A cylindrical water tank is 12 feet high and 10 feet in diameter. the entire tank, inside and out, is to be painted. if a gallon of paint covers 200 sq ft, how many gallons will be needed?

Answers

Answer 1

if we paint the tank on the outside, we'll be covering SA of surface area, however we're also painting it on the inside, so the area inside assuming the material thickness is negligible, we'll be covering SA as well, so we'll be needing SA + SA = 2SA ft² of paint to do the whole thing.

so, its diameter is 10, that means its radius is 5.

[tex]\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=12\\ r=5 \end{cases}\implies \begin{array}{llll} SA=2\pi (5)(12+5)\implies SA=170\pi \\\\\\ \stackrel{\textit{twice as much}}{2SA=340\pi } \end{array}[/tex]

now, hmmm we know that 1 gallon can do 200 ft², how many gallons are there in 340π ft²?

[tex]\begin{array}{ccll} gallons&ft^2\\ \cline{1-2} 1 & 200\\ x& 340\pi \end{array} \implies \cfrac{1}{x}~~=~~\cfrac{200}{340\pi } \\\\\\ 340\pi =200x\implies \cfrac{340\pi }{200}=x\implies \stackrel{gallons}{5.34}\approx x[/tex]


Related Questions

5x + 3 - 2x = 5. What is the value of x?

Answers

Answer:

x = 2/3

Step-by-step explanation:

5x + 3 - 2x = 5

3x = 5-3

3x = 2

x = 2/3

give brainliest please!

hope this helps :)

2/3 because if you take all of the numbers on the right and all of the x’s on the left you get 3x = 2. Which is x = 2/4

awnser this pls im in a bad mood

Answers

Answer:

I think its 1/6 and if I'm wrong I'm very sorry but I think its 1/6

Step-by-step explanation:

Answer:

it's [tex]7* \frac{1}{6} =\frac{7}{6}[/tex]

Step-by-step explanation:

Yeah same, have a great day I guess i don't know I'm not in the mood

What is the volume of the right rectangular prism?
15 mm
Î
Area of base = 49 sq. mm
O 64 mm³
3
O 128 mm³
O 735 mm³
O 1,470 mm³

Answers

Answer:

735mm³

Step-by-step explanation:

V=A of base×h

=49×15

=735mm³

solve for x
9x - 5
6x + 4
7x + 7

Answers

Answer:

this can not be solved by X cause the equation is not equal to anything

Step-by-step explanation:

the goal is to remove numbers to get X by itself.

1. 9x-5 = 0
(how do we get 9x alone?, ADD five on each side
9x= 5
(how do we get rid of 9?, DIVIDE)
x= 5/9

if you want to get rid of a number, do the opposite!

6x + 4 = 0
- 4 = -4
6x = -4
divide by 6
x = -4/6
now simplify
x = -2/3


7x + 7 = 0
-7. -7
7x = -7
divide by 7
x = -7/7
x = -1

i hope this made sense!!

Describe the trend in the scatterplot

Answers

Answer:

negative correlation

Step-by-step explanation:

If you were to draw a line of best fit (a line that best expresses the relationship between a group of points), it would have a negative slope.

What is the probability you spin something larger than 10

Answers

The probability you spin something larger than 10 will be 1  /  2.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The given data is:-

There are 8 numbers in the spinner.We need to find the probability of a number greater than 10.

The probability will be calculated as:-

Total numbers = 8

Numbers greater then 10 are = 13 , 16 , 22 , 42 = 4

Probability  =  4  /  8  =  1  /  2

Therefore the probability you spin something larger than 10 will be 1  /  2.

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What figure is a dilation of Figure A by a factor of 12?


A quadrilateral labeled figure A. The sides are labeled 2 inches, 4 inches, 1 inch, and 5 inches, clockwise about the figure.




Note that the images are not necessarily drawn to scale.





A.A quadrilateral. The sides are labeled 1 inch, 3 inches, 0.5 inch, and 4 inches, clockwise about the figure.


B.A quadrilateral. The sides are labeled 4 inches, 8 inches, 2 inches, and 10 inches, clockwise about the figure.


