Answers
Answer:
Colin will have to wait for 2 hours for the pond to completely empty
Step-by-step explanation:
Volume of a Prism
The volume of a prism of base area Ab and height H is computed with the formula:
V=Ab.H
We are given a pond in the shape of a prism with a trapezoidal base (front view).
The area of a trapezoid of bases b1 and b2, and height a, is given by:
[tex]\displaystyle A_b=\frac{b_1+b_2}{2}.a[/tex]
The parallel bases of the trapezoid have measures of b1=0.6 m and b2=1.4 m, and the height is a=2 m, thus the area is:
[tex]\displaystyle A_b=\frac{0.6+1.4}{2}*2[/tex]
[tex]A_b=2\ m^2[/tex]
The height of the prism is H=1m, thus the volume of the pond is:
[tex]V=2\ m^2*1\ m[/tex]
[tex]V=2\ m^3[/tex]
It's also known the level of the pond goes down by 20 cm (0.2 m) in the first 30 minutes. Note at this moment the level is still at the rectangular prism zone of the pond, thus the volume of water is calculated as the area of the face of water by the height it went down:
[tex]V_w=1\ m*2\ m*0.2\ m = 0.4\ m^3[/tex]
The pond still has this volume of water:
[tex]V_p=2\ m^3-0.4\ m^3=1.6\ m^3[/tex]
The pond was drained [tex]0.4\ m^3[/tex] in 30 minutes, thus the rest of the water will be taken out in
[tex]\frac{1.6}{0.4}*30 =120\ min[/tex]
Thus, Colin will have to wait for 2 hours for the pond to completely empty
Related Questions
Please help ASAP!! WILL GIVE BRAINLIEST!!!!! This will get my grade up to passing, please. Who ever helps tysm. :)
Answers
Answer:
J=18.5
K= 16
L= 17
M= 18
W= 625
X=645
Y= 729
Z= 1000
On a test with 25 problems, Grace got 88% correct. How many problems did Grace get correct?
Answers
Answer:
3 I think forgive me if im wrong.
Step-by-step explanation:
5+(−3)(6x−5) using distributive property
Answers
Answer:
x= -1.8
Step-by-step explanation:
5+(-3)(6x-5)
the -3 goes into the 6x and -5
5+(-18x)+15
switch so like terms are together
5+(-5) these cancel out leaving you with
-18x+15-5
combine like terms
-18x+10
divide both sides by -18
x=-1.8
Help pls! will give brainliest!
what is a 11 percent markup of $18
Answers
Answer:
$16.02
Step-by-step explanation:
Answer:
$20.22
Step-by-step explanation:
rs=5y+2 , st=2y+3 , rt=12y-15 what is the value y
Answers
Answer:
6
Step-by-step explanation:
5y + 2 +2y + 3 = 12 - 15
7y + 5 = 12y - 15
7y + 20 = 12y
20 = 5
6
please help!! I'm confused
Answers
Help I have problems to resolve that
Answers
Pls help solve this question
Answers
Interpretation of axes and scales:
The horizontal axis (x-axis): There is time in seconds on the horizontal axis
Scale: 1 unit in the x-axis = 1 second
The vertical axis (y-axis): There is the distance in feet which is the height of the elevator from the ground on the horizontal axis
Scale: 1 unit in the y-axis = 20 feet
Interpretation of the origin:
The coordinate is represented by the point (0,0) in the graph. This means at time = 0 the height of the elevator =0, i.e the elevator is on the ground at the starting time.
Triangle GHI with vertices G(4, 1), H(5, -4), and I(2, -8) REFLECTED over the line y = x.
