This is a pond in the shape of a prism. It is completely full of water
Colin uses a pump to empty the pond.
The level goes down by 30 cm in the first 30 minutes.
Work out how many minutes Colin has to wait for
the pond to completely empty.​

Answers

Answer 1

Kindly check picture to the question below.

Answer:

150 minutes

Step-by-step explanation:

Volume of prism = height * base area

Height of prism = 1m

Base area = area of a trapezium

Area of trapezium = 0.5(a + b) h

a, b = parallel sides, h= height of trapezium

Area of trapezium = 0.5(1.4+0.6)*2

Area = 0.5(2)*2 = 2m²

Hence,

V of prism = area of trapezium * height of prism

Volume = 2m² * 1m = 2m³

Decrease in water level due to pumping

20cm decrease in 30minutes

(20/100)m in 30 minutes

0.2 m decrease in height of water

Hence, height of water in prism after 30 minutes pumping :

height - 0.2 = 1 - 0.2 = 0.8m

Volume after 30 minutes of pumping :

Base area * new height

2m² * 0.8m = 1.6m³

Decrease in volume over 30 minutes :

(Initial volume - volume after pumping)

2m³ - 1.6m³ = 0.4m³

If ;

0.4m³ = 30 minutes

1.6m³ = x

0.4x = 48

x = 48 / 0.4

x = 120

Hence, it takes 120 minutes for the remaining 1.6m³ to be emptied.

Hence, total wait time :

120 minutes + 30 minutes

= 150 minutes

This Is A Pond In The Shape Of A Prism. It Is Completely Full Of WaterColin Uses A Pump To Empty The

Related Questions

helppp ill mark u as brain list​

Answers

Answer:

It is hard to see the picture, but I think it is 6.

Step-by-step explanation:

Solve this system
5x – 4y + 2z = 21
-x - 5y + 6z=-24
--x – 4y + 5z =-21
O x = 5, y = -1, z = -4
0 x = 1, y = 5, z = -4
O x=-5, y = 1, z = -4
O x = -4, y = -1, z = 5

Answers

Answer:

Its the first option

Step-by-step explanation:

What is Becca’s speed in miles per hour?

Answers

Answer:

1.5 OR 1 1/2

Step-by-step explanation:

Convert the fractions into decimals.

9/10 = 0.9

3/5 = 6/10 = 0.6

Divide the decimals.

0.9/0.6 = 1.5

Convert back to fraction.

1.5 = 1 1/2

A saving account earns 4.5 simple interest per year. If 650.00 is deposited and no withdrawals or deposits are made during one year how much interest will be earned after one year

Answers

Answer:

29.25 Interest

Step-by-step explanation:

Take the formula: I=PRT

The principal is 650.00, 4.5 is the rate, 1 year is the time, We do not know the interest.

Change the rate, 4.5 to 0.045 to help solve the problem.

Times 650.00, 0.045, and 1 together.

You will get 29.25, Which is the answer!

Booyah! You are done.

Hope this helps!

I need help wit this

Answers

Answer:

$12.75

Step-by-step explanation:

Do $71.75 - $8.00. Next divide that by 5. Here you should get the "each hour" amount.

Answer: $12.75

Step-by-step explanation:

He paid ^^ per hour - $8.00

10. Which of the following describes two
triangles that are similar to one another?

Answers

Answer:

It's d

Step-by-step explanation:

i did it and got it right

What is the equation of the line that passes through the point (5,1) and has a slope if 6/5

Answers

Answer:

y = 6/5x - 5

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

If in one batch of cookies, you used 6 cups of dough and 2 cups of chocolate chips. How many cups of chocolate chips will you need to make 3 batches of cookies?​

Answers

1 batch = 2 cups
3 batches = 2 x 3 = 6 cups

Each bag of skin contains 2.6 ft.³ of sand, how many bags of sand will need to be purchased to completely fill the sandbox?

Answers

Answer:skin?

Step-by-step explanation:

Can someone help with this.

Answers

A
Both would be considered exterior angles.

.
If y = x +3,
find the value of y when x = 2​

Answers

Answer:

Y=-4

Step-by-step explanation:

y = 3x + 2

y = 3(-2) + 2

y = -6 + 2

y = -4

Answer:

Y=5

Step-by-step explanation:

Y=2+3

So that why y is 5

Please rate my comment I am new and I would lie to help others thankyou ♥

HELP ASAP

Select the real-world problem that could be solved using a proportion.

Answers

Answer: D

Step-by-step explanation:

D can be solved using 300/6 = x/10 making it a proportion

Use what you know about end behavior to match each function in standard form with its graph below.

Answers

Answer:

2=C

3=A

4=D

5=B

Step-by-step explanation:

Answer:

2=C

3=A

4=D

5=B

Step-by-step explanation:

Water along the Mississippi River is rising at a rate of 24.8 cm/hr. The top of a dock in the river currently sits only 1.2 meters above the water. How many hours will it take the water to reach the top of the dock

Answers

Answer:

4.84*10^-4hours

Step-by-step explanation:

Speed = Distance/Time

Time = Distance/Speed

Given

Distance = 1.2m = 0.012cm

Speed = 24.8cm/hr

Get the time;

Time = 0.012/24.8

Time = 4.84*10^-4hours

Hence it will take the water 4.84*10^-4hours to reach the top of the dock

whats the solution pls help

Answers

Answer:

1/x^7

Step-by-step explanation:

Answer:

1/x^7

Step-by-step explanation:

Write a rule for the sequence.

4, 8, 16, 32, . . .
A. Start with 4, and multiply by 2 repeatedly.
B. Start with 4, and add 8 repeatedly.
C. Start with 4, and add 2 repeatedly.
D. Start with 2, and multiply by 4 repeatedly.

Answers

Answer:

a

Step-by-step explanation:

4X2 is 8 8x2 is 16 16x2 is 32

What’s the answer to m/3-2m/5=1/5

Answers

Answer:

m = - 3

Step-by-step explanation:

[tex]\frac{m}{3} - \frac{2m}{5} = \frac{1}{5}[/tex]

It is much easier to work with whole numbers, compared to fractions, hence one should remove the denominator of the fraction. This can be done by multiplying by the LCM (least common multiple). In this case, it is fairly obvious that the LCM of 3 and 5 is 15. Therefore multiply the entire equation by 15.

[tex]15*\frac{m}{3} - 15*\frac{2m}{5}=15*\frac{1}{5}[/tex]

Simplify

[tex]5m-6m=3[/tex]

[tex]-m=3\\m=-3[/tex]

I don't know if it's supposed to do with (n-2)180
Also please explain :D

Answers

Step-by-step explanation:

[tex] sum \: of \: interior \\ \: angels \: is  \: 2340 \:  degrees. \\

(n−2)⋅180=2340 \\

180n - 360=2340 \\ 180n = 2700 \\

n=15 \\

 

number \: of \: sides=15[/tex]

the polygon is 15 sided.

do you know what is 25 x 100

Answers

Answer:

2500

Step-by-step explanation:

20x100=2000

5x100=500

2000+500=2500

:)

Please hurry!!! Urgent!!!

Answers

Answer:

x=9

Step-by-step explanation:

-1+14x=12x+17

2x=18

x=9

Answer: x=9

Step-by-step explanation:

so the equation on top -1+14x= 125

and 12x+17= 125

What is an equation for the translation of y = |x| down 8 units?

Answers

your answer would be 4

Convert the following equation to Slope-Intercept Form
HINT: Slope-Intercept Form is y = mx + b
y-8= 3(x + 5)

Answers

Answer:

y = 3x + 23

Step-by-step explanation:

Given the equation :

y - 8 = 3(x + 5)

We are to convert the equation to slope - intercept form:

Recall: general form of a slope - intercept model:

y = mx + c

Hence,

y - 8 = 3x + 15

y = 3x + 15 + 8

y = 3x + 23

Comparing :

y = mx + c

y = 3x + 23

(Will mark brainliest) Please help as soon as possible for 30 points

Answers

Answer:

90

Step-by-step explanation:

a triangle's angles all add up to 180. take 51 and 39 away from 180 and you get 90

Answer: 90 degrees

Step-by-step explanation:

Theorem:

a+b+c=180 degrees

39 degrees + 51 degrees + x degrees = 180 degrees

39 + 51 = 90

180 - 90 = 90

Find the slope on the line

Answers

Answer:

Zero slope

Step-by-step explanation:

Answer:

1.3

Step-by-step explanation:

Can someone help me understand this

Answers

Answer:

Step-by-step explanation:

If we define the line QR to be some variable of distance 'x', we can use the relationship of cosine to figure out the length of QR.

Remember, cosine is adjacent of the angle divided by the hypotenuse of the angle. So, if we take this x value over the longest side (hypotenuse), we get the value of cos(theta).

cos(25) = x/7

Multiply both sides by 7 to get:

7*cos(25) = x

Let your calculator do the work to get:

x = 6.3

Evaluate 0.5m + 1.2m when m = 4

Answers

Plug in 4 for m.
So, 0.5(4)+1.2(4)
2+4.8
= 6.8.

Answer:6.8.

Step-by-step explanation: 0.5(4) + 1.2(4) 2 + 4.8= 6.8.

1 kilogram =2.2
1 stone=14 pound
change 42 kilogram into stones

Answers

Answer:

6.6 stones

Step-by-step explanation:

1kg=2.2 pounds=>42kg=2.2*42poumds=92.4pounds

1stone=14pounds=>92.4pounds=92.4÷14stones=6.6stones

Someone help plz worth 5 point :(

Answers

Answer:

86 its the same thing on both sides if im wrong then 90?

Step-by-step explanation:

The answer will be 86 since it’s acrosss from it

PLZ ANSWER QUICK IT WILL HELP A LOT!

Answers

The answer is B. X axis

5x+2=7x-4. Plz answer my question

Answers

Answer:

x=3

Step-by-step explanation:

5x+2=7x−4  

5x+2−7x=7x−4−7x

−2x+2=−4  

−2x+2−2=−4−2

−2x=−6

-2x/2=-6/2

x=3

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