C.A quadrilateral. The sides are labeled 3 inches, 5 inches, 2 inches, and 6 inches, clockwise about the figure.


D.A quadrilateral. The sides are labeled 1 inch, 2 inches, 0.5 inch, and 2.5 inches, clockwise about the figure.

Answers

The dilation factor for the question should be 1/2 as per options

So

dilated lengths are

2(1/2)=1in4/2=2in1/2=0.5in5/2=2.5in

Option D

Answer:

D

Step-by-step explanation:

Figure A is dilated by a scale factor of 1/2.

Hence, new dimensions will be :

⇒ 1/2 × 2 = 1 inch

⇒ 1/2 × 4 = 2 inches

⇒ 1/2 × 1 = 0.5 inch

⇒ 1/2 × 5 = 2.5 inches

Option D has the right dimensions

37, 42, 48, 51, 52, 53, 54, 54, 55

Answers

sorry, what’s the question?

Q
7/0
The mean weight of 8 girls in a group is 35 kg. The individual weights of seven of then
are 35kg, 28kg, 43kg, 25kg, 33kg, 51kg, and 22kg. Find the weight of the 8th girl.

Answers

The weight of the 8th girl in the class is 43 kg

How to determine the weight of the 8th girl?

The given parameters are:

Mean weight = 35 kg

Weight of 7 girls = 35kg, 28kg, 43kg, 25kg, 33kg, 51kg, and 22kg

Let the weight of the 8th girl be x.

Mean is calculated using:

Mean = Sum/Count

So, we have:

(35+ 28+43+25+33+51+22 + x)/8 = 35

Evaluate the sum

(237 + x)/8 = 35

Multiply both sides by 8

237 + x = 280

Subtract 237 from both sides

x = 43

Hence, the weight of the 8th girl is 43 kg

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Find the measures of a right triangle where one of the acute angles is 3.5 times the other

Answers

Answer:

the other two angles are 70° and 20°

Step-by-step explanation:

The measures of a right triangle where one of the acute angles is 3.5 times the other angle, the angles are respectively, 20°, 70°, 90°

What are the sum of interior angles of triangle ?

The sum of all the interior angles of a triangle is 180°

Given that,

A right angle triangle,

In which one of the acute angle is 3.5 times the other triangle

Suppose, one of the acute angle = x

then the other triangle = 3.5x

The sum of the triangle = 180°

x + 3.5x + 90° =180°

4.5x  = 180 - 90

        =  90

x   = 90/4.5

    = 20

The one acute angle = 20

The another triangle  = 3.5 x 20

                                    = 70

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Can someone help please?

Answers

Answer:

its the first one

Step-by-step explanation:

In a quadratic function, the second differences are the same.

In the first table, the first differences are:

3-6 = -3;

2-3 = -1;

3-2 = 1;

6-3 = 3

The second differences are then:

-1--3 = 2;

1--1 = 2;

3-1 = 2

The second differences are the same, so this is a quadratic function.

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.
Out of a randomly selected 2200 people from the population, how many of them
would have an IQ less than 115, to the nearest whole number?

Answers

Using the normal distribution, it is found that 1851 people would have an IQ less than 115.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 100, \sigma = 15[/tex]

The proportion of IQ scores less than 115 is the p-value of Z when X = 115, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{115 - 100}{15}[/tex]

Z = 1

Z = 1 has a p-value of 0.8413.

Out of 2200 people:

0.8413 x 2200 = 1851.

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Answer:

1851

Step-by-step explanation:

if its a whole number than its 1851

Which angle is vertical to ∠EID?

Answers

Answer:

C

Step-by-step explanation: It's vertical to the angle, together it makes 368 degrees

Answer:

C) Angle HIA

Step-by-step explanation:

Vertical Angles are the angles directly across from each other in a transversal. In this case, angled EID and HIA are vertical to each other (which also makes them congruent).

Hope it helps!

Which phrase best describes the translation from the graph y = 2(x – 15)2 + 3 to the graph of y = 2(x – 11)2 + 3?
4 units to the left
4 units to the right
8 units to the left
8 units to the right

Answers

The translation of the function y = 2(x - 15)² to y = 2(x - 11)² + 3 is; 4 units to the left.

