Considering the given conditions in the question, the dimensions that will minimize the cost of construction of the pool are:
base length = 10 feet
base width = 10 feet
pool depth = 20 feet
Volume of a material implies the maximum amount of substance that it can contain.
From the given question, it is expected that the pool would have the shape of a cuboid, thus its volume can be determined by:
volume of the pool = length x width x height
= base area x height
Thus, given that the volume of the pool is 2000 cubic feet, then;
2000 = base area x height
i. Let the dimensions of the square base be 10 feet, and its height 20 feet, so that;
volume = 10 x 10 x 20
= 2000 cubic feet
The cost of constructing the pool of the assumed dimensions would be:
Total area of its sides = 4 x 200
= 800 square feet
The cost of tiling the sides of the pool = $80 x 800
= $ 6400.0
Area of the base of the pool = 10 x 10
= 100 square feet
The cost of tiling the base of the pool = $40 x 100
= $4000
Total cost = $6400 + $4000
= $10400
Total cost of constructing the pool with the assumed dimensions is $10400.
ii. Let the dimensions of the square base be 20 feet, and its height 5 feet, so that;
volume = 20 x 20 x 5
= 2000 cubic feet
The cost of constructing the pool of the assumed dimensions would be:
Total area of its sides = 4 x 100
= 400 square feet
The cost of tiling the sides of the pool = $80 x 400
= $ 32000
Area of the base of the pool = 20 x 20
= 400 square feet
The cost of tiling the base of the pool = $40 x 400
= $16000
Total cost = $16000 + $32000
= $48000
Total cost of constructing the pool with the assumed dimensions is $48000.
Therefore, the dimensions that will minimize the cost of construction of the pool are:
base length = 10 feet
base width = 10 feet
pool depth = 20 feet
Visit: https://brainly.com/question/16955358
1,8,27,64
find the rule and show how did you find it
Answer:
Its a cubic number formula
Step-by-step explanation:
1, 8, 27, 64, 125, 216, 343
Which answer choice correctly identify the missing information in the problem?
is 23 years old and just graduated from college. He accepted a job as the manager of a amusement park. His major decision was to offer family memberships to the public for $200 a year. The single admission to the amusement park is $25 per family each visit. How many shows can a family see if they have a limited budget?
A) there is no missing information; to find the answer you divided 200 by 25
B) you need to know how many people are in the family
C) you need to know how many times the family will go to the amusement park
D) you need to know the amount of the family budget to solve the problem
Answer:The missing information to answer the question: "How many shows can a family see if they have a limited budget?" is the amount of the family budget.
Let's suppose that we know that information and one family has $100. If each visit costs $25 dollars, the family can see:
100/25 =4 shows
So if we do not have this info, we are not going to be able to solve the problem. The correct answer is the letter D!
Step-by-step explanation:
Solve for x
1−6x = −17
Answer:
x = 3
Step-by-step explanation:
1 - 6x = - 17 ( subtract 1 from both sides )
- 6x = - 18 ( divide both sides by - 6 )
x = 3
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the systems of equations to their solutions.
2x + y = 12
x = 9 - 2y
x + 2y = 9
2x + 4y = 20
x + 3y = 16
2x - y = 11
y = 11 - 2x
4x - 3y = -13
y = 10 + x
-3x + 3y = 30
2x + y = 11
x - 2y = -7
x = 2, y = 7
x = 5, y= 2
x= 3, y=5
x = 7, y=3
Answer:
the answer is 87 keep trying also the answer 45 aha tricked you
Step-by-step explanation:
um not sure of the answer but loo-kit u p on o just keep trying quay
Answer:
Hey I got you!
Step-by-step explanation:
These are the correct answers I use another easier platform you could say
Makayla’s test grades increased from 80 to 95. What is the percent of increase? Write the number only, no percent sign.
Answer:
18.75
Step-by-step explanation:
80 = 100%
1% = 100%/100 = 80/100 = 0.8
the grades changed by 95 - 80 = 15.
how many % is that ?
we find the answer by checking how often 1% fits into 15. and we do this kind of check by division :
15 / 0.8 = 18.75
so, the grades changed by 18.75%.
