An iron pillar has some part in the form of a right circular cylinder and remaining in the form of a right circular cone. The radius of the base of each of cone and cylinder is 8 cm. The cylinderical part is 240 cm high and the conical part in 36 cm high. Find the weight of the pillar if one cu. cm of iron weighs 7.8 grams.
Answers
Solution
The iron pillar should look like this
The volume of the cylindrical part = πr²h
\(V=\pi r^2h=\frac{22}{7}\times8\times240=\frac{337920}{7}\text{ cm}^3\)The volume of the conical part = 1/3 x base area x height
\(V_{Cone}=\frac{1}{3}\times\frac{22}{7}\times8^2\times36=\frac{16896}{7}\text{ cm}^2\)Therefore, Total volume
\(TV=V+V_{Cone}=\frac{337920}{7}+\frac{16896}{7}=50688\text{ cm}^2\)Mass = Density x Volume
= 7.8 x 50688
= 395366.4 g
= 395.3664 kg
Weight = 395.3664 x 10 = 3953.664 N
Related Questions
An athlete eats 0.35 of protein per week while training. How much protein will she eat during 6 weeks of training?
Answers
Answer: 0.35
Step-by-step explanation:
Times 7 = 2. 45kg
Find the derivatives of the following using increment method.1. y= 4x - 12
Answers
Given:
y= 4x - 12
Required:
Find the derivatives of the following using increment method.
Explanation:
x=4y-12
just simply switchx and y is the inverse
Required answer:
x=4y-12
Translate into an equation: y is 37% of x.
Answers
Answer:
soln,
y=37/100×x
or, 100y=37x.....is the answer
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The equation of y is 37% of x is
y = 0.37x
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
2 + 3 - 4 is an expression.
2x4 + 4x = 4 is an expression.
We have,
y is 37% of x.
This can be written as,
y = 37/100 of x
y = 0.37x
Thus,
The equation of y is 37% of x is
y = 0.37x
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if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
is this statement true or false? pls help image attached
Answers
Only counter example is 9
3,5,7,11,13 are all prime
HELP PLSSSS OMG Round answer to nearest tenth too I KEPT GETTING I WRONG
Answers
Answer: where is the picture?
Write an equation
of the line with a slope
Of 4 that passes through
the point (-2, 1) in point slope
Form
Answers
y-1=4x+8
Is this what you wanted ?
9. Kyoko plans to put a new wood floor in her den, which is shown in the floor plan.
a. What is the area of the floor?
b. At a cost of $11 per square foot, how much will it
cost to put down the new floor?
c. Kyoko plans to put a rectangular area rug in the
room. The rug will be large enough so that only
a 2-foot wide section of the wood floor will be
exposed on each side. Find the dimensions of the
area rug.
d. What is the area of the area rug?
Den
17 ft x 14.5 ft
e. Find the area of the wood floor that will be exposed once the area rug is laid down.
Answers
a.) The area of the floor = 246.5ft²
b.) The amount that it will cost to put down the new floor would be = $2,711.5
C.) The new dimensions of the area rug would be= Length= 21ft, width = 18.5 ft.
d.) The area of the area rug would be = 388.5ft²
How to calculate the area of the floor?For question a.)
The floor has a rectangular shape. The area of a rectangle = length×width
area of the floor= 17×14.5
= 246.5ft²
For question b.)
For a square foot(1ft²) = $11
246.5ft² = 246.5×11 = $2,711.5
For question c.)
Since the rug will be extended by 2ft at each side, the new dimensions would be:
length = 2+2+17 = 21ft
width = 2+2+14.5 = 18.5ft
For question d.)
The area of the floor with the new dimensions = 21×18.5 = 388.5ft²
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which equation is equivalent?
Answers
Answer:
C
Step-by-step explanation:
3*2x=6x
3*-4=-12
4x+6x=10x
A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 13.2 inches and standard deviation of 2.3 inches. If a sample of 37 items are chosen at random, what is the probability the sample's mean length is greater than 12.1 inches? Round answer to four decimal places.
