an open tank has tge shape of circular cone. the tank is 8feet across the top and 6 feet high. watwr is pumped through the buttom of the tank. how much work is done to fill the tank from a depth of 4 feet to a depth of 6 feet? water weighs 62.4 pounds per cubic foot
Answer:
[tex]W=22652.98ft-lb[/tex]
Step-by-step explanation:
We are given that
Height of tank=6feet
Diameter of tank=8 feet
Radius of cone,r=d/2=8/2=4 feet
Let a layer of thickness dy at distance yr from the bottom at origin
y=6 feet
Using similar triangle property
[tex]\frac{r}{y}=\frac{4}{6}=\frac{2}{3}[/tex]
[tex]r=\frac{2}{3}y[/tex]
Weight of water=62.4 pounds per cubic foot
Now,
Weight of layer=[tex]62.4\times \pi r^2 h=62.4(\frac{4}{9}\pi y^2 dy[/tex]
Now, work done to fill the tank from a depth of 4 feet to a depth of 6 feet is given by
[tex]W=\int_{a}^{b}62.4\times \frac{4}{9}\pi y^2(y) dy=\int_{4}^{6}62.4\times \frac{4}{9}\pi y^3 dy[/tex]
[tex]W=\frac{62.4\times 4\pi}{9}[\frac{y^4}{4}]^{6}_{4}[/tex]
[tex]W=\frac{249.6\pi}{36}(6^4-4^4)[/tex]
[tex]W=22652.98ft-lb[/tex]
Question:
x = __ degrees
Answer:
80°
Step-by-step explanation:
Because a straight line always is equal to 180°
so 180 - 100 = 80
Your answer is 80.
Pls consider marking my answer as Brainliest! It would mean a lot!
B is between A and C. AB = 5 and AC = 8. What is the length of BC
Answer:
BC = 3
Step-by-step explanation:
If you picture A, B, and C on a line, the first part of the line, AB, has a length of 5 and the total line, AC, has a length of 8 . Means that the second part of the line, BC, has a length of 3 because you would add the length of both the first and second part of the line in order to get the total length of the line.
AB + BC = AC
5 + BC = 8
BC = 3
Write the ratio 26 to 24 as a fraction in simplest form.
Answer:
13:2
Step-by-step explanation:
26 to 24 = 26/24 can further be simplified to 13/12
13/12 = 13:12
Plz mark as brainliest, I am close to expert.
general admission to the fair is 10.00. each ride costs 4.75. if lisa has 75.00 to spend at the fair, what method can be used to find out how many rides she can go on
Answer:
well the answer is 13
Step-by-step explanation:
The way you can figure this out is subtract 10 from 75 to get 65 and then you divide 65 by 4.75 to get 13 with a huge decimal but you just have 13 because you cant go for part of a ride.
PLEASE PUT BRAINLIEST.
Answer:
14
Step-by-step explanation:
75.00-10=65
65 divide 4.50=14
4. These two triangles are scaled copies of one another. The area of the smaller triangle
is 9 square units. What is the area of the larger triangle? Explain or show how you
know.
Answer:the larger triangle could be any number more than 9 square units.so, for example, ten units is the least, and infinity is the max!
Step-by-step explanation:
Find the product, using suitable properties:
437 * (-45) + (- 437) × 55
Can the union of two sets have a solution of a null set? Why or why not?
Answer:
Yes, the union of two sets have a solution of a null set.
Step-by-step explanation:
Which ordered pair is a solution to the equation? y - 6 = 7(x - 4) Recall (x, y)
Answer:
Your answer is neither
Step-by-step explanation:
Answer:
The last one: Neither
Step-by-step explanation:
Khan
There is no options to choose from and I need to find slope help due today
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
To find the slope we need two points.
A = ( -2 , 5 ) & B = ( 0 , 2 ) & C = ( 2 , -1 )
I choose A and B .
_________________________________
We have following equation to find the slope using two points.
[tex]slope= \frac{y(B) - y(A)}{x(B) - x(A)} \\ [/tex]
Now just need to put the coordinates in the above equation.
Let's do it...
[tex]slope = \frac{2 - 5}{0 - ( - 2)} \\ [/tex]
[tex]slope = \frac{ - 3}{2} \\ [/tex]
[tex]slope = - \frac{3}{2} \\ [/tex]
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I suggest to find the slope using A , C
and B , C to can understand exactly what did I do buddy.