Answers
Answer:
[tex]G' = (1,4)[/tex]
[tex]H' = (-4,5)[/tex]
[tex]I = (-8,2)[/tex]
Step-by-step explanation:
Given
[tex]G = (4,1)[/tex]
[tex]H = (5,-4)[/tex]
[tex]I = (2,-8)[/tex]
Reflection: [tex]y = x[/tex]
Required
Determine the coordinates of G'H'I'
The following applies when a line A is reflected over [tex]y = x[/tex]
[tex]A = (x,y)[/tex]
[tex]A' = (y,x)[/tex]
i.e, we simply swap the positions of x and y
So, for:
[tex]G = (4,1)[/tex]
[tex]H = (5,-4)[/tex]
[tex]I = (2,-8)[/tex]
The reflections are:
[tex]G' = (1,4)[/tex]
[tex]H' = (-4,5)[/tex]
[tex]I = (-8,2)[/tex]
See attachment
Can someone please help me I have been stuck what one
Answers
Answer:
The inequality matches the graph is 2n + 5 ≤ 7 ⇒ A
Step-by-step explanation:
Let us solve the question
From the given graph
∵ The arrow starts from 1 and pointed to the left (negative part)
∵ The starting point of the arrow is bold
∴ The sign of the inequality is ≤ (smaller than or equal)
→ That means the solution of the inequality is all the numbers ≤ 1
∴ The solution of the inequality is n ≤ 1
→ Look at the choices and find which one has the sign ≤ and check if
it will give the same solution or not
∵ The inequality is 2n + 5 ≤ 7
→ Subtract 5 from both sides
∴ 2n + 5 - 5 ≤ 7 - 5
∴ 2n ≤ 2
→ Divide both sides by 2
∴ n ≤ 1
∵ The inequality gives the same solution of the given graph
∴ The inequality matches the graph is 2n + 5 ≤ 7
Hyan has saved $300 more than two-thirds of the cost of the down
payment on a car. If he has $1240 saved, how much is the down payment?
algebra problem
Answers
Answer:
$1410
Step-by-step explanation:
Hyan has $1240 saved, which is equal to 2/3 of the down-payment, plus an additional $300
$1240-$300= $940
$940 is equal to 2/3 of the payment, in other words, it's two 1/3 payments, so we can split $940 into two to see how much is equal to 1/3 of the payment.
$940/2= $470 = 1/3
Three 1/3 equal 1 whole so we multiply $470 by 3 to find the amount of the whole payment
$470x3= $1410
Diego pours 6.8 ounces of water from a full bottle. He estimates that he poured out 20% of the water in the bottle. About how much water was in the full bottle? Diego pours out 25% of the remaining water. About how many ounces did he pour the second time? Explain your reasoning.
Answers
Answer:
34 ounces were in the full bottle , The second time he poured about 7.48 ounces
Step-by-step explanation:
20 times 5 = 100 so,
6.8 times 5 = 34
PART 2
Diego poured out 20% wich is equal to 6.8 and if you subtract both pour's that he did you get 20.4. The you subtract that amount that he had already poured from the total wich gives you 13.6 and 5% of 13.6 is 0.68. Add 0.68 and 6.8 to get 7.48
its all in the picture
Answers
Answer:
6
Step-by-step explanation:
..............................
Answer:
f(- 3) = 6
Step-by-step explanation:
f(- 3) means what is the value of f(x) when x = - 3
Locate x = - 3 on the x- axis
Then go vertically up to meet the graph at (- 3, 6 )
The value of f(- 3) is therefore 6, that is
f(- 3) = 6
find the value of x (3/5)^x(5/3)^2x=125/27
Answers
Given:
The equation is
[tex]\left(\dfrac{3}{5}\right)^x\left(\dfrac{5}{3}\right)^{2x}=\dfrac{125}{27}[/tex]
To find:
The value of x.
Solution:
We have,
[tex]\left(\dfrac{3}{5}\right)^x\left(\dfrac{5}{3}\right)^{2x}=\dfrac{125}{27}[/tex]
[tex]\left(\dfrac{5}{3}\right)^{-x}\left(\dfrac{5}{3}\right)^{2x}=\dfrac{5\times 5\times 5}{3\times 3\times 3}[/tex] [tex][\because \left(\dfrac{a}{b}\right)^{-m}=\left(\dfrac{b}{a}\right)^{m}][/tex]
[tex]\left(\dfrac{5}{3}\right)^{-x+2x}=\dfrac{5^3}{3^3}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
[tex]\left(\dfrac{5}{3}\right)^{x}=\left(\dfrac{5}{3}\right)^{3}[/tex]
On comparing the exponents, we get
[tex]x=3[/tex]
Therefore, the value of x is 3.
Pls help will give brainiest
Answers
Answer:
0.75
Step-by-step explanation:
The diameter of a football is 12 cm. Calculate its volume.
Answers
Answer:
(4/3)*(22/7)*6*6*6
answer is 905.14
I don't understand this?