Answers
The probability that the sample's mean length is greater than 6.3 inches is0.8446.
Here, we have,
Given mean of 6.5 inches, standard deviation of 0.5 inches and sample size of 46.
We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.
Probability is the likeliness of happening an event.
It lies between 0 and 1.
Probability is the number of items divided by the total number of items.
We have to use z statistic in this question because the sample size is greater than 30.
μ=6.5
σ=0.5
n=46
z=X-μ/σ
where μ is mean and
σ is standard deviation.
First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.
z=6.3-6.5/0.5
=-0.2/0.5
=-0.4
p value from z table is 0.3446
Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.
Hence the probability that the mean length is greater than 6.3 inches is 0.8446.
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If a binary logistic regression has a pseudo R-Square (L) of 60%, then a) the model is better than another logistic regression with a R-square (CS) of 50%. b) 60% of the variation in the data can be explained by the logistic regression c) Other types of pseudo R-squares may be greater or less than 60% with the same logistic regression model. d) the model is better than another multiple linear regression model with an R- square of 55%.
Answers
The correct answer is c) Other types of pseudo R-squares may be greater or less than 60% with the same logistic regression model.
Pseudo R-squares, such as the one used in logistic regression, are measures of how well the model fits the data, but they cannot be directly compared to R-squared values from other types of regression models. Therefore, we cannot conclude that the logistic regression model with a pseudo R-Square of 60% is better than another logistic regression with an R-square (CS) of 50% or a multiple linear regression model with an R-square of 55%. However, we can say that 60% of the variation in the data can be explained by the logistic regression model, based on its pseudo R-Square value.
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A boy walks 5km due north and then 4km due east. Find the bearing of his current position from the starting point, how far is the boy now from the starting point
Answers
QRST is an isosceles trapezoid and m
Answers
Answer:
B. \( \huge \red {\boxed { 64\degree}} \)
Step-by-step explanation:
QRST is an isosceles trapezoid (Given)Measures of base angles of an isosceles trapezoid are equal. RS || QT and, ST and RQ are transversals.\( \therefore m\angle S = m\angle R\)
\( \because m\angle R= 116\degree \)
\( \therefore m\angle S= 116\degree \)
\( m\angle S + m\angle T = 180\degree \)
(angles on the same side of transversal)
\( 116\degree + m\angle T = 180\degree \)
\( m\angle T = 180\degree - 116\degree \)
\( \huge \purple {\boxed {m\angle T = 64\degree}} \)
Please look at the photo. Thank you.
Answers
a) A function that gives the area of the playground (in square meters) in terms of x is A(x) = 60x - x².
b) The side length that gives the maximum area that the playground can have is x = 30 m.
c) The maximum area that the playground can have is 900 m².
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths, we have:
120 = 2(x + W)
60 = x + W
W = 60 - x
Therefore, the area of the rectangular playground (in terms of x) is given by this function;
A = LW
A(x) = x(60 - x)
A(x) = 60x - x²
Part b.
For the side length, we would take the first derivative of the area:
A(x) = 60x - x²
A'(x) = dA/dx
A'(x) = 60 - 2x
60 - 2x = 0
x = 60/2
x = 30 m
Part c.
W = 60 - x
W = 60 - 30
W = 30 m.
Therefore, the maximum area is given by;
A = 30 × 30
A = 900 m².
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1) Determine the slope, y-intercept AND the equation of the line.
Answers
Answer:
slope = 1
y intercept = 1
x intercept = 1
equation of line = x + y =1
Step-by-step explanation:
The equation of line is:
(x/a) + (y/b) =1
here: a=1 and b=1
so putting the value, we get: slope = 1
y intercept = 1
x intercept = 1
equation of line = x + y =1
Answer:
y=x+2
Step-by-step explanation:
gradient is 1
y intercept is 2
7/4 x 16/5 as a inproper fraction if posibble
Answers
Answer:
28/5
Step-by-step explanation:
Un hombre posee 50 acciones con un valor de 30 cada una , la corporación declaró un dividendo del 6% pagadero en acciones ¿cuantas acciones poseía entonces?
