A new experimental tank is in the shape of a cone, cylinder and sphere. All of the tanks have a volume of 10,000 cm3 . One condition to this tank is that the Radius should be 10 cm. Follow up the questions below based on this scenario.
Find the height of cylinder . Keep the answer in terms of π
Answers
Answer:
100/π cm
Step-by-step explanation:
Volume of a cylinder = πr²h
Volume = 10,000cm³
Radius = 10cm
The formula for the height of a cylinder is obtained as:
V = πr²h
h = V/ πr²
h = 10000 /π × 10²
h = 10000 /π × 100
h = 100/π cm
The height of the cylinder in terms of π = 100/π cm
Related Questions
Help me please I have an f in this class I will give you 44 points
Answers
8 x 7s = 56s
8 x (-2) = -16
so 8(7s - 2) = 56s - 16
which expression is a fourth root of -1 + i√3?
Answers
Answer:
−1+1.732051i
Step-by-step explanation:
HELP PLEASEE
I’m stuck
Answers
Answer:
:-):-)
Step-by-step explanation:
1) p<1000
2)p>500
3)By combining the above two, we get: 500<p<1000
Andre will agree as he thinks that the no. of paper clips in the box is less than 1000. But lin will not as she thinks that the no. of clips is more than 500.
4)This time, they both will agree as the no. of paper clips is more than 500 but less than 1000.
So that means, the answer is p < 1000
For number 2, it’s asking for the same thing. Lin says that it needs to be more than 500.
So that means, the answer is p > 500
For number 3, it’s just asking you if the number “487” is reasonable. You find that by plugging in the number 487 into “p”.
Is 487 < 1000 correct? Yes!
Is 487 > 500 correct? NO!
So that means for number three, you should put, “Lin and Andre would not agree. This is because the number 487 fits with Andre’s statement, but it does not fit with Lin’s. 487 is less than 1000, but it is not greater than 500.”
For number 4, you do the same thing. Plug in 742 into “p”.
Is 742 < 1000? Yes!
Is 742 > 1000? Yes!
So that means for number 4, you should put, “Lin and Andre would agree. This is because the number 742 fits with Andre’s and Lin’s statement. 742 is less than 1000, and it is greater than 500.”
What is -3/5 multiplied by 4/7?
Pls show answer with step by step answers explained pls
Answers
Answer:
-12/35
Step-by-step explanation:
-3×4/5×7
-12/35
Stonewall receives ¢250 per year in simple interest from an amount of money he invested in
ADB, Barclays and GCB. Suppose ADB pays an interest of 2%, Barclays pays an interest of
4% and GCB pays an interest of 5% per annum and an amount of ¢350 more was invested in
Barclays than the amount invested in ADB and GCB combined. Also, the amount invested in
Barclays is 2 times the amount invested in GCB.
a) Write down the three linear equations and represent them in the matrix form AX = B.
