The company plans to have the tanks painted after they are installed. Describe the effect that doubling the diameter has on the amount of paint needed to paint the tanks. What happens when the diameter is increased by a factor of 3?

Answers

Answer 1

Answer:

The effect of doubling the diameter is increased the area to paint as 4 times. So, paint needed is 4 times than it was before. And the area is increased by 9 times when the diameter is increased by a factor of 3. So, paint needed is 9 times than before.

Step-by-step explanation:

Please remember the concept

If side lengths are in the ratio a : b

Then the area are in the ratio of a^2 :b^2

The volume are in the ratio of a^3 :b^3,

When diameter is doubled, the area ratio becomes [tex]x^{2} :(2x)^{2}[/tex] which is simplified to [tex]x^{2} :4x^{2}[/tex]

So, the area is increased by 4 times.

According to this concept , the diameter is increased by the scale factor 3.

Let the diameter of tank is 'x', so the diameter becomes "3x"

So, it's area ratio would be [tex]x^{2} :(3x)^{2}[/tex]

If we simplify it we get [tex]x^{2} :9x^{2}[/tex]

We conclude that  area to be increased by 9 times.


Related Questions

Contestant and like terms. What do they mean?

Answers

Answer:

Step-by-step explanation:

Like Terms: terms that have the same variable raised to the same power. So like 5x plus 5x plus 5. 5x and 5x are like terms.

I'm going to assume you mean Constant instead of contestant so

Constant: Terms without variables

Example: 5x+2x+7

5x and 2x are like terms

7 is a Constant

Use the graph of f(x) to find the indicated values.
f(-2) =


Answers

The answer is 1. Let me know if u want a detailed response telling you how to actually find it :)
The correct answer would be 1

A store sold 156 boxes of candy canes over the holiday season. Each box contained 12 candy canes. How many candy canes were sold in all?

Answers

Answer:

1,872 candy in total :)

Step-by-step explanation:

Is the table proportional? 1,5 2,10 3,15​

Answers

Answer:

no becuz its a whole number not a fraction

Step-by-step explanation:

ax+b

a=5

b=0

A caterpillar moves across the grass at a rate of 4 feet every 7 minutes. How fast does the caterpillar move in feet per minute?

Answers

Answer:

0.57 feet per minute.

Step-by-step explanation:

If the caterpillar moves 4 feet every 7 minutes, it can be written as a ratio: 4/7. When you divide 4 by 7, you'll find the feet per minute rate.

please help me with this

Answers

Answer:

whole i think

Step-by-step explanation:

my teacher drew this on the board last year and i think it was whole numbers im not sure tho

Which of the following conditions is necessary to prove that a quadrilateral is a parallelogram?
A. the diagonals bisect each other
B. The diagonals are congruent
C. The diagonals are perpendicular
D. The diagonals intersect on the perpendicular bisector of the two sides?

Answers

C.the diagonals are perpendicular i think :D

Which expression is equal to 4√32 • √2
A. 16
B. 4√2
C. 32
D. 16 √2

Answers

the is c.32$&$&#&#

Step-by-step explanation:

&&&&

If f (x)
-3x + 2 and g (2) = x + 1 find g(f(x)) please helppp

Answers

[tex]\left \{ {{f(x)=-3x+2} \atop {g(x)=x+1}} \right.[/tex]

To find g(f(x)), Substitute f(x) in g(x).

[tex]g(-3x+2)[/tex]

Then substitute x = -3x+2 in g(x) = x+1

[tex]g(-3x+2)=(-3x+2)+1\\g(-3x+2)=-3x+2+1\\g(-3x+2)=-3x+3[/tex]

Therefore, the answer is [tex]g(f(x))=-3x+3[/tex]

The aquarium has 198 fish tanks with 15 fish in each. They also have 297 tanks with 12 crustacean in each. Does the aquarium have more fish or crustaceans?

Answers

*ANSWER: Crustacean, by just dividing aquariums, and the crustceans, there's more Crustaceans.

HELPPPP
Jonathan purchased pants for 25% off. the original cost of the pants were $54.75 what was the cost of the pants after discount?​

Answers

Answer:

$41.0625

Step-by-step explanation:

Divide $054.75 by 4

Multiply the answer to that (13.6875) by 3 or subtract 054.5 by 13.6873

The answer to that step is your answer.