Answers
Answer:
THE ANSWER IS B. If someone owes something the number is negative, and if someone has money the number is positive, MARK ME BRAINLIEST!!!!!!
Step-by-step explanation:
Lana is deciding whether to buy a pool pass for the summer. A pass costs $36.00 and
$1.00 for admission each day. Without a pass, the cost is $5.00 per day. Use the
system of equations below to find the number of days, d, Lana will need to go to the
pool for the cost, c, to be the same with and without a pass.
Answers
Answer:
9 days
Step-by-step explanation:
two right triangles that are not similar can still have a pair of congruent acute angles.
A. True
B. False
Answers
Answer:False.
Step-by-step explanation:Any two right triangles, similar or not, must have one pair of congruent angles, the right angles. If one pair of acute angles angles is congruent, then by AA Similarity, the triangles are similar.
I need that r d d d d d. D d d d d d d. D
Answers
Answer:
D is not a function.
Step-by-step explanation:
The first option is a function because it makes up a straight line. The second option is also a function because it is also known as y = -3/2x + 2 creating a slope function. The third option is also a function because there is no more than one point for each x value. The last option is not a function because the number 2 is going for 2 variables A and B and you can't have them with more than one so D is your answer.
Answer:
D is not a function.
Step-by-step explanation:
The first option is a function because it makes up a straight line. The second option is also a function because it is also known as y = -3/2x + 2 creating a slope function. The third option is also a function because there is no more than one point for each x value. The last option is not a function because the number 2 is going for 2 variables A and B and you can't have them with more than one so D is your answer.
Solve the equation. 15 = 2w – 5
Answers
Answer:
hope my answer is helpful to you
plz mark me as brainlist and also follow me
Answer:
w=10
Step-by-step explanation:
you would first add 5 on both sides. Then you would get 20=2w then you would divide 2 by both sides. w=10
help please? don't put anything If you don't know the answer or else ill report
Answers
Answer:
d. (-3,-1)
Step-by-step explanation:
what is the value of (-5)^4?
Answers
Answer:
625
Step-by-step explanation:
(-5)×(-5)×(-5)×(-5) = 625
Answer:
625
Step-by-step explanation:
-5x-5x-5x-5=625
what is 1x+3y=18 in slope intercept form
Answers
Answer:
y = -x/3 + 6
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Standard Form: x + 3y = 18
Step 2: Rewrite
Find slope-intercept form
Subtract x on both sides: 3y = -x + 18Divide 3 on both sides: y = -x/3 + 6Answer:
y=-3x+6
Step-by-step explanation:
slope int. form is y=mx+b
want to get y by itself, so subtract 1x
so you are left with 3y=-1x+18
then divide 3
left with y=-1/3x+6
simplified is y=-3x+6
Help me I need this quick
Answers
Answer:
I think 3,9, and 15
Step-by-step explanation:
In this picture B and Fare
midpoints.
A
B
5x - 4
23
F
E
x=[ ? ]
Answers
Answer:
10
Step-by-step explanation:
In triangle ACE, B and F are mid points of sides CA and CE respectively.
Therefore, BF is the mid segment of triangle ACE.
By Mid-segment formula:
AE =2BF
5x - 4 =2*23
5x - 4 = 46
5x = 46+4
5x = 50
x = 50/5
x = 10
An angle is 58º less than its supplement. What is the measure of the angle?
Answers
Answer:
i think it is 122 degrees, as the solution would be to subtract 58 from 180
Step-by-step explanation:
180-58=122
angle1 = x
angle2 = x - 58
given,
these are supplementary angles
Therefore,
(x) + (x - 58) = 180
x + x - 58 = 180
2x - 58 = 180
2x = 180 + 58
2x = 238
x = 238/2
x = 119
angle1 = 119
angle1 = 119angle2 = 61
Suppose that point R is the center of a circle that is circumscribed about an equilateral Triangle ABC,and points M,P,and Q are midpoints of the sides of ABC. Part A: Prove that RM=RP=RQ
Answers
Answer:
Solution in image
Step-by-step explanation:
What percent is represented by the shaded area?
The tape diagram below represents 100%, percent.
Answers
2. Mrs. Ellison brought 30 cookies to the school picnic last year. This year she brought 45
cookies. What was the percent of change?
Answers
Answer:
15%
Step-by-step explanation:
45 - 30 = 15
Answer - 15%