How to Interpret Graph Translations?

We are given the graph function;

y = 2(x - 15)²

Now, the function above was translated to get;

y = 2(x - 11)² + 3

Now, when we translate a graph to the right, we subtract from the x-value, but if we move the graph to the left, we subtract from the x-value. Thus;

The translation was 4 units to the left.

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The full question.the full question you were asking for ​

Answers

Answer:

I'm getting stuck by

[tex] = lim \: \: \: \: \: \: \frac{ {h}^{ \frac{1}{5} } }{h} \\ h > 0[/tex]

Sorry I can't help you out, if you find the answer through FP lmk

Tom and Kathy want to borrow $35,000 in order to build an addition to their home. Their bank will lend them the money for 12 years at an interest rate of 5 3/8%. How much will they pay in interest to the bank over the life of the loan?

Answers

Interest of 35000 =
35000* 3.8 / 100 = 1330
3500 / 12 years = 243
Tom and kathy will they pay in mounth through 12 years .
1330 / 12 years = 9.2

Total pay in mounth = 243+ 9.2 = 252.2


The dimensions of a right rectangular prism are 1.5 cm,0.5 cm and 2. 25 cm.
What is the volume of the prism?

Answers

The volume of the triangle will be V=1.6875 cm^3

Sam opened a stationery store in his neighborhood. His annual profit grew by $5,000 per year in the first 2 years. Then for 2 years, his annual profit was constant at $10,000 each year. Then his annual profit grew by $10,000 per year for the next 3 years.

Which graph models the piecewise function for the given situation?

Answers

Please find attached the image of the graph that models the function.

What is a graph?

A graph is a pictorial representation of data. A graph is made up of the x-axis and the y-axis.  On this graph, the number of years is on the y-axis and the profit is on the x-axis.

Profit in year 1 = $500 Profit in year 2 = $5000 + $5000 = $10,000Profit in year 3 and 4 = 10,000Profit in year 5 = 10,000 + 10,000 = $20,000Profit in year 6 = 20,000 + 10,000 = $30,000Profit in year 7 = 30,000 + 10,000 = $40,000

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Answer: other dude is correct

Step-by-step explanation:

PLEASE HELP ASAP ILL MAKE YOU THE BRAINIEST
Write the ratio for sin A

Answers

Answer:

Step-by-step explanation:

Formula

The sin(A) =  opposite / hypotenuse

Givens

Opposite = CB = 11

Hypotenuse = AB = 61

Solution

Sin(A) = 11/61

Sin(A) = 0.1803

Answer

Sin(A) = 11/61

Sin(A) = 0.1803

A school sold all but 5 of ta school sold all but 5 of their old computers for r1200 each the school received r18000 from the sale. how many comps did the school originally old computers for r1200 each the school received r18000 from the sale. how many comps did the school originally have

Answers

Answer:

  20

Step-by-step explanation:

The proceeds from the sale can be described by an equation involving the original number of computers.

__

setup

Let n represent the number of computers the school originally had. Then n-5 is "all but 5" and is the number sold. Each is sold for ₹1200, and the value of the sale is ₹18000. This can be expressed by the equation ...

  (n -5)×1200 = 18000

__

solution

This 2-step linear equation can be solved by dividing by the coefficient, and adding the opposite of the constant.

  n -5 = 18000/1200 = 15 . . . . . divide by 1200

  n = 15 +5 = 20 . . . . . . . . . . add the opposite of -5

The school originally had 20 computers.

y² + 2y - 48 ( factor the polynomial )

Answers

Answer:

(y - 6)(y + 8)

Step-by-step explanation:

Find two numbers that add to 2 and multiply to -48. Then put them in the form above. Afterwards, use FOIL (First, Outside, Inside, Last) to check the factoring and you get: y² + 2y - 48

Have a great day! :)

Answer:

−8, 6

Step-by-step explanation:

Write the factored form using these integers. (y−8) (y+6)

An awards dinner costs $225 plus $5 for each person making reservations the total bill is $735 how many people attended the dinner

Answers

The number of people attended dinner is 102.

What is an Equation ?

An equation is a mathematical statement when two algebraic expressions are equated by an equal sign.

