This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down by 20cm in the First 30min Work put how many minutes Colin has to wait for the pond to completely empty
Answers
Answer:
150 minutes
Step-by-step explanation:
P.S - The exact question is -
Given - This is the pond in a shape of a prism, it is completely full of
water. Colin uses a pump to empty the pond. The level goes
down by 20 cm in the first 30 min.
To find - Work put how many minutes Colin has to wait for the pond
to completely empty.
Proof -
Given that,
Height of prism = 1 m
Also,
Base of the prism is trapezium and
Sides of the trapezium are 0.6 m and 1.4 m
Height of trapezium is 2 m
We know that,
Area of trapezium = [tex]\frac{1}{2}[/tex]× (sum of sides)× height
= [tex]\frac{1}{2}[/tex]× (0.6 + 1.4)× 2
= [tex]\frac{1}{2}[/tex]× (2)× 2
= 2 m²
⇒Area of trapezium = 2 m²
Now,
Volume of prism = Area of trapezium × height of prism
= 2 m² × 1 m
= 2 m³
⇒Volume of prism = 2 m³
Now,
Given that the level goes down by 20 cm in the first 30 min
We know
100 cm = 1 m
⇒1 cm = [tex]\frac{1}{100} m[/tex] = 0.01 m
⇒20 cm = 20×0.01 m = 0.2 m
⇒The level goes down by 0.2 m in the first 30 min.
Also,
we know that height of water = height of prism = 1 m
So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m
Also,
Volume of Remaining water = Area of trapezium × height
= 2 m² × 0.8 m
= 1.6 m³
⇒Volume of Remaining water = 1.6 m³
Now,
Volume of emptied water = Total Volume - Volume of Remaining water
= 2 m³ - 1.6 m³
= 0.4 m³
⇒Volume of emptied water = 0.4 m³
Now,
0.4 m³ water will be empty in 30 minutes
⇒ 1 m³ water will be empty in [tex]\frac{30}{0.4}[/tex] = 75 minutes
⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes
∴ we get
The remaining water is empty in 120 minutes
So,
Total pond is empty in 120 + 30 minutes
⇒Total pond is empty in 150 minutes
Related Questions
A rectangular prism is filled with 356 cubes with an edge length of 1/4 what is the volume of this prism
Answers
Answer: volume = 5.5625 cubic units.
Step-by-step explanation:
A rectangular prism is filled with 356 cubes, then the volume of the prism will be equal to 356 times the volume of a single cube.
We know that for a cube with side length L, the volume is:
V = L^3
And we know that these small cubes have an edge length of 1/4 units.
Then the volume of each small cube is:
V = (1/4)^3 cubic units
V = (1/64) cubic units
And the volume of the prism will be 356 times that, then the volume of the prism is:
volume = 356*(1/64) cubic units
volume = 5.5625 cubic units.
What is Dario's hourly salary?
Answers
Answer:
Dario's hourly salary
is $11
PLEASE HELP!
what is the distance between points A and B shown in the graph below?
choices:
A: square root of 2
B: square root of 98
C: 10
D: 14
Answers
Shirts at A water park come in green or yellow they come in small or large they also have short Sleeves oat long sleeves how many Combinations of different colors size and sleeve are there
Answers
Suzy makes 20 dollars an hour at her job. Bill only makes 10 dollars an hour but he has a starting bonus of 20. When will Suzy and Bill make the same amount of money for the same number of hours worked? How much will they both earn at the same time?
Answers
Answer:
2 hours
Suzy would earn $40
Bill will earn $40
they will both earn $80
Step-by-step explanation:
The total amount suzy earns is a function of the total hours worked. Let t represent time
total income of suzy = $20t eqn 1
Bill's income = starting bonus + variable pay
= $20 + $10t
We are looking for when they would earn the same amount :
20t = $20 + $10t eqn 2
collect like terms and solve for t
10t = $20
t = 2 hours
Substitute for t in either eqn 1 or 2
20(2) = $40
Suzy would earn $40
Bill will earn $40
they will both earn $80
Hey! Can someone help me?
Answers
Answer:
Step-by-step explanation:
there are 4 sixes soo
[tex]6^{4}[/tex]
Answer:
[tex] {6}^{4} [/tex]
-have a nice day
Guided Practice
Find the slope and y-intercept of the equation.y=[tex]\frac{2}{3}[/tex]x+1
A.
1 ; [tex]\frac{2}{3}[/tex]
B.
23; 1
C.
23; −1
Answers
Answer: B. 2/3; 1
Use the slope-intercept form y = m x + b to find the slope m and y-intercept b .
