A public rectangular-shaped pool is 15 m by 30 m. Public pools must be surrounded by a cement
walkway of uniform width whose area is at least as large as the area of the pool. What is the
minimum width of the walkway? Show the steps of your solution.

Answers

Answer 1

Answer:

15m I think

Step-by-step explanation:

Sorry if im wrong

Answer 2

The area of a rectangle can be found by taking the product of length and breadth. The minimum width of the walkway is 15 m.

What is a Rectangle?

A quadrilateral that has its opposite sides as equal and all the angles are right angle is called a Rectangle. The diagonal of a rectangle is greater than its length and breadth.

The given rectangle has dimension of 15 × 30.

Suppose the uniform width of walkway be d.

Then, the area of walkaway can be written as

Area = (15+d)×(30+d) - 15×30

As per the question,

15×30 =  (15+d)×(30+d) - 15×30

(15+d)×(30+d) = 2×15×30

d^2 + 45d - 900 = 0

d = -60,15

As, length cannot be negative. Thus, d = 15m.

Hence, the minimum width of walkway is 15m.

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Related Questions

which number will complete the given series 50,48,44,42,38,36?​

Answers

Answer:

50

Step-by-step explanation:

what type of triangle, if any, can be formed with sides measuring 8 inches, 8 inches, and 3 inches?

Answers

we can form an Isosceles triangle using the given measures. Step-by-step explanation: We are given the measure of three sides of a triangle.

Need help asap!


what is the value of x and y?
2x+3=y​

Answers

Answer: `y`-value is double the `x`-value plus `3` will make the hanger balance.

So x can be 3 and y can be 9

Need this very badly​

Answers

Answer:

a.) 94 cm^2

Step-by-step explanation:

3 x 4 = 12

5 x 3 = 15

4 x 5 = 20

12 + 12 + 15 + 15 + 20 + 20 = 94

Answer: 94 cm squared

Step-by-step explanation:

0+2=-2/3(x-6)
What is X?

Answers

Answer:

x=3

Step-by-step explanation:

Hope it helps youuuuuu

The answer is X= 3
good luckk

For which function does f decrease by 15% every time x increases by 1?

Select the correct choice.

Answers

Answer:

0.85x

wertyipjhgfdfghjkjxcvbnmuytredxcvbnko

[tex]f(x)=0.85^{x}[/tex] is the required function.

What is function ?

If in a mathematical statement, a set of inputs, i.e. set x having exactly one output (in set y) each, then this is called a function.

What is the required function ?

The function that decrease by 15% every time increases by 1 is,

[tex]f(x)=(1-0.15)^{x}[/tex]

Now, simplifying it, we get,

[tex]f(x)=0.85^{x}[/tex]

Hence, the required function is [tex]f(x)=0.85^{x}[/tex]

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What transformation for Rectangle A would result in Rectangle B?
A
reflection across the X-axis
B
reflection across the y-axis
c
translation, 4 units up
D
translation, 2 units down

Answers

Answer:

I think A I'm not sure tho

In the transformation of rectangle A, a reflection is across the X-axis. The correct option is A.

What is a reflection?

A reflection in mathematics is a mapping from a Euclidean space to itself that is an isometry with a set of fixed points known as the hyperplane, also known as the axis or plane of reflection. The mirror image of a figure in the axis or plane of reflection is the image produced by a reflection.

Given image is having a rectangle A which is having reflection across the X-axis. The meaning of the reflection is that the figure will have an image of itself across the x-axis.

Therefore, in the transformation of rectangle A, a reflection is across the X-axis. The correct option is A.

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A company rents two storage units. Both units are cube- shaped. What is the difference in volume of the two storage units? Note that the volume of a cube a square is s(2) , where is the side length. Explain.

Answers

Answer:

The difference between their volumes is [tex]237.375ft^3[/tex]

Step-by-step explanation:

The attachment completes the question.

For cube 1:

[tex]s_1 = 8ft[/tex]

For cube 2:

[tex]s_2 = 6.5ft[/tex]

Required

The difference in their volumes

First, we calculate the volume of box 1

[tex]V_1 = s_1^3[/tex]

Substitute 8 for s1

[tex]V_1 = 8^3[/tex]

[tex]V_1 = 512ft^3[/tex]

Next, we calculate the volume of box 2

[tex]V_2 = s_2^3[/tex]

Substitute 6.5 for s2

[tex]V_2 = 6.5^3[/tex]

[tex]V_2 = 274.625ft^3[/tex]

The difference is then calculated as:

[tex]Difference = |V_1- V_2|[/tex]

[tex]Difference = |274.625- 512|[/tex]

[tex]Difference = |-237.375|[/tex]

[tex]Difference = 237.375[/tex]

Hence, the difference between their volumes is [tex]237.375ft^3[/tex]

The following table shows the number of alligators in each body of water near Tom's house. Number of alligators 7,0,11,10 find the mean number of alligators

Answers

Answer:

I do not know but did you find it out?

Step-by-step explanation:

bbbbbbbeeeeeeeeeeeeeeeeeeeeeeep

CH3CH2CHCH2CH3OH name ?

Answers

Answer:
Pentane

Explanation:

round to the hundredth 3.5262

Answers

3.53 that’s the answer
3.53 cause 262 rounds to 300 and take out the 00

~.❤~Please Answer~❤.~

Answers

Answer:

True

hope it helps!

Step-by-step explanation:

it’s true
hope this helped u clarify c:

find the value of x..

Answers

Answer:

B x = 7

Step-by-step explanation:

You know based on the ratio that it's being scaled by 4 times because the one side 4 is 16 in the bigger pentagon.

So if you go the side that matches the one you need to solve, it's 2.5.

2.5 times 4 = 10 so that bigger pentagon side should equal 10.

The equation x-3 = 10

which means x is 7

rewrite in simplest terms −6(−0.8w−0.8)+3(−0.9w−0.3)

Answers

(4.8w+4.8)+(2.7w+2.7)

Answer:

2.1w + 3.9

Step-by-step explanation:

Tara has a large box of dog treats that weighs 7.2 pounds. She uses the large box of dog treats to make smaller bags, each containing 0.6 pound of treats.

How many smaller bags of dog treats can Tara make?

Tara can make smaller bags.

Answers

Answer:

Tara can make 14 smaller bags.

Step-by-step explanation:

Pl help it’s for a grade I will give you Brainly if right

Answers

Answer:

b

Step-by-step explanation:

Answer:

It is the last option.

Step-by-step explanation:

Solve the system of equations
2x-5y=3
X-3y=1

Answers

Answer: 2x − 5y = 3

x − 3y = 1

(4, 1)

(5, 2)

(7, 2)

(9, 3)

Step-by-step explanation:

PLEASE ANSWER QUICK!!! The volume of ammonia in a balloon is now 6.1 L after changing the temperature from 52 °C to 79 °C. What was the original volume?

Answers

Answer:

the original volume is 4.0L

Step-by-step explanation:

Step one:

given data

V1= ?

T1=  52 °C

V2= 6.1L

T2=  79° C

Step two

applying the volume temperature relationship, which is

V1/T1= V2/T2

substituting we have

V1/52= 6.1/79

cross multiply we have

52*6.1= V1*79

317.2= 79V1

divide both sides by 79

V1= 317.2/79

V1=4.0L

A pool is 10 feet wide. It is three times as long as it is wide. What is the perimeter of the pool? *

Answers

Answer:

The perimeter is 80

Answer:

P = 80

Step-by-step explanation:

w = 10

L = 10 x 3

L = 30

P = L + L + w + w

P = 30 + 30 + 10 + 10

P = 80

The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius holds 1½ pints, how many gallons will a similar can with a 24-inch radius hold?

Answers

Answer:

The second similar can with a radius of 24-inch radius will hold 12 gallons

Step-by-step explanation:

The given parameters are;

The volumes of the cylindrical can ∝ (The radius of the cans)³

The volume of first can, V₁ = 1¹/₂ pints

The radius of the first can, r₁ = 6-inch

The radius of the second can, r₂ = 24-inch

Therefore, we have;

V ∝ r³

V = k × r³

∴ 1¹/₂ pints ∝ (6 in.)³

1¹/₂ pints = 43.3125 in³

∴ 43.3125 in³ = k × 216 in.³

The constant of proportionality, k = 43.3125/216 = 0.2005208333

Therefore, we have for the second can, we have;

V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³

The volume of the second can = 2772 in.³

1 in.³ = 0.004329 gallons

∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons

Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.

Which side lengths form a right triangle chose all that apply

Answers

Answer:

b

Step-by-step explanation:

only b is true

Write equations for the following constraints-


The sum is 6.


The difference is 6.

Answers

3+3=6

12-6=6

I hope this is the type of equation and i hope this helps

15) The baseball coach bought 6 new baseballs for $1.20 each. The basketball coach
bought 5 new basketballs for $9.10 each. How much more did the basketball coach
spend than the baseball coach?

Answers

Answer:

$38.3

Step-by-step explanation:

Baseball = $7.2

Basketball = $45.5

45.5-7.2 = 38.3

pls help will give brainiest
Find the length of A.

Answers

Answer:

5

Step-by-step explanation:

13^2=169

12^2=144

169-144=25

Root 25 is 5

A.) 5
use Pythagorean theorem: a^2+b^2=c^2
plug in the values
x^2+12^2=13^2
Move the 12^2 to the other side
x^2=13^2-12^2
x^2=25
Take the square root from both sides
x=5

NEED HELP!!! Answer all of the questions below you will see a link, I would give thanks to anyone that can do this:) If anybody needs any information on how to pull it up, there should be a link that says download Docx if that helps.

Answers

9514 1404 393

Explanation:

1. You are given the statement "A is B". In "if-then" form, it can be written, "if it is A, then it is B."

  If it is broccoli, then it is a vegetable.

__

2. The hypothesis is the "if-" part:

  (If) it is broccoli

__

3. The conclusion is the "then-" part:

  (then) it is a vegetable

__

4. The converse interchanges the hypothesis and conclusion:

  If it is a vegetable, then it is broccoli.

__

5. The converse is false. A potato is a vegetable, but is not broccoli.

__

6. The inverse negates the hypothesis and conclusion:

 If it is not broccoli, it is not a vegetable.

__

7. The inverse is false. A potato is not broccoli, but is a vegetable.

__

8. The contrapositive is the inverse of the converse:

  If it is not a vegetable, it is not broccoli.

__

9. The contrapositive has the same truth value as the original statement. Here, it the contrapositive is true.

The y candies you eat in x hours is found by y= 4x. How many candies do you eat in 10 hours?


Need help please 18 points ASAP ???? This is a test

Answers

Answer:

Given that you eat 4 candies an hour, over 10 hours, the total candies you have eaten is 40.

(2x^3+10x^2)/(x^2+x-20) divided by (2x^2)/(x-4)

Answers

Answer:

1

Step-by-step explanation:

Who knew the answer would be 1 LOL

hope this helps :)

assignment
1 of
POSSIBLE POINTS: 2
Two students, Brian and Alexa, both broke their chromebooks. Brian has $50 in his bank account and makes 12 dollars for every driveway
that he shovels. Alexa has 10 dollars in her bank account but makes $20 for every driveway that she shovels. The graph is shown below
20

Answers

Answer:

8267

Step-by-step explanation

Need this very badly giving 10 points​

Answers

Answer:

A is your answer

Step-by-step explanation:

width= 9 cm

length= 5 cm

height= 20cm

formula: 2(lw+lh+hw)

2(5*9+ 5*20+ 20*9)

2(45+ 100+ 180)

2(325)= 650 cm

If 9x - 11= 12, what is the value of 6x ?

Answers

Answer:

15.333...

Step-by-step explanation:

9x-11=12

9x-11(+11)=12(+11)

9x=23

23/9x= 2.555...

2.555(6) = 15.333...

The value of x would be 15.3. Because you put 12 under 11 and 9 and you multiply
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