It is given in the question that

An awards dinner costs $225 plus $5 for each person making reservations

the total bill is $735

people attended the dinner = ?

Let x number of people attended the dinner

$225 + $5 * x = $735

5x = 735-225

5x = 510

x = 102

Therefore , 102 people attended the dinner.

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Amelie solves the following system of equations.
Which values of x and y satisfy this system of equations?

Answers

The values of x and y that satisfy this system of equations are 10 and 5 respectively

Simultaneous equation

Given the system of equations

x + y = 20

3x - 3y = 30

_____________________

x + y = 20

x - y = 10

Add the equations

2x = 20 + 10

2x = 30

x = 30/2

x = 15

Substitute

x -y = 10

15 - y = 10

y = 5

Hence the values of x and y that satisfy this system of equations are 10 and 5 respectively

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ΔXYZ has angles with the following measurements:
m∠X=(10x-33)°
m∠Y=(4x-19)°
m∠Z=(100-2x)°
What are the measures of the three angles?

Answers

Answer:

Below in bold.

Step-by-step explanation:

The 3 angles add up to 180 degrees as they are in a triangle.

So 10x - 33 + 4x - 19 + 100 - 2x = 180

12x = 180 + 33 + 19 - 100

12x = 132

x = 11.

So the 3 angles are

10(11) - 33 = 110 - 33 = 77 degrees

4(11) - 19  =  25 degrees

100 - 2(11) = 78 degrees

Agree or disagree.most supervisors accept that i cannot always be on time for work.

Answers

Answer:

The answer is your opinion.

Step-by-step explanation:

Agree.whit this statement

PLEASE ANSWER ASAP!!!!!!!!!!!! MUCH APPRECIATED!!

Answers

The equation that's illustrated simply depicts an investment as it shows the principal, and interest rate.

What is an investment?

It should be noted that an investment simply means a dedication of an asset in order to increase the value over a period of time.

In this case, the equation that's illustrated simply depicts an investment as it shows the principal, and interest rate. To calculate the investment, the time, amount and rate will be considered.

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4 divided by 5/7 in its mixed form and simplest form

Answers

[tex]4\div\cfrac{5}{7}\implies \cfrac{4}{1}\div\cfrac{5}{7}\implies \cfrac{4}{1}\cdot \cfrac{7}{5}\implies \cfrac{28}{5}\implies 5\frac{3}{5}[/tex]

BRAINLIEST (9th grade mathematics)

Half of the road the boy walked at a speed of 6 m / min, the other half - at a speed of 4 m / min. Calculate the average walking speed of a boy.​

Answers

Answer:

5 m/min

Step-by-step explanation:

Initial speed = 6 m/ min

Final speedd = 4 m/ min

[tex]Average\:speed\:=\:\dfrac{total\:speed}{2}[/tex]

Average speed = [tex]\dfrac{ 6 + 4}{2}[/tex]

Avg. Speed = 5 m / min.

The answer to the question is 10

15 points, I have 0 idea how to solve this, please explain your answer​

Answers

We know that lines e, and d are parallel. And they both cut through a straight line. Knowing that the bottom half are supplementary angles we know they will add up to 180 degrees. As you can see the congruent measurement on the left side of the equation is 154 degrees to find the measurement of angle
ANSWER: 26 degrees.

I hope this helps sorry for typos, this was on my phone and please thanks this reply and rate it if it did!

80 Points, please help!
If using the method of completing the square to solve the quadratic equation x^2-11x-14=0, which number would have to be added to "complete the square"?

Answers

Answer:

±√177/2+11/2

Step-by-step explanation:

Use the formula (b/2)^2 in order to create a new term. Solve for x by using this term to complete the square. Exact Form:x=±√177/2+11/2

x=12.15206734…,−1.15206734…

Answer:

30.25

Explanation:

Quadratic Equation: x² - 11x - 14 = 0

Number added = (b/2)² = (-11/2)² = 30.25

Solving Steps:

x² - 11x = 14

[add both sides by 30.25]

x² - 11x + 30.25 = 14 + 30.25

[complete square]

(x - 5.5)² = 44.25

[exchange sides]

(x - 5.5)² - 44.25 = 0
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