I need to know which matches which thank you
Answer:
number 1 matches 8/12, number 2 matches 11/12, number 3 matches 12/24, number 4 matches 11/24, number 5 matches 10/12
Step-by-step explanation:
find the minimum common multiple and then add the top numbers and keep the denominator (bottom number) the same.
Select the correct answer.
Which two ratios are NOT equal?
A.
1 : 6 and 3 : 18
B.
2: 14 and 3: 42
C.
12: 6 and 2: 1
D.
3: 11 and 6: 22
Answer:
B
Step-by-step explanation:
Equal ratios can be found by multiplying/ dividing the parts by the same value.
A
1 : 6 ( multiply both parts by 3 )
= 3 : 18 ← equal ratios
B
2 : 14 ( multiply both sides by 3 )
= 6 : 42 ≠ 3 : 42 ← ratios not equal
C
12 : 6 ( divide both parts by 6 )
= 2 : 1 ← equal ratios
D
3 : 11 ( multiply both parts by 2 )
= 6 : 22 ← equal ratios
Can someone help? This is so hard.
y equals 50° since there is a 90° and a 30°
Answer:
cos^-1 (9/15)
Step-by-step explanation:
find the slope and y intercept
(0,1) and (2,-3)
whats the slope M=
whats the y intercept b=
Answer:
y = -2x + 1
Step-by-step explanation:
Y2 - Y1 / X2 - X1
-3 - 1 / 2 - 0
-4 / 2
= -2
y = -2x + b
-3 = -2(2) + b
-3 = -4 + b
1 = b
y = -2x + 1
what is f (x) = (3x^4 +1) ^2
Answer:
Cancel the common factor. Divide x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x3+43 f - 1 ( x ) = 2 x 3 + 4 3 is the inverse of f(x)=3x−42 f ( x ) = 3 x - 4 2
Step-by-step explanation:
pls help ill give brainliest
Simplify the expression : 8-(x-4)-2x+3(5-x) ?
Answer:
-6x+27
Step-by-step explanation:
thanks + brainliest = explanation
if needed, of course :)
Identify the like terms of 3x, choose all that apply:
Answer:
-2x, x, 5x
Step-by-step explanation:
Answer:
5x-2xxStep-by-step explanation:
Like terms a self-explanatory. These are values that are alike. There has to be something they share in common. And those are: same variables, integers, etc. Am integer that is alike in terms has to have the same variable. For instance, 3x and 3y are not alike because they do not share the same variable.
3xy
It may have an "x" with it, but it is not alike because it also contains another variable, "y", which is not the same as "3x".
3
This may confuse people. Just because it is "3" and we have "3x" doesn't mean they are alike. There is no "x" in 3. And three is an integer.
7y
Seven has a y, which is different from an x.
This net folds into the cube shown beside it. Which letters will be on the front and top?
Answer:
f
and
c
the top is f and front is c
Step-by-step explanation:
f and c
E and C
Step-by-step explanation:
E on the front
C on the top
I hope it helps
[tex](5x10^3)x(9x10^7)[/tex]
Answer:
Step-by-step explanation:
[tex](5x10^{3})x(9x10^{7})=5*9*x^{1+1+1}*10^{3+7}\\\\=45x^{3}*10^{10}[/tex]
In general, as sample size increases: a.the standard error will remain the same regardless of changes in sample size. b.the standard error fluctuates in size. c.the standard error increases in size. d.the standard error is a constant. e.the standard error decreases in size.
Answer:
With a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean
Step-by-step explanation:
Plz help I need help with. 4
Answer:
y=rx
36=r*12
36=12r
36/12=12r/12
3=r
Solve pls brainliest
Answer:
$180
Step-by-step explanation:
simple interest means that interest is paid every year on the original $200
To find 3% of 200, you multiply 200(.03) = $80.
$200(3)=$60
Since the interest is the same, 3(60) = $180
Hope this helps
Describe the location of the point having the following coordinates.
nonzero abscissa, negative ordinate
O Quadrant l or Quadrant IV
O Quadrant III or Quadrant IV
O Quadrant II or Quadrant IV
O Quadrant lor Quadrant II
Answer:
Quadrant III or Quadrant IVStep-by-step explanation:
i Hope it's helpful for you
Help pls it’s a bit tricky
[tex]2x-5y=10\\\\\implies 5y = 2x-10\\\\\implies y =\dfrac{2x-10}5 = \dfrac{2}5 (x-5) = \dfrac{2x}5 - 2[/tex]
Answer:
(D) [tex]y = - \frac{2x}{5} - 2[/tex]
Step-by-step explanation:
The problem consist in isolate the [tex]y[/tex] variable
The steps are below:
[tex]2x -5y = 10\\-5y = 10 - 2x\\y = \frac{10 - 2x}{5}[/tex]
Know the trick is in separate the fraction in two others as this example:
[tex]\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}[/tex]
So in our case we have:
[tex]y = -\frac{10}{5} - \frac{2x}{5}\\y = -2 -\frac{2x}{5}[/tex]
That correspond to D
h=19+3.5w. What could the number 3.5 represent in the equation?
Answer:
the slope of the equation
Step-by-step explanation:
If you are to
evaluate your life now using polynomial functions , how will you
look at it?
A stadium has 10,500 seat and 8 vip boxess The is divied into 12 equalbsections 2 premuin sections and 10 standred sestion A seat at the premiun sections coast $45 per game.A seat at the standrad sections coast $27 peer game.How many seatsb are there in each section
Answer:
???????????????????????????????
Step-by-step explanation:
what is the value of this expresston 3(s^3-6s) + 4t^2 when s=5 and t=3
Answer:
321
Good Luck!!
(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answer:
5.39
Step-by-step explanation:
To find the third side (let's call it x) you plug the side lengths given into the Pythagorean theorem to get:
5² + 2² = x²
Which, simplified, is:
25 + 4 = x²
And to get x, you do:
x=√(29)
So, if you want it to the nearest hundredth, it is 5.39.
square root of 29.00
Step-by-step explanation:
5square +2square=29 to the nearest hundredth 29.00 .but there is no square root of 29
Greg builds a pond which is volume 7.35m. it is 4.2m long.What is the width of the pond?
Answer:1.75m
Step-by-step explanation:
The figure shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true?
It is 3 throughout the line.
It is fraction 1 over 3 throughout the line.
The slope from point O to point A is fraction 1 over 3 time the slope of the line from point A to point B.
The slope from point O to point A is three times the slope of the line from point A to point B.
Answer:
Every time the y-value decreases by 1, the x-value increases by 2, so the slope is -1/2 throughout the line.
Step-by-step explanation:
Answer:
It is the on below because I did an FLVS test and got it right
Step-by-step explanation:
It is fraction 1 over 3 throughout the line.
Solve it ( i'll select u as brainlist )
Answer:
x=5/6 y=8/5
Step-by-step explanation:
times the second one w 2
equals to -12x+10y=-6
then add this to the above one together,you can eliminate the x, then solve an equation w only y.
after you get y, get it into whatever the above one or below one,you will get the x as well
Answer:
x = 5/6
y = 1 and 3/5
Step-by-step explanation:
12x + 15y = 34
-6x + 5y = 3
12x + 15y = 34
3(-6x + 5y = 3)
12x + 15y = 34
-18x + 15y = 9
30x = 25
30x/30 = 25/30
x = 5/6
-6x + 5y = 3
-6(5/6) + 5y = 3
-5 + 5y = 3
+5 +5
5y = 8
5y/5 = 8/5
y = 1 3/5
3. Each beam of sunlight (a, b, or c above) delivers 1300 joules of energy per second (i.e. 1300 watts) overains
of the upper atmosphere, perpendicular to the direction of the beam (ie. the beam hits a flat surface. Sveta
sunlight spreads out when it hits the Earth, use your answers from 2 above to calculate the amount of enerosta
(c)
actually delivered per 100 m of surface in each of sunlight beams a, b, and c.
Answer:
i believe the answer is 13 ?
Step-by-step explanation:
1300 divided by 100 is 13 im not sure if this is right tho sry if im wrong.
what is the verbal expression for 6f^2+5f
Answer:
f = 5/6 = 0.833 or f = 0
Step-by-step explanation: