Mathematics High School

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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https://brainly.com/question/15019502

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Related Questions

James earns $8.15 per hour that he works. Which algebraic equation shows the
amount of money. E, that James earns in n hours?

Answers

Answer:

e = $8.15n

Although this doesn't require an explanation, I am always open to solve any confusion.

Side Note: I used variable E assuming that the period before 'E' was supposed to be a comma which means it was a given variable.

Answer:

E= 8.15n

Step-by-step explanation:

What is the slope of the line that passes through the points (4,5) and (12,7)?

Answers

Answer:

(2,8)

Step-by-step explanation:

If we plot both points on the graph and start at (4,5) we count up (rise) 2 and to the right (run) 8. This means they are both positive numbers as it goes up and to the right.

*Down or to the left would be negative.

hiii please help asap ill give brainliest if you give a correct answer tyyyyy

Answers

Answer:

Part A: 1.2 minutes

Part B: 0.83

Part C: 25.2

Answer:

a. 1.2 minutes

b. one lap per 1.2 minutes

c. 25.20 minutes

Step-by-step explanation:

a. do 6 mins/5 laps which gives you 1.2, so 1.2 minutes or 1 minute and 20 seconds

b. uh one lap per 1.2 minutes

c. 25.2 minutes which is approx. 25 minutes and 20 seconds. I reallly hope this helps!

Which graph represents the function y = 2x - 2?
4TY
1y
1y
2
2
2
-2
- 2
-2
-2
-2
o
o

Answers

Answer:

The third graph

Step-by-step explanation:

The third graph is the only graph that could represent the equation because it is the only graph where the line goes through the y-intercept, -2. It is also positive, like the equation says the slope should be.

hello please help! create an x/y table!
equation: y=-1/3x-2

Answers

Cant see the pic it’s black

Angelinas grandfather gave her all the money he had in his pocket to buy. A raffle ticket that coast $1 each for her cheerleading fundraiser determine the independent quantity and the dependent quantity in the problem situation

Answers

Answer

independent quantity is the raffle tickets and the dependent is the amount of money

Step-by-step explanation: i believe im sorry if this is wrong

A farmer has 28 bushels of apples and can harvest 25 bushels of apples each day. In how many days will he have more than 125 bushels to​ sell? What inequality represents this​ situation?

Answers

Answer: 4 days, there are already 28 bushels of apples

Step-by-step explanation:

In 4 days because 25 times 4 is 100.

100 + 28 is 128 which is more than 125.

It takes Andre 6 minutes to swim 5 laps. (a). How many laps per minute is that? Include how you arrived at your solution.

Answers

Answer:

1.2 minutes

Step-by-step explanation:

So its saying it takes 6 mins to do 5 laps. Thats a little over a min per lap so we now its going to be over 1.  The first step is to divide 6/5. Then you get 1.2

x = –8, y = 7, and z = –11. x - (-z)

Answers

Answer:

[tex]x - ( - z) = x + z =( - 8)+(- 11) \\ = \boxed{ - 19}[/tex]

-19 is the right answer.

If each soda sells for $2.50, what is the expected daily total dollar amount taken in by the vendor from the sale of sodas?

Answers

Answer:

$34.38

Step-by-step explanation:

Y: A random variable that indicates the amount of money that the seller will receive.

p=2,50$

if  x=0  →  y=0.2,50=0$

if  x=5  →  y=5.2,50  = 12,5  $

if  x=10  →  y=10.2,50= 25$

if  x=15  →  y=15.2,50=  37,5$

if  x=20  →  y=20.2,50=  50  $

if  x=25  →  y=25.2,50=  62,5$

Y=  { 0$ ; 12,5$ ; 25$ ; 37,5$ ; 50$ ; 62,5$ }

E(Y)=  ∑Y.P(Y)

=  0.P(0)+12,5.P(12,5)+  25.P(25)+  37,5.P(37,5)+  50.P(50)+  62,5.P(62,5)

=  0.0,01+  12,5.0,15+  25.0,25+  37,5.0,3+  50.0,25+  62,5.0,04

= 0 + 1,875 + 6,25 + 11,25 + 12,5 + 2,5

= 34,38$ expected value of the amount of money the seller receives.

What is the RANGE of this input/output table???

Answers

Answer:

yes

Step-by-step explanation:

Create a quadratic equation that would have two real solutions. Then,
explain why it has two real solutions without solving the equation.

Answers

Answer:

Thinking graphically, these correspond to the graph of the straight line (a) missing the graph of the parabola entirely, (b) kissing the parabola at one point or (c) cutting across the parabola and coinciding with it at 2 points.

Step-by-step explanation:

Explanation:

Graphically, a quadratic equation is a parabola and a linear equation is a straight line.

i hope it helps

need help its 7th grade math​

Answers

Answer:

1 inch represents 60 feet.

Step-by-step explanation:

120/2

= 60

So his scale is 1:60

Answer:

Its 1 inch represents 60 ft

Step-by-step explanation:

you have to divide 120 by 2 and thats 1 inch per 60 feet

Which example does NOT show the commutative property of addition? 4+x=x+4
Ab=ba
A+b=b+a
3x+4y=4y+3x

plz answer quick

Answers

Answer:

Ab=ba that one is multiplication I believe

what the answer 68 ÷4​

Answers

Answer:

17

Step-by-step explanation:

Answer:

17 ;-; cant you use a ? calculator?

Step-by-step explanation:


Multiplying by 1.36 is the same as increasing by
%.

Answers

Answer:

36%

Step-by-step explanation:

1 = 100%

so 1.36 is increasing by 36%

36%

1=100

1.36 increased by 36%

8x - 4
6x + 8
Find the measure of angle 1.

Answers

Answer:

44°

Step-by-step explanation:

8x-4 = 6x+8

8x - 6x = 8 + 4

2x = 12

x = 12/2

x = 6

then:

8*6 - 4 = 48 - 4 = 44°

The measure of angle 1:

44°

what is 1.75% as a fraction? BTW I NEED THIS ASAP

Answers

The fraction would be 3/4

A coin is flipped and a normal dice is rolled what is the probability of getting a tail and a five

Answers

Answer:

25% chance

Step-by-step explanation:

Line p intersects line a and b. a b. By which theorem is a1 ≈ a8

PLEASE HELP!!

Answers

Answer:

option a

Step-by-step explanation:

alternate exterior angle theorem

Two times colleen’s age plus three times Ashley’s age equals 108. Colleen’s age is three times Ashley’s age. How old is Colleen

Answers

Answer: 36

Step-by-step explanation: 2x36=72. 36/3=12. 3x12=36. 36+72=108.

Answer: 81 yrs

Step-by-step explanation: a stands for Ashley, c stands for Colleen

2c + 3a = 108

c = 3a

3a + a = 108

4a = 108

a = 27

c = 3a

c = 3 (27)

c = 81

PLEASE HELP .
What is the length of side BC to one decimal place?

Answers

Answer: 9.0

Step-by-step explanation:

The figures are similar. Find the missing length i will give you brainlist​

Answers

Answer:

y=6

Step-by-step explanation:

Someone please do this!

Answers

Answer:

£518.42

Step-by-step explanation:

518.42 I think that’s right

Triangles triangle ABC and triangle DEF are similar. Find the angles of these triangles if Mesurements of angle A=100 degrees, and mesurments of angle B=30 degrees.

Answers

Answer:

<D = 100

<E =30

<F =50

Step-by-step explanation

Given that triangles triangle ABC and triangle DEF are similar, this means that their angles are congruent i.e

<A = <D

<B = <E

<C = <F

Given

<A = 100 then <D = 100

<B = 30°, then <E = 30°

To get <F, we will use the expression

<D+<E+<F = 180 (sum of angles in a triangle is 180°)

100+30+<F = 180

130+<F = 180

<F = 180-130

<F = 50°

Hence the measure of <F is 50°

f(1)=2

f(n+1) = f(n)+4


What is f(10)?

Answers

9514 1404 393

Answer:

  38

Step-by-step explanation:

The recursion relation describes an arithmetic sequence with a first term of 2 and a common difference of 4. The explicit formula for the n-th term of the sequence is ...

  f(n) = f(1) +d(n -1) . . . . . for first term f(1) and difference d

  f(n) = 2 +4(n -1) = 4n -2

Then the 10th term is ...

  f(10) = 4(10) -2

  f(10) = 38

Ella drew 15 hearts, 10 stars, and 25 circles. What is the ratio of stars to all shapes?

Answers

Answer:

16

Step-by-step explanation:

What is the complete factorization of the polynomial below? 3 + 4x2 - X-4​

Answers

the answer is 4x^2-x-1


Juanita has 70 toy cars. 40% of the cars are blue.
How many cars are blue?

Answers

Answer:

28

Step-by-step explanation:

70×40% = 28

hdhxjsjcjsx

Answer:

28

Tell me if I am wrong. :) Hope it helps!

Step-by-step explanation:

what is the difference between 903.55 and 87.7
​

Answers

Answer:903.55

Step-by-step explanation:

The difference between the values 903.55 and 87.7 can be obtained using the subtraction operation on both values. Hence, the value of the difference is 815.85

Given the values :

903.55 and 87.7

To obtain the difference, we use the subtraction operation thus :

903.55 - 87.7 = 815.85

Therefore, the difference between 903.55 and 87.7 obtained by subtracting the two values from each other is 815.85

Learn more : https://brainly.com/question/18109354

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