b) Find the amount of money Stonewall invested in ADB, Barclays and GCB using Matrix
Inversion
Answers
Answer:
The amount invested in ADB is ¢1363.[tex]\overline 3[/tex] =
The amount invested in Barclays is ¢3,427.[tex]\overline 3[/tex]
The amount invested in GCB is ¢1,713.[tex]\overline 3[/tex]
Step-by-step explanation:
The parameters of the investment Stonewall made are;
The amount in interest he receives from ADB, Barclays and GCB = ¢250
The amount of interest ADP pays = 2% per annum
The amount of interest Barclays pays = 4% per annum
The amount of interest GCB pays = 5% per annum
The amount invested in Barclays = The amount invested in ADB and GCB + ¢350
The amount invested in Barclays = 2 × The amount invested in GCB
a) Let 'x', represent the amount invested in ADB, 'y' represent the amount invested in Barclays, and 'z', represent the amount invested in GCB
We have;
y = x + z + 350
y = 2·z
0.02·x + 0.04·y + 0.05·z = 250
Therefore, we get the three linear equations as follows;
-x + y - z = 350...(1)
y - 2·z = 0...(2)
0.02·x + 0.04·y + 0.05·z = 250...(3)
Using Matrix inversion, we have;
[tex]\left[\begin{array}{ccc}-1&1&-1\\0&1&-2\\0.02&0.04&0.05\end{array}\right] \times \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}350&0&250\end{array}\right][/tex]
The transpose of the 3 by 3 matrix [tex]M^T[/tex] is given as follows;
[tex]M^T = \left[\begin{array}{ccc}-1&0&0.02\\1&1&0.04\\-1&-2&0.05\end{array}\right][/tex]
The Adjugate Matrix is given as follows;
[tex]Adj = \left[\begin{array}{ccc}0.13&-0.09&-1\\-0.04&-0.03&-2\\-0.02&0.06&-1\end{array}\right][/tex]
The inverse of the matrix = Adj/Det where, Det = -0.15, is therefore;
[tex]M^{-1} = \left[\begin{array}{ccc}\dfrac{-13}{15} &\dfrac{3}{5} &\dfrac{20}{3} \\\\\dfrac{4}{15} &\dfrac{1}{5} &\dfrac{40}{3} \\\\\dfrac{2}{15} &-\dfrac{2}{5} &\dfrac{20}{3} \end{array}\right][/tex]
We therefore, get the solution as follows;
[tex]\left[\begin{array}{ccc}\dfrac{-13}{15} &\dfrac{3}{5} &\dfrac{20}{3} \\\\\dfrac{4}{15} &\dfrac{1}{5} &\dfrac{40}{3} \\\\\dfrac{2}{15} &-\dfrac{2}{5} &\dfrac{20}{3} \end{array}\right]\times \left[\begin{array}{c}350&0&250\end{array}\right] = \left[\begin{array}{c}\dfrac{4,090}{3} \\&\dfrac{10,280}{3} \\ & \dfrac{5,140}{3} \end{array}\right][/tex]
[tex]\begin{array}{c}x = \dfrac{4,090}{3} \\&y = \dfrac{10,280}{3} \\ & z = \dfrac{5,140}{3} \end{array}[/tex]
The amount invested in ADB, x = ¢4,090/3 = ¢1363.[tex]\overline 3[/tex]
The amount invested in Barclays, y = ¢10,282/3 = ¢3,427.[tex]\overline 3[/tex]
The amount invested in GCB, z = ¢5,140/3 = ¢1,713.[tex]\overline 3[/tex]
Fill in the blank using a term found in the vocabulary list. The ratio of the value of a subtotal to the value of the total is called _________________.
Answers
Answer:
Relative frequency
Step-by-step explanation:
Plzzzzz I need help asap thank you
No links plzzzzz
Answers
Answer:
-1.4 ; -0.7 ; 0.003 ; 3% ; 0.3 ; 2/3 ; 7/8 ; 100/50
Step-by-step explanation:
0.003 ; -1.4 ; 100/50 = 2 ; 0.85 ; 2/3 = 0.67 ; 3% = 3/100 = 0.03 ; 7/8 = 0.875 ;
0.3 , -0.7
0.003 ; -1.4 ; 2 ; 0.85 ; 0.67 ; 0.03 ; 0.875 ; 0.3 ; -0.7
Least to greatest:
-1.4 ; - 0.7 ; 0.003 ; 0.03 ; 0.3 ; 0.67 ; 0.85 ;2
-1.4 ; -0.7 ; 0.003 ; 3% ; 0.3 ; 2/3 ; 7/8 ; 100/50
Negative numbers have least value.Then in decimal numbers, the number having the least value in tenth is the least
I need help pls is due today
Answers
Answer:
a) 1/2, 0.5, 50% b)3/4, 0.75, 75% c) 1/12, 0.08333, 8.333% d) 5/12, 41.6667%, 0.416
Step-by-step explanation:
Answer:
a] 1/2 b] 5/6 c] 1/6 d] 5/4
Step-by-step explanation:
no of even no present/total numbers and so on
try it later
A horse 64 feet from the center of a merry-go-round makes 27 revolutions. In order to travel the same distance, how many revolutions would a horse 16 feet from the center have to make?
