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]
2.
A line goes through the points (0, 10) and (-1, 1).
2a
What is the slope of the line?
Answer:
9
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 1 -10)/(-1 -0)
= -9/-1
= 9
Answer:
9
Step-by-step explanation:
1 - 10 / -1 +0 = -9 / -1 = 9
1 If f(x) = x - x9, what is the value of f(2)?
Can any1 help me with this question please
enrico is laying 1-ft tiles ok a square bathroom floor. if he needs 81 tiles to cover the floor, how many tiles run along each wall?
Answer:
9
Step-by-step explanation:
you would need to find the square root of the total amount of tiles. luckily 81 is a square number meaning the answer is each side is 9 tiles long.
Use the slope formula to determine the slope of the line.
(6,7) (9,9)
Answer:
2/3
Step-by-step explanation:
y2-y1/x2-x1
9-7/9-6
2/3
I need help with this problem (THIS IS NOT FROM A TEST)
Answer:
44.5 degrees.
Step-by-step explanation:
Since these triangles are congruent, their angles are the same.
Therefore, we can set an equation with the 2 labeled angles (which are angles C and F):
2.5x+8=3.5x-7
8=x-7
x=15
We can plug 15 back into one of the equations:
2.5(15)+8 = 45.5
This means angle F is 45.5.
To find out the measure of angle E, recall the fact that the angles in a triangle add up to 180. Since this is a right triangle, and F = 45.5, we can set up an equation and solve for x:
90 + 45.5 + x = 180
135.5 + x = 180
x = 44.5
Therefore, the angle E is 44.5 degrees.
Answer:
44.5
Step-by-step explanation:
These triangles are the same so we know that
2.5x + 8 = 3.5x - 7
Subtract 2.5 x from both sides
8 = x - 7
Add 7 to both sides
15 = x
Substitute x
37.5 +8
45.5
There is a right angle so we must add 45.5 + 90 to get 135.5
Subtract 135.5 from 180 to get
44.5
ignore the black words on the bottom but i’ll be giving brainliest!
Answer:
2. the figure has rotatinal symetry
Step-by-step explanation:
Answer:
1. x = 4; y = 7
2. rotational symmetry.
3. No. 360°÷ 50° is not a whole number, so the points will not be evenly spaced all the way around the center.
Step-by-step explanation:
hi again ♡
The order in which you multiply inverse matrices is not relevant.
True
False
need help rn will give brainlyest if correct answer with explaining
unit ratio
Answer:
1. 2 eggs per person 2. 3 dollars for each pound 3. 5 pages each day
Step-by-step explanation:
hope this helps .
A student missed 51 problems on a history test and received a grade of 4%. If all the problems were of equal value, how many problems were on the test? Follow the problem-solving process and round your answer to the nearest integer.
fully reduce 18/10 plz i need help
Answer:
9/5
Step-by-step explanation:
Generally accepted accounting principles require companies to use only one factor overhead rate for product costing True or False?
Answer:
i think its false :>
Step-by-step explanation:
PLS HELP ASAP
Write a word problem that can be represented by the expression 5/6 divided by 1/3.
Answer:
I have 5/6 of a candy bad and I want to give each of my 3 friends some. How much would each friend get?
Step-by-step explanation:
The word problem that can be represented by the expression 5/6 divided by 1/3 is "There are a total of 5/6 chocolates. Divide these chocolates such that each person will get 1/3 part of that".
Given :
The expression 5/6 is divided by 1/3.
The following steps can be used in order to determine the word problem that can be represented by the expression 5/6 divided by 1/3:
Step 1 - The knowledge of arithmetic operations can be used in order to determine the word problem that can be represented by the expression 5/6 divided by 1/3.
Step 2 - There are a total of 5/6 chocolates. Divide these chocolates such that each person will get 1/3 part of that.
Step 3 - Solve the above problem by dividing 5/6 by 1/3.
[tex]= \dfrac{5\times 3}{6\times 1}[/tex]
= 2.5
For more information, refer to the link given below:
https://brainly.com/question/25834626
The length of a quarter is 0.955 inch. Round the length of a quarter to the nearest tenth of an inch
Answer:
the answer to the question is 0.96.
Answer:
1 inch
Step-by-step explanation:
the 9 is in the tenths place. 5 or more you need to round up.
