I just purchased a swimming pool with the dimensions of 15 feet across and 42 inches deep. Yes it is a circle. I need to know how many gallons of water it will hold. I am having a tanker brought out and need to know how much they need to bring because they charge by the gallon to bring it out.

Answers

Answer 1
Answer: When the pool is full to the rim, you'll have a cylinder of water.  The diameter
of the cylinder is 15-ft, and the height of the cylinder is 42 inches.

Here are the tools you'll need:

-- Volume of a cylinder = (pi) (radius squared) (height)
-- Radius = 1/2 diameter = 7.5 feet
-- Keep everything in the same units.  Depending on which unit
you prefer,  7.5 feet = 90 inches,  and 42 inches = 3.5 feet.

I like inches and cubic inches, because I remember that
1 gallon = exactly 231 cubic inches.

Volume of the cylinder = (pi) (radius squared) (height)

Volume = (pi) (90 squared) (42) = (pi) (8,100) (42) = 1,068,769.8 cubic inches

1,068,769.8 / 231 = 4,626.7 gallons
===================================
Slightly easier:

about 7.48 gallons = 1 cubic foot

Volume = (pi) (7.5-ft squared) (3.5-ft) = 618.5 cubic feet

(618.6 cubic-ft) x (7.48 gallons per cubic-ft) = 4,627.1 gallons

The results are not identical, but don't panic.  They are equal
to within about 51 ounces (0.009 percent).  The tanker will either
spill or evaporate more than that during the process of the delivery.

By the way ... you'd be wise not to install the pool on the second floor.
That much water weighs a little over 19.3 tons !




 

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1.a.)In a two-digit number, the units digit is twice the tens digit. If the number is doubled, it will be 12 more than the reversed number. Find the number.
b.)Eight times the sum of the digits of a certain two-digit number exceeds this number by 19. The tens digit is two less than the units digit. Find the number.
c.)In a two-digit number, the units digit is twice the tens digit. If the number is doubled, it will be 9 more than the number reversed. Find the number.
ALL DUE IN 7 MIN! HELP NOW OR NEVER

Answers

x: the unit digit
y: the tens digit

The unit digit is twice the tens digit so:
x=2y

The two digit number:
10y+x

The two digit number doubled:
2(10y+x)

The reversed number:
10x+y

So:
2(10y+x)=10x+y+12

substitute x for 2y

2(10y+2y)=10(2y)+y+12

24y=21y + 12

3y=12
y=4

x=2y=2*4=8

So the number is 48.
xy is the number


a.
unit digit is y
tens is x
units is twice tens digit
y=2x
if it is doubled, it will be 12 more than reversed
20x+2y=12+10y+x
20x+4x=12+20x+x
3x=12
x=4
y=2x
y=2(4)
y=8
48 is the number




b. 8 times sum of digis is bigger than that number by 19
8(x+y)=19+10x+y
x=y-2

8(y-2+y)=19+10(y-2)+y
16y-16=19+10-20+y
y=3
x=y-2
x=3-2
x=1
the number is 13


c.
y=2x
2(10x+y)=9+10y+x
2(10x+2x)=9+20x+x
x=3
y=2x
y=3(3)
y=6

the number is 36



a. 48
b. 13
c. 36

The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is mc024-1.jpg. What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall?

Answers

We will use the Pythagorean theorem to determine the height:h^(2)=15^(2) - 3.5^(2) h^(2) =225 - 12.25=212.75 Finally: h= √(212.75)=14.5859
Answer Ladder will reach the height of 14.59 feet ( to the nearest hundredths).

Answer: it's 14.6 feet

If Jo is supposed to read one-half of a 100-page book for an English assignment and she has finished 38 pages, what percent of the assignment does she have left to do? Please answer and explain

Answers

(1)/(2)\cdot100=50\ (pages)\n\n50-38=12\ (pages)\n\n(12)/(50)\cdot100\%=(12\cdot2)\%=24\%\leftarrow answer

On the graph of the equation 2x + 5y = βˆ’30, what is the value of the y-intercept?

Answers

The value of y intercept in the given equation of line is  -6 or (0,-6) .

Given,

Equation of line :

2x + 5y = βˆ’30

Now,

y intercept is when the line crosses the y axis or when x = 0

Substitute x = 0 in the equation of line to get the y intercept value .

So,

2(0)+5y=-30

0+5y=-30

5y=-30

divide 5

y=-6

Thus,

value of y intercept is -6 or (0,-6)

Know more about lines,

brainly.com/question/21511618

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y intercept is when the line crosses the y axis or when x=0
set x=0

2(0)+5y=-30
0+5y=-30
5y=-30
divide 5
y=-6

value of y intercept is -6 or (0,-6)

What is a function in your own words?

Answers

A function is a black box, with a funnel to put numbers in, a chute where
numbers come out, a crank on the side, and some machinery inside.

You put a number in, turn the crank, and a number comes out ... usually
different from the one you put it.

If you do that enough times with enough different numbers, you can figure out
what machinery is inside.

Or, if you know what the machinery is, then when you put a number in,
you can always predict what number will come out.

Solve for the given variable

1. f= (9)/(5)c+32 solve for c

Answers

f=(9)/(5)c+32\n5f=9c+160\n9c=5f-160\nc=(5f-160)/(9)