Answers
What is the product of 2x + 3 and 4x^2 - 5x + 6
Answers
Answer:
8
x
3
+
2
x
2
−
3
x
+
18
Step-by-step explanation:
simply the answer thought bc i didn't simplify
A teacher is correcting a student's homework
assignment, but she cannot read one line of the
student's work. The student's work is shown
below, with a blank space representing the
missing line.
Step 1:
- 2x + 11 = -5
Step 2: -2x + 11 – 11 = -5 – 11
Step 3:
-2x = -16
Step 4:
Step 5:
1x = 8
Step 6:
x= 8
Which of the following represents the correct
Step 4 and the property that would be used to
justify the step?
Answers
Answer without Explanation:
B
Marcie Ann Weber, age 32, takes out $15,000 of a term insurance for a ten year term.
a. annual premium: $ a0
b. monthly premium: $ a1
Answers
Answer:
Step-by-step explanation:
a. annual premium: 79.35
b. monthly premium: 7.14
Marcie Ann Weber, age 32, takes out $15,000 of a term insurance for a ten-year term. Annual premium = $1,500 per year and monthly premium = $125 per month.
What is division?One type of operation is division in mathematics. In this procedure, the phrases or numbers are divided into the same number of components.
Given: Marcie Ann Weber,
insured amount of term insurance plan = $15,000.
Number of year = 10 year
To find the amount of annual premium:
Divide the total insured amount by number of years.
Annual premium = Insured amount of term insurance plan / Number of year
Annual premium = $15,000 / 10
Annual premium = $1,500 per year
To find the amount of monthly premium:
Monthly premium = Insured amount of term insurance plan / Number of month in 10 year
Monthly premium = 15,000 / (10 x 12)
Monthly premium = 15,000 / 120
Monthly premium = $125 per month.
Therefore, annual premium = $1,500 per year and monthly premium = $125 per month.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ5
During a professional baseball game, every
spectator placed his or her ticket stub into one of
several containers. After the game, the coach
chose twenty people to march in the victory
parade. What is the sample in this situation?
Answers
Answer:
20 people chosen to March
Step-by-step explanation:
The sample can be explained as a random subset of the population. It is a given number of draws or selection made usually at Random from the entire or larger population set. The sample is usually smaller Than the population and if done randomly will be representative of the population set. The entire spectator attending the baseball game is the population of interest while the 20 selected from the entire pool to March in the victory parade is the sample data obtained from the population set.
if u know what to do pls help
Answers
Answer:
6.2 miles
Step-by-step explanation:
10 kilometers=.62 miles
.62*10= 6.2 miles
The ratio of pears to green apples is 1:3 if there are 150 green apples how many pears are there
Answers
50. 150 divided by 3
Jennifer is buying party supplies. She is planning on buying twice as many balloons as noisemakers. The number of napkins Jennifer is planning on buying is one-quarter of the number of noisemakers. If Jennifer buys 65 items, how many noisemakers does Jennifer buy? Write and solve an equation using a variable for this problem. <3
Answers
what type of line is not a function
Answers
Answer:
A vertical line
Steves pattern: 4, 25, 130, 665. what is steves pattern?
Answers
Answer: (4+1)*5=25; (25+1)*5=130; (130+1)*5=655.
Step-by-step explanation:
PLEASE HELP ME OUT! QUICK POINTS FOR YOU!
All information needed can be found in the image below
Thank you in advance.