Slope:
(2) /(3)
y-intercept:
( 0 , 1 )
Step-by-step explanation:
Find the slope and y-intercept of the equation. y = (2)/(3)x + 1
Find the Slope and y-intercept
HELP PLZ PLZ PLZ PLZ
IT IS A PIC
Answers
Answer:
A
Step-by-step explanation:
just count lol
it's 14 cubic units.
QR is a radius of circle R and PQ is tangent to circle R. Find the value of x.
Answers
Answer:
x = 13
Step-by-step explanation:
using the Pythagorean theorem
x² = 85² - 84²
x² = 7225 - 7056 = 169
x = 13
Answer:
x = √(85²-84²)
x = √(7225-7056)
x = √169
x = 13
Pls hyelp. Me needs hyelp palease . Preciate it. Hehehehehehehehehe
Answers
Answer:
Step-by-step explanation:
You want to factor out perfect squares if they exist.
[tex]1.\ \sqrt{36}=\sqrt{6^2}=6\\ \\ 2.\ \sqrt{40}=\sqrt{2^2(10)}=2\sqrt{10}\\ \\ 3.\ \sqrt{75}=\sqrt{3(5^2)}=5\sqrt{3}\\ \\ 4.\ \sqrt{120}=\sqrt{2^2(30)}=2\sqrt{30}\\ \\ 5.\ \sqrt{84}=\sqrt{2^2(21)}=2\sqrt{21}\\ \\ 6.\ \sqrt{48}=\sqrt{4^2(3)}=4\sqrt{3}[/tex]
Work out the circumference of this circle.
Take it to be 3.142 and give your answer to 1 decimal place.
4 cm
Answers
Answer:
circumference=2\pi r
25.12cm
Step-by-step explanation:
hope this helps
The required circumference of the given circle is 25.12 cm as shown figure.
What is the Circumference of a circle?The Circumference of a circle is defined as the product of the diameter of the circle and pi.
C = πd
where 'd' is the diameter of the circle
We have been given data as follows:
The radius of the circle (r) = 4 cm
Circumference of the circle = 2πr
Substitute the values in the above formula and we get
Circumference of the circle = 2π(4)
Circumference of the circle = 3.14(8) = 25.12 cm
The required circumference of the given circle is 25.12 cm.
Learn more about the Circumference of the circle here:
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Please help answer correctly !!!!!!!! Will mark Brianliest !!!!!!!!
Answers
Answer:
Step-by-step explanation:
(4,3) and (6,9)
difference of x-coordinates = 6-4 = 2
difference of y-coordinates = 9-3 = 6
distance between points = √(2²+6²) = √40 = 2√10
Write and equation in slope intercept form of the line shown
Answers
Answer:
y=-1x-4
Step-by-step explanation:
Its right trust me. Brainliest?
The Vincent family played a game of basketball. For each game, Ben kept a record of the number of 2-point baskets he attempted, and the number of 3-point baskets he attempted. After the family played several games, he made a scatter plot of the data using the 2-point shots as the x-variable and the 3-point shots as the y-variable. The scatter plot has a line of best fit with the equation y=1.2x+3.1
Answers
Answer:
your answer is The y-intercept represents how many 3-point shots Ben will try to make if he attempts 0 2-point shots.
Step-by-step explanation:
Answer:The y-intercept represents how many 3-point shots Ben will try to make if he attempts 0 2-point shots.
Step-by-step explanation:
PLZ PLZ PLZ PLZ HELP
Answers
You are welcome
Answer: -1/8 OR -0.125, -2^-3
Step-by-step explanation:
Chapter 2 Test
1) Choose the option that lists the values in order from least to greatest:
0.55
3
3
0.52
1
7
1
a) 3,0.52 ,0.55,
b) Ķ, 0.55 ,0.52,
C) 0.52, Ž, 0.55 , }
d) 0.52, 0.55,,
317
2) Choose the option(s) that are equal in value Marko
Answers
Answer:
C
Step-by-step explanation:
i have 8 boxes of chocolate i eat 3 chocolates from each box i now have 72 chocolates in total
Answers
Answer: there were 12 chocolates in each box. (Originally, before any got eaten)
Step-by-step explanation: let x represent the total amount of chocolates in each box.
8x - 3(8) = 72
8x - 24 = 72 add 24 to both sides
8x = 96 divide both sides by 8
X = 12
Answer:
That means you had 48 chocolates in each box
Step-by-step explanation:
Since you eat 3 chocolates from all 8 boxes, you do this:
8 x 3 which = 24
Now since you have 72 chocolates left you do this:
72 - 24 which = 48
So, therefore, there were originally 48 chocolates in each box
(Don't eat so much chocolate lol you could get sick)
a car travels a distance of 50 km in 30 minutes. what is the average speed
Answers
Answer:
100 km/hour, or 16.67 km/minute
Step-by-step explanation:
A recipe uses 5 cups of milk to make 30 servings. If the same amount of milk is used for each serving, how many servings can be made from one quart?
Answers
Answer:
Three gallons will be enough to make 128 servings.
Step-by-step explanation:
In Three gallons there are 64 cups. if 5 cups makes 10 servings, that is 1/2 cup per serving. So 64 cups will make 128 servings.
12y+15=24-6y ??????????????????
Answers
Answer:y=1/2
Step-by-step explanation:
Rex is making window cleaner by mixing vinegar and water. The ratio table
below shows how much of each ingredient to mix together.
WINDOW CLEANER
Cups of
Vinegar
Cups of
Water
1
3
2.
6
3
9
If Rex uses 7 cups of vinegar, how many cups of water does he need to add?
Answers
Answer:
21
Step-by-step explanation:
In the chart, the left side increases by one, and the right side increases by 3. So the left side multiplied by 3 will give you the right side. 7 x 3 = 21, so he will need 21 cups of water.
A large chocolate bunny costs $2.07. Chris only has $1.12. How much more money does Chris need in order to buy the bunny?
Answers
Answer
0.95 more cents
Step-by-step explanation:
2.07-1.12=0.95
Elena goes for a long walk this graph shows her time and distance traveled throughout the walk what was her fastest speed in miles per hour
I'LL GIVE BRAINLIEST IF YOU HELP ME
Answers
Answer:
she walked the fastest around the 2 hour mark and she walked 4 miles per hour
Step-by-step explanation:
This slope is the steepest if we count it, and it comes out to 4 miles per hour.
Thanks for Brianliest :D
Can Somebody help me real fast?
Answers
7x+12=180
7x=168
x=24
write an exponential function to describe the given sequence of numbers
2, 4, 8, 16, 32
the correct answer is HIGHLY appreciated, ill give brainliest if its *correct*
Answers
Answer:
The next one is 64. Can you mark branliest if it's right?
Answer:
F(x) = x^1 * 2
Step-by-step explanation:
Find the value of the variable(s). If your answer
is not an integer, leave it in simplest radical
form.
12.
x
30°
285
Not drawn to scale
a. x = 14, y = 42-43
b. x= 14 /3, y = 42
= 42-/3, v= 14
d x=42, y = 14 /3
Answers
Which statement is true about the data sets of two sets of quiz scores?
Sample A: 5, 5, 5, 5, 5 Sample B: 2, 2, 2, 2, 17
Select one:
Samples A and B have the same mean, but Sample A has a smaller median than Sample B.
Samples A and B have the same median, but Sample A has a larger mean than Sample B.
Samples A and B have the same median, but Sample A has a smaller mean than Sample B.
Samples A and B have the same mean, but Sample A has a larger median than Sample B.
Answers
Answer: Samples A and B have the same mean, but Sample A has a larger median then Sample B.
Step-by-step explanation:
The median is the middle number in the sequence.
To find the median, place the numbers in order. Then take away, or cross out, one number from each side. Keep going until you are down to one or two numbers. If there is only one number left, that’s your median. If two, add the numbers together and divide by 2.
The mean is the average. To get the mean you add up all the values and subtract that sum by how many numbers there are in the sequence.
Option D is correct for the given conditions, Samples A and B have the same mean, but Sample A has a larger median than Sample B.
What are measures of central tendency?The descriptive summary of a data set is known as the central tendency in statistics. It reflects the center of the data distribution through the use of a single number from the dataset. Additionally, it only provides a summary of the dataset rather than information on specific data within the dataset. In general, several statistical metrics can be used to determine a dataset's central tendency.
Given the data sets of two sets of quiz scores,
Sample A = 5, 5, 5, 5, 5
sample B = 2, 2, 2, 2, 17
mean is the average of total samples,
mean of sample A = (5 + 5+ 5 + 5 + 5 )/5
mean of sample A = 5
Mean of sample B = (2 + 2 + 2+ 2 + 17)/5
mean of sample B = 5
since the mean of both sample are same,
median is the central digit of sets
median of A is 5 and the median of B is 2,
so the median of sample A is larger than sample B.
Hence option D is correct.
Learn more about central tendency;
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