Good luck ♥️♥️♥️♥️♥️
how to simplify this
[tex] {4x}^{ 3} \times {2x}^{3} [/tex]
8X^6
4*2=8
X^3*X^3 = added the cubes
X^6 is the result
8X^6 is the answer
Twice the difference of a number and 7 is at least 18
Answer: n=16
Step-by-step explanation:2(n-7) = 18
n - 7 = 9
+7 +7
Answer:
2(x-7) ≥ 18
2x - 7 ≥ 18
+7 +7
2x ≥ 25
2 2
x ≥ 12.5
Check
2((12.5) -7) ≥ 18
2(5.5) ≥ 18
11 ≥ 18
I think this works
The last awsner choice is 3/21 thank u pls pls I’ll give u brainliest
Answer:
question 10 answer I think is 4/147
Step-by-step explanation:
I did this
3/21 X 2/21 = 4/147
don't remember if that's the procedure but wish you luck
What is the y-intercept of y = 2x + 5
Answer:
5
Step-by-step explanation:
If martha is walking 9meters south and turns and walks 10meters west how far is she from her starting point?
Answer:
She is 13.45 meters from her starting point.
Step-by-step explanation:
Use Pythagorean Theorem (a^2+b^2=c^2) so 9^2+10^2=c^2. Solve it algebraically and you get c= 13.45 (rounded to nearest hundredth).
will give brainliest ! 15 points please help <3
Answer:
1. C
2. G, H
3. A, H
4. x=-4.5
5. B, D, F, G
Step-by-step explanation:
pls Mark Brainliest
describe the rate of change by this graph
Answer:
hey! I think you forgot to upload the graph xD
Step-by-step explanation:
or I can't see it but I'm very sure you didn't upload it
If one Chinese yaun equals 13.2455 Japanese yen then one Japanese yen equals approximately how many Chinese yuan
Answer:
0.755 Yuan
Step-by-step explanation:
You already know it's going to be less than 1 since 1 yuan is 13.2455 yen.
Chinese Yaun : Japanese Yen
1 : 13.2455
divide both by 13.2455 to work out 1 Japanese Yen
0.0755 : 1
Multiply both 10
0.755: 10
Order these in descending order (greatest to least). 3/20, 0.15%, 0.015
Answer:
3/20, 0.015, 0.15%
Step-by-step explanation:
A painting was sold for 179.4 million dollars, Write this amount in scientific notation
Answer:
[tex]1.794 \times {10}^{2} [/tex]
(in scientific notation)
Hi can someone please help me with this question
Answer:
-5
Step-by-step explanation:
-8-(-3) = -8+3
-8+3 = -5
At a construction job for a mall there are 40 painters. Of these painters, 34 of them are painting the interior of the mall. What percent of these painters are painting the interior
Answer:
85%
Step-by-step explanation:
34/40 = 0.85 = 85%
486 inches 162 inches 4 1/2 yards ?
Answer:
486 inches is 13.5 yards and 162 inches is 4.5 yards please mark brainlist thank you
6. You bought the meat for Saturday's cookout. A package of hot dogs cost $1.60 and a
package of hamburger cost $5. You bought a total of 8 packages of meat and you spent $23.
How many packages of hamburger meat did you buy?
A lot
Step-by-step explanation:
Employees of a painting service paint the interior walls of homes and office buildings. The following table shows the number of cans of paint the employees use, and the number of square feet they cover. which equation describes the relationship between the number of cans of paint used, and the number of square feet that are covered?
Answer:
Can you give the chart?
Step-by-step explanation:
Answer:
Y=375x
Step-by-step explanation:
Thats it
Millie budgeted $647.50 and spent $671.92. How much more or less did she spend?
a
$24.42 less
b
$24.42 more
C
$1319.42 less
Od
$1319.42 more
Answer:
B
Step-by-step explanation:
If you take 647.50 and subtract it by 671.92 which gives you -24.42 but just take away the negative sign
A phone manufacturer is determining a price for its product using a cost-based pricing strategy. The fixed costs are $100,000, and the variable costs are $50,000. If 1,000 units are produced and the company wants to have a 30 percent markup, what is the price of the phone? (show work)
Answer:
b
Step-by-step explanation:
Cruz 500 ehjsjshxhu 728w
Answer:
dont even know ghnbbjuh
Greta can bike 6 miles in 30 minutes. At that rate, how many miles can she bike in 45 minutes?
Answer: 9 miles
Step-by-step explanation:30 divided by 6 is 5. So the was biking 1 mile every 5 minutes. 45 divided by 5 is 9.
Feet up a ratio for miles over time:
6/30 = x/45
Cross multiply:
30x = 270
Divide both sides by 30:
X = 270/30
X = 9 miles
pls do this i’ll give brainliest!!
Answer:
7. move to the right by 4 units and down by 5 units
8. just rotate it to the left side (180 degrees is a flat line in the opposite direction)
9. reflection is pretty easy, just pretend you are folding your paper in half. so just redraw it on the other side in the opposite direction (fold paper sideways)
Step-by-step explanation:
Someone answer number 10.(Both parts please.)