Solve the equation. -0.2(30) + 0.5x = 0.2(30 + x)

Answers

Answer:

x=40

Step-by-step explanation:

Use the​ slope-intercept form to graph the equation y=-8/3x+3

Answers

Answer:

See below :)

Step-by-step explanation:

The easiest way to graph this is to find the x-intercept and y-intercept,

y-intercept:

The y-intercept is extremely easy to find as it's just the "b" in "y = mx + b"

If there is no b, it's (0,0). If there is a b, its (0,b)

This is because the y-intercept is where the lines hits the y-axis so we know x must be 0. We can plug in x as 0 to find y:

y = m(0) + b

y = b

In this case, the y-intercept is (0,3) because the b in y = -8/3x + 3

x-intercept:

The x-intercept requires a little more work. It's the same as the y-intercept. The x-intercept is where the lines hits the x-axis so we know y must be 0. The x-intercept is (x,0)

We can use this to plug in y as 0:

0 = mx + b

mx = -b

Now we use this to find the the x-intercept:

0 = -8/3x + 3

8/3x = 3

Divide both sides by 8/3:

x = 3 * 3/8

x = 9/8

In this case, the x-intercept is (9/8,0)

Now we can use these points and connect a line to them and then the lines keeps going forever. Look at the picture I uploaded :)

by any chance does anyone know the answer?

Answers

Answer:

Area of a square

Step-by-step explanation:

the second one

Answer:

area of a square

Step-by-step explanation:

area is found by multiplying length times width. perimeter is found by adding. the area of a triangle wouldn't work because in order to find that, you would need to multiply by all three sides.

Adam rode in a bike-a-thon. At the end of each hour of the bike-a-thon, he recorded the total distance he had traveled since the bike-a-thon began. This is shown in the table below. Based on this table, is the total distance traveled by Adam a function of time?

Answers

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.

Step-by-step explanation:

Answer: no, because it’s he total distance of 32 miles is repeated in the table

Step-by-step explanation:

I passed the test

A number divided by eight is three

Answers

The answer is 24
Since 24 divided by 8 is 3
Hope this helps!! :)

Answer:

24

Step-by-step explanation:

24/8=3

-6x+2y=24
answer for y​

Answers

Answer:

I hope this is right y=12+3x

PLEASE HELP FAST!!
4. Find the unknown side of the triangle below (round to the nearest tenth). Show your work. Х 15 cm 14 cm​

Answers

Answer:

104

Step-by-step explanation:

15 x 14= 210 divide by 2

105

180 - 105 = 75

15 + 14 + 75 = 104

i need help with this fast

Answers

AE = CE (given)
AB = CD (given)
E is the midpoint of BD (given)
BE = ED (if a point is a midpoint then it splits the segments into two congruent parts)
Triangles are equal/congruent ( By SSS)

yall im looking rough today...no filter ​

Answers

Answer:

ok

Step-by-step explanation:

Please help....And please show steps..
The ratio of boys to girls at a college is 4 : 5. How many boys and girls are there if the total number of students is 3321?

Answers

Answer:

1476:1845

Step-by-step explanation:

4+5=9

4÷9 ×3321

And

5÷9=3321

1476:1845

need help quick its due at 9

Answers

Their equal because they both go the same

can someone please answer this

Answers

Answer:

y = -0.6x + 24.6

Step-by-step explanation:

The diagonal of rectangle ABCD measures 2 inches in
length.
What is the length of line segment AB?
B
60°
С
1 inch
O inches
4 inches
O 413 inches
2.
30°
А"
D

Answers

Answer:

B. √3

Step-by-step explanation:

Edge 2021

Leave your answers as a fraction or improper fraction.

Answers

Answer:

Soda tax — Should people have to pay an extra tax on soda or junk food?

Your conversation should include the following:

A total of at least five entries for each side (10 entries total—two to three sentences each)

Accurate facts used to support both perspectives

At least two properly cited sources used for research

Step-by-step explanation:

Tamara has a cell phone plan that charges $0.07 per minute plus a monthly fee of $19.00. She budgets $29.50 per month for total cell phone expenses. What is the maximum number of minutes Tamara could use her phone each month in order to stay within her budget?

Answers

Answer:

525 minutes

Step-by-step explanation:

Given that the monthly fee for the phone is $19 and the call charges rate is $0.02 per minute.

Her monthly budget is $29.50.

Let Tamara can make a maximum number of n minutes call in a month.

So, call charges for n minutes = $0.02n

Total monthly expenses on her phone = 19+0.02n

As her monthly budget is $29.50.

So, 19+0.02n=29.50

0.02n=29.50-19

0.02n=10.50

n=10.50/0.02

n=525

Hence, she can make a maximum of 525 minutes call.

Simply the expression (2.5x - 5) - (7x - 9.7)

Answers

Answer:

correct answer is b!!!

what type of angle is this?

Answers

The correct answer is A which is obtuse

Hi! please help me out its due very sooon :((

Answers

Answer:

y= 1/3x -6

Step-by-step explanation:

you just have to plug the given values into the slope intercept formula:

y = mx +b

where M is the slope and B is the y-intercept

Answer:

y = 1/3x - 6

Step-by-step explanation:

In the diagram at right, which letter, with regards to W, is the angle of depression?

Answers

Answer:

c

Step-by-step explanation: i think

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