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Nonamiya [84]
3 years ago
10

A designer wants to make use of a half-spherical cistern in a water system. If the cistern has a diameter of 5.5 feet, how many

gallons of water can it hold?
Mathematics
1 answer:
mamaluj [8]3 years ago
8 0
\textit{volume of a sphere}=\cfrac{4}{3}\pi r^3\qquad r=radius
\\ \quad \\
\textit{so, a half of that, or a half-sphere volume}=\cfrac{\frac{4}{3}\pi r^3}{2}
\\ \quad \\
\cfrac{4}{3}\pi r^3\cdot \cfrac{1}{2}\implies \cfrac{4\pi r^3}{6}\implies \cfrac{2\pi r^3}{3}

plug in your radius
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Ethan surveyed 120 registered voters at random out of a total of 12,600 registered voters in town. He asked them who they planne
krek1111 [17]

Answer:

Based on the results of the survey, the total number of registered voters expected to vote for Ms. Gibson in the upcoming election are 4725 votes

Step-by-step explanation:

Ms. Gibson has 45 votes of 120 votes

let Ms. Gibson vote of 12,600 be x

45      120

x        12600

cross multiply

120x = 45 x 12600

120x = 567,000

Divide all through by 120

x = 567000 / 120

x = 4725

Based on the results of the survey, the total number of registered voters expected to vote for Ms. Gibson in the upcoming election are 4725 votes

5 0
3 years ago
 student found the slope of a line that passes through the points (1, 14)and (3, 4) to be 5. What mistake did she make?
vladimir2022 [97]
Y2-y1/x2-x1
(1,14) & (3,4)
y2= 4
y1=14
x2=3
x1=1

So....

(4-14)/(3-1) = -10/2 = -5

The answer should be negative instead of positive, she probably subtracted 4 from 14 instead.
5 0
3 years ago
What is the order of rotational symmetry for the figure
Naily [24]

Answer:

Order of symmetry = 1

Step-by-step explanation:

First of all we will define rotational symmetry.

Rotational symmetry is when a shape looks the same after some rotation or less than one rotation.

The order of rotational symmetry is how many times it matches the original shape during the rotation.

The given shape, when rotated will only have the shape like original shape after one complete rotation so the order of symmetry is one ..

5 0
3 years ago
Sets<br> Let A = {1, 2, 3, 8} and {x | x is an even whole number less than 9}, find An B <br>​
spin [16.1K]
  • A={1,2,3,8}

B={x|x is an even whole no less than 9}

  • B={2,4,6,8}

Now

\\ \sf\longmapsto A\cap B=\{2,8\}

6 0
2 years ago
Read 2 more answers
The area of a rectangular patio is 5 5/8 square yards, and it's length is 1 1/2 yards. What is the patio's width in yards?
MAXImum [283]
Hello there! Thank you for asking your question here at Brainly. I will be assisting you today with answering this problem, and will be teaching you how to deal with it on your own in the future.

First, let's take a look at our question, and evaluate it.

"The area of a rectangular patio is 5 5/8 square yards, and it's length is 1 1/2 yards. What is the patio's width in yards?"

To clarify this problem, we are looking for the patio's width.

Let's first understand what the area of a rectangular shape is.
The formula for the area of a rectangle is "Length times Width", or "L • W".

So this is how the equation should look like:
A = L • W
We have our area, 5 5/8, and we have our length, 1 1/2.

To make things more simple, let's convert our fractions to decimals. Now, to convert our fractions to decimals, let's set our denominators (the numbers on the bottom of a fraction) equal to another fraction, with x as the numerator (the numbers on the top of a fraction) and 100 as the denominator.

So we have 1/2 and x/100. Divide 100 by 2 to find x (as 1/2 of anything is dividing by 2).
100 / 2 = 50, so 1 1/2 = 1.50 as a decimal.

Now, let's try 5/8.
1/8 = 0.125, so multiply 0.125 by 5.
0.125 • 5 = 0.625.
5 5/8 = 5.625 as a decimal.

So, now we have our equation:
A = L • W
Plug in our numbers.
5.625 = 1.50x

To isolate and solve for x, we need to divide both sides by 1.50, so let's do that.
5.625 / 1.50 = 3.75
1.50x / 1.50 = x

We are now left with:
x = 3.75

Your answer is:
The patio's width is 3.75 yards.

I hope this helps!
8 0
3 years ago
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