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
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
Related Questions
A circle's circumference is approximately 88 cm. Estimate the diameter, rounding to the nearest WHOLE number. (don't forget your units and use 3.14 if you need to use )
Answers
Answer:
diameter = 28 cm
Step-by-step explanation:
circumference = 2πr
88 cm = 2 * 3.14.*r. ( π = 3.14 )
r = ( 88)/(3.14*2)
r = 14 cm
diameter = 2 * radius
diameter = 2 * 14 cm
diameter = 28 cm
Answer:
28 cmStep-by-step explanation:
Circumference formula:
C = πdSubstitute values of circumference and the π to find the diameter:
d = C/πd = 88/3.14 = 28 cm (rounded)Please help I’m so confused
Answers
Answer:
[tex]40 {m}^{2} [/tex]
hope it's helpful ❤❤❤❤❤
THANK YOU.
What is the vaule of 5/6 ÷ 3/4
Answers
Answer:
0.625
Step-by-step explanation:
5/6 x 3/4 = 0.625 in decimal form.
5/6 x 4/3
20/18 = 1 2/18
4a^2b^2,12ab^2,-8a^2b
Answers
Please explain I don’t know how to factor odd numbers
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Select all that apply. If there are 8 chocolate chip cookies out of 20 total cookies in a jar, what is the probability that you will randomly choose a chocolate chip cookie?
Answers
Answer:
2/5, 40%, 0.4
Answer:
0.40 ,40%, 2/5
Step-by-step explanation:
Help - sorry it’s blurry I couldn’t fix it
Answers
Cos(32)= x/23
Than solve for x
X= 19.18 o 19.2
pls answer this asap
Answers
Answer:
its c or d
Step-by-step explanation:
elimination method -2x-7y=13 and 3x+6y=15
Answers
Answer:
The answer is (61/3), (-23/3)
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Hoped this helped!
12x+3y=-9
find y- intercept
Answers
Answer:
3
Step-by-step explanation:
subtract 3y from both sides
add 9 to both sides
3y=12x+9
divide everything by 3
y=4x+3
y-intercept is 3
At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85. At the same theater, a family bought 3 medium drinks and 2 large popcorns for a total of $23.90. What is the cost of a large popcorn?
Answers
Popcorn = $6.25
(6.25x2) + (3.80x3)
12.50 + 11.40
23.90
6.25 + (3.80 x2)
6.25 + 7.60
13.85
What is the exact value of x? 5⋅21^5x=16
Answers
Answer:
x= 16 /20420505
Step-by-step explanation:
Let's solve your equation step-by-step.
5(215)x=16
Step 1: Simplify both sides of the equation.
20420505x=16
Step 2: Divide both sides by 20420505.
20420505x /20420505 = 16 /20420505
x= 16 /20420505
1 1/5 - 1/2 how do i get this answer?
Answers
Answer:
7/10
Step-by-step explanation:
1 1/5 -1/2 = 6/5 - 1/2 = 12/10 - 5/10 = 7/10
Why do we use fractions to represent slope?
Answers
Answer:
The formula for slope is sometimes referred to as "rise over run", because the fraction onsists of the "rise" (being the change in y, going up or down) divided by the "run" (being the change in x, going from left to the right).
Step-by-step explanation:
What value(s) of z makes the equation 7/6 Z + 1/3 = -5 / 6 true; Z = -1, Z= 2, Z= 1, or Z= -36 / 63?
Answers
Answer:
Z = -1
Step-by-step explanation:
to find which value of Z makes the equation true substitute each value of Z into the equation.
Z = -1
7/6(-1) + 1/3 = -5/6
-5/6=-5/6
all other values of Z will not give u an equal statement
what times 60 equals 105
Answers
( you divide 105/60 to get 1.75)
Answer:
1.75
Step-by-step explanation:
To do this you would have to do
105/60=1.75
so that would be the answer
Select all of the statements that correctly describe the Pythagorean theorem and it’s converse
Answers
Answer:
IS there a picture?
Step-by-step explanation:
Answer:
Step-by-step explanation:
there is no choices to choose from only a question so I'm not sure what the answer choices are.
PLEASE HELP ME ASAP!!! I REALLY NEED HELP :(
Answers
Answer:
See below
Step-by-step explanation:
GivenR is the midpoint of SQ and PTTo proveΔPQR ≅ ΔTSRSolutionR is the midpoint of SQ
SR = 1/2SQ and RQ = 1/2SQ ⇒ SR ≅ RQR is the midpoint of PT
PR = 1/2PT and RT = 1/2PT ⇒ PR ≅ RTSQ and PT intersect at point R ⇒
∠PRQ ≅ ∠TRS as vertical anglesTriangles PQR and TSR have two sides and the included angle congruent, therefore:
ΔPQR ≅ ΔTSR,as per SAS congruence postulate
If two sides and the included angle in one triangle are congruent to two sides and the included angle in another triangle, then the two triangles are congruentwhat is the absolute value of -6 please help
Answers
Answer:
6
Step-by-step explanation:
its 6
What is the value of y=10x+2 when x=4
Answers
Answer:
y = 42
Step-by-step explanation:
Given
y = 10x + 2 ← substitute x = 4
y = 10(4) + 2 = 40 + 2 = 42
Answer:
=42
Step-by-step explanation:
y=10(4)+2
10 x 4 = 40
40 + 2 = 42
y=42
Write an equation for the line that passes through the points (0, -2) and (-4, 0).
y = - x - 4
y = -2 x - 4
y = -2 x - 2
y = - x - 2
Answers
Answer:
y=-1/2x-2
Step-by-step explanation:
I dont think any of those options are the right one so thats the correct answer
Answer: y = -1/2x - 2
Step-by-step explanation:
To first write the equation, we need to find the slope and the y intercept and write it in the form y=mx +b
To find the slope, we will find the difference between the y coordinates and divide it by the difference between the x coordinates.
The y coordinates of the points are , 0 and -2
The x coordinates of the points are -4 and 0
0 - (-2) = 2
-4 -0 = -4
Slope: 2/-4 = -1/2
Now using the formula y=mx+b, you will input the slope and use one of the given point's coordinates to solve for b the y intercept.
We will use the point (0,-2)
-2 = -1/2(0) + b
-2 = b
This means the equation will be y = -1/2x - 2
Find the value of x.
3521
3x-2
Answers
Answer: 47
we have:
41° + 3x - 2 = 180°
⇔ 3x - 2 = 180 - 41
⇔ 3x - 2 = 139
⇔ 3x = 139 + 2
⇔ 3x = 141
⇔ x = 141/3
⇔ x = 47
Step-by-step explanation:
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Which equation shows how the distributive property can be used to find the number of
Xs in both arrays?
Answers
Answer:
here is a simple version
lets make A equal the exponent so (A=^2 or 3 or whatever)
the exponent will be the amount of times you want to repeat the process.
Now lets make x = the first array, so x=3
and lets make y = the second array, y=7
now a simple equation would be (3x)(7y)^A or for this you could say
(3x)(7y)^6
What is the probability of the compound event of spinning a 3 on a 5 number spinner and landing on tails with a coin.
Answers
Answer:
1/10
Step-by-step explanation:
1/5 to land on the spinner, and 1/2 to land on tails. Compound prob = we gotta multiply the probabilities so we get 1/10
please helppppppp meee
Answers
Answer:
2.73
Step-by-step explanation:
Bc I did this
8 (5 + 4n) + 11 = -5 (3 - 7n)
Answers
Answer:
n=1
Step-by-step explanation:
(5 + 4n) + 11 = -5 (3 - 7n)
5+4n+11=−5(3−7n)
simplify
4n+16=−5(3−7n)
expand
4n+16=−15+35n
regroup
4n+16=35n−15
subtract
16=35n−15−4n
simplify
16=31n−15
add
16+15=31n
simplify
31=31n
n=1
Hope this helps :)
(pls mark brainliest)
Answer:
n=22
Step-by-step explanation:
8 (5 + 4n) + 11 = -5 (3 - 7n)
distribute
=> 40+32n+11=-15+45n
add like terms
=> 51+32n=-15+35n
subtract 35n on both sides and subtract 51 on both sides
32n-35n=-15-51
add like terms
-3n=-66
divide both sides by -3
n=22
Does anyone else play nitro type?
Answers
Answer:
I do!
Step-by-step explanation:
Answer:
no sorry but i do know some friends that play..
if you have 5 true or false questions with 4 answers each how many test are possible
Answers
Answer:
20 answers possible.
Step-by-step explanation:
5(4) is 20, since there are 5 true or false questions, and 4 answers per question, there will be a total of 20 questions.
simplify each expression.
(4 - 2i) - (-3 + i)
Answers
Answer:
2i - (-3 + i)
Step-by-step explanation:
I think this is it. Sorry if it's wrong
Answer:
7 -3i
Step-by-step explanation:
Simplify by combining the real and imaginary parts of each expression
WILL GIVE BRAINLIEST!!!!!!!!
A substance decays 35% each day. After 8 days, there are 8 milligrams of the substance remaining. How many milligrams were there initially?
251 milligrams
3 milligrams
45 miligrams
126 milligrams