A local farm has a 0.5 acre field that was planted with 26,100 corn plants. One acre is equivalent to 43,500 square feet. Assuming the same planting density, how many corn plants could they plant on a field with an acre of 80,000 square feet
Answer:
96000 corn
Step-by-step explanation:
80,000/43500 = 1.84
1.84/0.5 = 3.678
3.678 x 26100 = 96000
-3 times (7+(-3) to the second power) divided by 3
Answer:
-18
Step-by-step explanation:
Which graph models a relationship with the same unit rate ?
kendsgkjdbgfz
Step-by-step explanation:
Which of the following statement is false? 8 < 8 2>8 2<8 2<8 2<8
Answer:
8<8
2>8
Step-by-step explanation:
yw:))
hellllllllllllllllllp
Answer:
Step-by-step explanation:
Its b
Answer:
D
Step-by-step explanation: common sence because when it 5 and the little 2
would be 5 times 5 BUT 5 and the little 4 would be 5 times 5 times 5 times 5 so which if you add those u get 5 times etc u get the point
Find the domain for f(x) = 2x + 9
Answer:9
Step-by-step explanation:Set x to 0 and the answer is 9
Look at the figure. If ∆LMC ≅ ∆BJK, then _____ ≅ ∆KB
A. BJ
B. CM
C. ML
D. CL
If ∆LMC ≅ ∆BJK, then ∆CL ≅ ∆KB. so the correct option is D.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
We have been given that ∆LMC ≅ ∆BJK.
The image of the triangles are attached below;
The triangle are congruent to each other so,
∆LMC ≅ ∆BJK
∆LM ≅ ∆BJ
∆LC ≅ ∆BK
∆MC ≅ ∆JK
Thus, ∆LC ≅ ∆BK so the correct option is D.
Learn more about congruent triangles;
https://brainly.com/question/12413243
#SPJ2
Asppppp help Im taking a quixxxx
Answer: a, b, d
Step-by-step explanation: don’t count me on it
Answer:
B, D
Step-by-step explanation:
just find the common denominator and see if it works
1.Solve: 12 2
Its urgent need these answered, please
Answer:
K must be greater than 5
G must be less than 4
Step-by-step explanation:
2,9,23,51,107
Determine the next terms of sequence
Answer:
answer is 142
Step-by-step explanation:
C is the circumcenter of PQR
PC=3x+7, RC=5x-15 and QC=51-x.
what does RC equal?
Answer:
[tex] RC = 40 [/tex]
Step-by-step explanation:
Given:
PC = 3x + 7,
RC = 5x - 15,
QC = 51 - x.
Required:
measure of RC
SOLUTION:
Given that C is the circumcenter of ∆PQR, therefore, vertices P, Q, and R are equidistant from C.
So therefore,
[tex] PC = RC = QC [/tex]
Let's find the value of x using:
[tex] PC = RC [/tex]
[tex] 3x + 7 = 5x - 15 [/tex] (substitution)
Collect like terms
[tex] 3x - 5x = -7 - 15 [/tex]
[tex] -2x = -22 [/tex]
Divide both sides by -2
[tex] x = \frac{-22}{-2} [/tex]
[tex] x = 11 [/tex]
Find the measure of RC
[tex] RC = 5x - 15 [/tex]
substitute x = 11 into the equation
[tex] RC = 5(11) - 15 [/tex]
[tex] RC = 55 - 15 [/tex]
[tex] RC = 40 [/tex]
Answer:
40
Step-by-step explanation:
How do i graph y=4x + 5
Answer:
it would look like the picture below
Step-by-step explanation:
What is the range of 12,20,18,25,6
Answer:
19
Step-by-step explanation:
The range is the difference between the biggest number and the smallest number
Let's put these numbers in order:
25,20,18,12,6
The biggest number is 25, the smallest number is 6
25-6=?
19
What is the value of -8(17-12)/-2(8-(-2))
Answer:
it's 2 got it right on edg
Step-by-step explanation:
need help..................
Answer:
The answer is D
Step-by-step explanation:
(4x6)^3
(24)^3=13,824
when you multiply 4^3 with 6^3 you get the same answer of 13,824
Answer:
Answer=D
Step-by-step explanation:
(for powers outside a bracket it splits in the numbers inside the bracket)
(4×6)^3
=([tex]4^{3}[/tex]×[tex]6^{3}[/tex]) as in D
To proof
-if we multiply them first we will get 24 and that to the power of three will equal to 13824.
-if we did as in the answer so,
[tex]4^{3}[/tex]×[tex]6^{3}[/tex]
=64×216
=13824
they are equal to each other 13824=13824 so answer D is correct.
Students in grades 7 and 8 were asked which food they liked the best. The results are shown in the table. What percentage of all students prefer hotdog
Answer:
Where's the table?
Step-by-step explanation:
Answer:
55%
Step-by-step explanation:
Solve for x 2(-4x+2)=28
Answer:
x=-3
Step-by-step explanation:
Divide both sides by 2, so -4x+2=14
Subtract 2 from both sides, -4x=12
Divide both sides by -4, so x=-3
Answer:
4x2 = 28
Step-by-step explanation: