed that 44 had driven a car during the day before the survey was conducted. Suppose that we are interested in forming a 80 percent confidence interval for the proportion of all college students who drove a car the day before the survey was conducted.
Where appropriate, express your answer as a proportion (not a percentage). Round answers to three decimal places.

Answers

Answer:

The 80% confidence interval for the proportion of all college students who drove a car the day before the survey was conducted is (0.479, 0.621).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A random sample of 80 college students showed that 44 had driven a car during the day before the survey was conducted.

This means that [tex]n = 80, \pi = \frac{44}{80} = 0.55[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.55 - 1.28\sqrt{\frac{0.55*0.45}{80}} = 0.479[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.55 + 1.28\sqrt{\frac{0.55*0.45}{80}} = 0.621[/tex]

The 80% confidence interval for the proportion of all college students who drove a car the day before the survey was conducted is (0.479, 0.621).

Question 12
Find the volume of this cone. Round to the nearest hundredth.
9 ft
8 ft
cm cubed

Answers

Answer:

150.8 I think

Step-by-step explanation:

1.give the sequence 8.5.2.-1,...at what term will the number become -25? A.11th term B.10th term C.12th term D.20th term 2.which of the following is an algebraic esprression? A.3+5 B.n-1-14 C.3+5=8 D.x=53 3.what is the sum of the first 5 even numbers? A.30 B.20 C.10 D.50

Answers

Answer: 1. C(12) 2. B(n-1-14) 3. A(30)

Step-by-step explanation: For number one the nth term with common difference d and first term a is a+(n-1)d=nth term, plug in the values you have and solve for n to get 12. For number 2 an algebraic expression has a variable and a constant but doesn't have an equal sign. So it is B. For number three just add them up. Hope this helped!  

Resuelve el problema aplicando las estrategias de solución de problemas.
• Pedro resolvió solo 15 problemas de los 75 asignados. ¿Qué fracción de los problemas resolvió? Reduce a
su mínima expresión.

Answers

ddhrsjfhffhhrry7tt5566


What is the value of this expression when a= -3 and b=5? a + b^2*

Answers

Answer:

22

Step-by-step explanation:

a+b^2

= -3+(5^2)

= -3+25

=22

Rectangle measures 2 1/4 meters 1 7/8 meters what is its area
Plss help

Answers

Answer:

4.21875

Step-by-step explanation:

2.25*1.875 =4.21875

The area of the rectangle is 135/32 or 4 whole number 7/32 whose side measures are 2 whole 1/4 and 1 whole 7/8.

What is the area of the rectangle?

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

We have side measures of the rectangle:

[tex]\rm a = 2\frac{1}{4} \\\\\rm b = 1\frac{7}{8}[/tex]

The area of the rectangle A is given by:

[tex]\rm A = (2\frac{1}{4} )\times(1\frac{7}{8} )[/tex]

[tex]\rm A = (\frac{9}{4} )\times(\frac{15}{8} )[/tex]

[tex]\rm A = \frac{135}{32}[/tex]  or

[tex]\rm A =4 \frac{7}{32}[/tex]

Thus, the area of the rectangle is 135/32 or 4 whole number 7/32 whose side measures are 2 whole 1/4 and 1 whole 7/8.

Learn more about the area here:

brainly.com/question/14383947

What statement best describes a trapezoid? *
1 point
a. All sides are equal and opposite sides are parallel
b. Exactly one pair of parallel lines
c. Has 2 sets of parallel lines and four 90 degree angles
d. Has 2 equal sides and 3 acute angles

Answers

Answer:b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

because it has two parallel side and and other are just lines but being quadrilateral its sum is 360

HELP PLEASE!!! I need to name each angle

Answers

Answer:

XWZ and ZWX are the only ways to label this angle

Step-by-step explanation:

a number line is divided into 8 equal parts to show eighths. A point is labeled 1/2. Name the equivalent fraction for the labeled point.​

Answers

Answer:

4/8.

Step-by-step explanation:

4/8 is the correct answer for this question. This is why. If you take 8 and divide it in half, your answer will be 4. Also because fractions are division so the fraction 8/2 equals 4. This means the 1/2 mark is equal to 4.

and Mandy takes 3.9 percent of jimmy chocolate jimmy has 5000 pieces of chocolate chocolate how much does jimmy have left

Answers

Answer:

Jimmy has 4805 left

Step-by-step explanation:

3.9% = 0.039

5000(0.039) = 195

Mandy took 195 pieces

5000 - 195 = 4805

Jimmy has 4805 left

Help. I have no idea what to do

Answers

Answer: The answer is to ask your parents because something is definitely wrong with your teacher to give such a hard sun to solve like that.

Step-by-step explanation:  sorry man that hard.

three numbers are in A.P. the difference between the first and the last is 8 and the product of these two is 20. find the numbers​

Answers

9514 1404 393

Answer:

  10 and 2

Step-by-step explanation:

Essentially, you're being asked to find factors of 20 that have difference of 8. 20 can be factored as ...

  20 = 20×1 = 10×2 = 5×4

The factors 10 and 2 have a difference of 8.

The numbers are 10 and 2.

the area of a rectangle is 84x18y what is the length.

Answers

Answer:

Area =L×w

84×18y =L×w

by comparison

L =84 and w=18y

Given the table below, what is the x-intercept of the linear function?

Answers

Answer:

-6

Step-by-step explanation:

are these correct???

Answers

Answer:

They are all correct.

Step-by-step explanation:

1.

1/2(b)(h)

1/2(4)(6)

1/2(24)

12

2. l x w

7 x 5

35

3. (b)(h)

(8)(4)

32

In a survey of 292 students, about 9.9% have attended more than one play. Which
is closest to the number of students in the survey who have attended more than one
play?
3 students
10 students
20 students
30 students

Answers

Answer: it's 30 I rook the quiz and got 100

Step-by-step explanat


What is the value of 6(x + 15) - 12 when x = 12?
provided on your answer document.

Answers

I’m certain 162, 6•12= 72, and 6•15= 90

Answer: 162

Step-by-step explanation:

6(12+15) Following the order of operations, (P.E.M.D.A.S), you should do parentheses first. So you add 12 and 15 to get 27. Were left with 6(27). So we multiply 6 and 27. The final answer is 162.

4

 27

x  6

--------

162

At the beginning of spring, Gabriella planted a small sunflower in her backyard.
When it was first planted, the sunflower was 20 inches tall. The sunflower then began
to grow at a rate of 1.5 inches per week. How tall would the sunflower be after 4
weeks? How tall would the sunflower be after w weeks?
Height after 4 weeks:
24
Height after w weeks:
I
Submit Answer
attempt 1 out of 2 / problem 1 out of max 1

Answers

Answer:

The sunflower be  40 inches tall after 4 weeks.

Total height of sunflower in w weeks = 20+1.5 w,

Step-by-step explanation:

Given:  In the beginning, the sunflower was 20 inches tall.

The sunflower then began to grow at a rate of 1.5 inches per week.

Then, total height of sunflower in 4 weeks = 10+1.5 ×10, where 1.5 ×10= growth in 4 weeks

= 20+20 = 40 inches

So, the sunflower be  40 inches tall after 4 weeks.


Simplify the expression:
6(5 + x) - 2x

Answers

Answer: 30+4x

Step-by-step explanation: Expanding the expression you would get 30+6x-2x and then you subtract the 6x and 2x to get 4x

Answer:

30+4x.

Step-by-step explanation:

yehdbebdbejeiiwiwuebdbsjjjwiwjeurnfnd

Missing length..Area 90mm to the second power with base at 10mm. What is the millimeters

Answers

Answer:

5

Step-by-step explanation:

A chocolate shop sells chocolates with a variety of different fillings.

hazelnut 68
caramel 8
orange 8

What is the probability that a randomly selected chocolate will have caramel filling?

Write your answer as a fraction or whole number.

Answers

Answer:

There is a [tex]\frac{2}{21}[/tex] chance of picking caramel-filled chocolate.

Step-by-step explanation:

To set this up, you need to make it a fraction. The denominator of the fraction is how many total chocolates you can pick from. You can figure this out by adding all of the chocolate choices together:

68 hazelnut + 8 caramel + 8 orange = 84 chocolates.

The numerator is defined by the number of caramel chocolates, in this case it is 8. That means the fraction will look like:

[tex]\frac{8}{84}[/tex]

Now that can be simplified down. I divided the top and bottom both by 4 to get  [tex]\frac{2}{21}[/tex] and that is as far down as it can go. Therefore that is the probability you will get a caramel-filled chocolate.

what is the area of the triangle shown above

Answers

Answer:

I don't see the triangle...

how to find the
value of 18.04 divided by 0.2

Answers

Answer:

18.04/0.2 = 90.2

Step-by-step explanation:

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