Answers
Answer:
circle area = 50.24 units²
Step-by-step explanation:
circle area = πr² = 3.14(4²) = 3.14(16) = 50.24 units²
(1/2)x x 3/43=
Pls im so close for finishing 20 POINTS
Answers
Answer:
It's 3[tex]x^{2}[/tex]/86
hope this helps:)
Which situation CANNOT be represented by this equation? 6−7=29 6 x - 7 = 29 CLEAR CHECK Joel earns $7 $ 7 per hour to mow his aunt's lawn. If he spends $6 $ 6 on gas, how many hours, x , will he need to mow to have $29 $ 29 left? Joel mows his aunt's lawn for $6 $ 6 per hour. If he spends $7 $ 7 on gas, how many hours, x , will he need to spend mowing the lawn to have $29 $ 29 left? Joel takes 6 6 hours to mow his aunt's lawn. If he spends $7 $ 7 on gas, how much does he get paid per hour, x , to mow the lawn and still have $29 $ 29 left?
Answers
Answer:
Joel earns $7 per hour to mow his aunt's lawn. If he spends $6 on gas, how many hours, x , will he need to mow to have $ 29 left?
Step-by-step explanation:
The given equation is :
6x - 7 = 29
It is given that total hours be = x
Joel earns $7 per hour, so the total earning of Joel in x hours is = $ 7x
He spends $6 on gas, so = 7x - 6
He is left with $ 29 after spending on gas.
Therefore, the equation becomes :
7x - 6 = 29
Clearly, it can be seen that in this case, the given situation cannot be represented by the given equation, i.e. 6x - 7 = 29.
The side of a square has the length (x-2), while a rectangle has a length of (x-3) and a width of (x+4). If the area of the rectangle is twice the area of the square, what is the sum of the possible values of x? I CAN'T ACCESS A FILE SO PLEASE JUST LOOK AT THE PICTURE YOURSELF, AND THEN TELL ME. THANKS!
Answers
Answer:
Sum = 4 + 5 = 9
Step-by-step explanation:
Equation
2*(x - 2)(x-2) = (x - 3)(x + 4)
Solution
2*(x^2 - 4x + 4) = x^2 + 4x - 3x - 12
2x^2 - 8x + 8 = x^2 +x - 12 Subtract the right side from the left
x^2 - 9x + 20 = 0
(x - 4)(x - 5) = 0
The possible values for x are
x - 4 = 0
x = 4
x - 5 = 0
x = 5
Check
(4 - 2)^2 = (4) = 4
(x - 3)(x + 4) = (4 - 3)(8) = 8
This checks
(5 - 2)^2 = 3^2 = 9
(5 - 3)(5 + 4) = 2 * 9 = 18
The regular price of a camera is $500. The camera is on sale for 25% off the regular price. What is the sale price of the camera in dollars and cents?
Answers
Answer:
375
Step-by-step explanation:
500-125(25% of 500)=375
1\ solve the system using elimination. 4x+5y=2 -2x+2y=8
Answers
One of the legs of a right triangle measures 8 cm and its hypotenuse measures 14 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answers
Answer:
about 11.5 cm.
Step-by-step explanation:
I know the measurement of the other leg is about 11.5 cm. I know because I used the Pythagorean theorem.
a^2+b^2=c^2.
"a" and "b" are the values of the legs of the triangle, while "c" is the measure of the hypotenuse. We know that 8cm is the measure of one of the legs, and 14 cm is a measure of the hypotenuse.
8^2+b^2=14^2 simplified: 64+b^2=196
Then, I subtracted 64 on both sides, so I would have "b" by itself.
b^2=132
Next, I found the square root of both b^2 and 132, so I would find the true value of "b."
b=11.4891252931
So, the measure of the other leg rounded to the nearest tenth is about 11.5.
Choose the correct classifacation of 4x^4-4x^3+10x^6
Answers
Answer:what’s classification
Step-by-step explanation:
find the LCM lowest common multiple and the HCF highest common factor of 40 and 56
Answers
Answer:
280 and 8
Step-by-step explanation:
the LCM is the lowest common multiple
the lowest multiple that can Divide 40 and 56 without a remainder = 280
the Hcf Is the highest common factor of 40 and 56
the highest number that can Divide both =8
HEY GUYS COULD YOU HELP ME WITH THESE TWO QUESTIONS!!! DON'T WORRY YOU'LL GET YOUR POINTS!!
Answers
Answer:
i am unsure
Step-by-step explanation:
I HEART POINTS
x-y=12
Substitute: x-(94-x)=12
Distribute: x-94+x=12
Simplify: 2x=106
Solve: x=53
Plug x back into equation
x-y=12
53-y=12
y=41
x= 53, y=41
Second Question:
8+x=y
x+y = 66
Substitute: x+8+x =66
Simplify: 2x+8 =66
Solve : x=29
Plug x back into equation
x+y=66
29+y=66
y = 37
x=29, y=37
Find ZUWT helpp plzz dont put links
Answers
Answer:
i can't see clear
the bearing of c from a is 210°
(i) find the bearing of B from A
(ii) find the bearing of A from B
if you could also solve the question above I'd be very grateful
I need it in at least 10 minutes so please answer it!! ♡♡
Answers
Answer:
(a) His speed when he runs from C to A is [tex]4.\overline {285714}[/tex] m/s
(i) The bearing of B from A is approximately 127.18°
(ii) The bearing of A from B is approximately 307.18°
Step-by-step explanation:
(a) The given parameters are;
The distance from A to B = 120 m
The speed with which Olay runs from A to B, v₁ = 4 m/s
The distance from B to C = 180 m
The speed with which Olay runs from B to C, v₂ = 3 m/s
The distance from C to A = 150 m
His average speed for the whole journey = 3.6 m/s
We find
The total distance of running from A back to A, d = 120 m + 180 m + 150 m = 450 m
The time it takes to run from A to B, t₁ = 120 m/(4m/s) = 30 seconds
The time it takes to run from B to C, t₂ = 180 m/(3m/s) = 60 seconds
Let t₃ represent the time it takes Olay to run from C to A
We have;
The total time it takes to run from A back to A = t₁ + t₂ + t₃
Therefore;
[tex]Average \ velocity = \dfrac{Total \ distance }{Total \ time} = \dfrac{d}{t_1 + t_2 + t_3}[/tex]
Substituting the known values for the average velocity, 'd', 't₁' and 't₂' gives;
[tex]Average \ velocity = 3.6 \, m/s = \dfrac{450 \, m}{30 \, s + 60 \, s + t_3}[/tex]
3.6 m/s × (30 s + 60 s + t₃) = 450 m
3.6 m/s × 30 s + 3.6 m/s × 60 s + 3.6 m/s × t₃ = 450 m
108 m + 216 m + 3.6 m/s × t₃ = 450 m
∴ 3.6 m/s × t₃ = 450 m - (108 m + 216 m) = 126 m
t₃ = 126 m/(3.6 m/s) = 35 s
The speed with which Olay runs from C to A, v₃ = Distance from C to A/t₃
The speed with which he runs from C to A = 150 m/(35 s) = 30/7 m/s =[tex]4.\overline {285714}[/tex] m/s
(i) The given bearing of C from A = 210°
By cosine rule, we have;
a² = b² + c² - 2·b·c·cos(A)
∴ cos(A) = (b² + c² - a²)/(2·b·c)
Where;
a = The distance from B to C = 180 m
b = The distance from C to A = 150 m
c = The distance from A to B = 120 m
We find;
cos(A) = (150² + 120² - 180²)/(2 × 150 × 120) = 0.125
A = arccos(0.125) ≈ 82.82°
The bearing of B from A ≈ 210° - 82.82° ≈ 127.18°
The bearing of B from A ≈ 127.18°
(ii) The angle, θ, formed by the path of the bearing of A from B is an alternate to the supplementary angle of the bearing of B from A
Therefore, we have;
θ ≈ 180°- 127.18° ≈ 52.82°
The bearing of A from B = The sum of angle at a point less θ
∴ The bearing of A from B = 360° - 52.82° ≈ 307.18°
The bearing of A from B ≈ 307.18°.