Answers
el hombre tenía 50 acciones.
La pregunta es, ¿cuántas acciones poseía el hombre si declararon un dividendo del 6% pagadero en acciones y tenía 50 acciones con un valor de $30 cada una?Para calcular cuántas acciones tenía el hombre,
se puede utilizar la siguiente fórmula:Dividendos = Número de acciones * Precio por acción * Tasa de dividendosDe esta fórmula,
podemos despejar el número de acciones. Así, tenemos:Número de acciones = Dividendos / (Precio por acción * Tasa de dividendos)De los datos del problema, se sabe que el hombre tenía 50 acciones con un valor de $30 cada una.
Además, la corporación declaró un dividendo del 6% pagadero en acciones. Por lo tanto, la tasa de dividendos es del 6%.Para resolver el problema, primero debemos calcular el valor del dividendo que se pagará en acciones.
Para ello, se debe multiplicar el valor de las acciones del hombre por la tasa de dividendos.
Así, tenemos:Valor del dividendo = 50 acciones * $30 * 0.06 = $90El valor del dividendo es de $90. Ahora, podemos sustituir este valor en la fórmula para calcular el número de acciones que tenía el hombre.
Así, tenemos:Número de acciones = $90 / ($30 * 0.06) = 50 accionesPor lo tanto,
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The minimum number of parallel faces that a prism should have is
Answers
Answer:
The minimum number of parallel faces that a prism should have is three pairs
Answer:
The minimum number of parallel faces that a prism should have is three faces
If the the price of a pair of shoes is 35$ before tax and the tax is 20% what will the final price of the shoes be
Answers
Answer:
$42
Step-by-step explanation:
You want the price with tax of a $35 pair of shoes subject to a 20% tax.
Price with taxThe tax is the cost of the shoes multiplied by the tax rate. The final price is the sum of the cost of the shoes and the tax:
final price = price + price × tax rate
final price = price × (1 + tax rate) = $35 × 1.20 = $42
The final price of the shoes is $42.
Answer:
42$
Step-by-step explanation:
tax increase will be
20% of 35$
= 20/100 × 35
= 7$
Final price = Old price + Tax
= 35 + 7
= 42$
An educational researcher devised a wooden toy assembly project to test learning in 6-year-olds. The time in seconds to assemble the project was noted, and the toy was disassembled out of the child's sight. Then the child was given the task to repeat. The researcher would conclude that learning occurred if the mean of the second assembly times was less than the mean of the first assembly times.
Find the 99% confidence interval for the difference in means.
Child
2
3
4
Trial 1
108 140
154
115
Trial 2
99
118 154
96
5
130
108
107
102
110
0 0.7
0-07<4-4 < 23.5
0-29
O 29
Answers
The differences are: -9, 22, 0, -19, -105, 24, -46, -8, -5, -8, -8
The mean of the differences is: -9.5
The standard deviation of the differences is: 38.3
To calculate the 99% confidence interval, we use the formula:
(mean difference) +/- (t-value) * (standard deviation of differences / square root of sample size)
The sample size is 11, so the degrees of freedom are 10. Using a t-table with 10 degrees of freedom and a 99% confidence level, we find the t-value to be 3.169.
Plugging in the values, we get:
-9.5 +/- 3.169 * (38.3 / sqrt(11))
Which simplifies to:
-9.5 +/- 23.5
Therefore, the 99% confidence interval for the difference in means is (-33, 14).
Find m
A)36
B)80
C)56
D)44
E)124
Answers
Answer:
44
Step-by-step explanation:
vertical angles
A certain first covers an area of 4100 km^2. Each year this area decreases by 3.75 percent. What will the area be after 11 years?
Answers
The formula to use is
A = P(1+r)^t
where,
A = final amount after t years
P = initial amount = 4100
r = rate of increase or decay = -3.75% = -3.75/100 = -0.0375
t = number of years = 11
The value of r is negative to indicate exponential decay. Also notice that I divided by 100 to convert from -3.75% to -0.0375
Using those values, we plug them into the formula to get,
A = P(1+r)^t
A = 4100(1+(-0.0375))^11
A = 4100(1-0.0375)^11
A = 4100(0.9625)^11
A = 4100*0.65676215615721
A = 2692.72484024457
A = 2693
Rounding to the nearest whole number, the answer is approximately 2693 km^2.
\(\sqrt{x} 3500\)
Answers
Step-by-step explanation:
Download gauthmath it will help
![[tex]\sqrt{x} 3500[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/3FVQPBhbZN2X0hqbDqNiei92qfYhTaQZ.jpeg)
Regina has three number cubes. The faces of each number cube are numbered from 1 to 6. Regina will roll each number cube one time.
What is the probability that all three number cubes will land on an odd number?
Answers
The probability that all three number cubes will land on an odd number is 1/8
How to determine the probability?From the question, we have the following parameters that can be used in our computation:
Number of cubes = 3
Sections on each cube = 6
Odd sections on each cube = 3
This means that
P(Odd) = Odd sections/Total sections
So, we have the following representation
P(Odd) = 3/6
Simplify
P(Odd) = 1/2
For the three cubes, we have
P(All odd) = P(Odd)^Number of cubes
Substitute the known values in the above equation, so, we have the following representation
P(All odd) = (1/2)³
Evaluate
P(All odd) = 1/8
Hence, the probability is 1/8
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Answer: 1/8
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if you borrow $100 for 3 years at a annual interest rate 9% how much will you pay altogether ?
Answers
Answer:
$109
Step-by-step explanation:
Formulas
interest = (principal amount)(rate)(time)
interest = (100)(0.09)(3) = $27
total = principal amount + interest
total = 100 + 9 = $127
Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.
Answers
To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.
Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.
Using the law of sines, we can set up the following equation:
sin(50°) / 150 = sin(60°) / x
To solve for "x", we can rearrange the equation:
x = (150 * sin(60°)) / sin(50°)
Using a calculator, we can evaluate the expression:
x ≈ (150 * 0.866) / 0.766
x ≈ 168.4 ft
Therefore, the distance between Basti and Cian is approximately 168.4 ft.
Please help me understand this handwriting can some pls re write and label I DONT UNDERSTAND CURSIVE :(
Answers
Answer:
7:01
29%
Doyan of low
Shiman 1-R-1
Flous 1-1 Gambe 1-4-20
12 dual purpose
Martins 1-2-3 Flores 1-2, 1-3, 14
Gamba 2-1-5
Custand 1-4, 2-1
Conditions " humanitarian groups Salahiel 1-1-1, 1-1-2, 1-2-3 1-R-5, 2-L-2, 2-L-3, 2-14, 2-1-5, 2-RI
Flores 1-30
Munting 1-2-4
Gumbon 1-1-3 CDP 1-1-3
Status oppose ending 742 Montoya 1-1, 1-2, 1-3
federal courts challenge
Gamboa 1-R-2 Custom 1-7
CDP 1-L-36, 1-2-4
de Vogue 1-2-1, 2-1-5, 2-L-6
7 expulsions at boders
root causes textul Amer.
Cop 1-L-34, 1-1-2, 1-R-4
Border Report 1-2
CDP 1-R-2, 1-R-3 Montoya 1-8
Custarda 2-2
=
CLOSE
Hopes this helps :)
The value of k so that the equation
2x2 + (4- k)x - 17 = 0 has one root
equal but opposite in sign is
Answers
Answer:
4
Step-by-step explanation:
Given the equation :
2x²+ (4- k)x - 17 = 0
a = 2, c = - 17 b = (4 - k)
For the equation above to have one root; equal but opposite in sign
Then;
(ax + c) = 0 and b = 0
Since b = 0, the we can solve for k
b = 4 - k
b = 0
4 - k = 0
4 = k
There is a 5 by 5 square in the top right square is your home in the bottom left square is your school there are >100 ways and you can’t go through corners and the way Can only be 10 blocks no more or less
Answers
Answer:
there is a 5 by 5 square
Step-by-step explanation:
Answer:
In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equalStep-by-step explanation:
In each rule , copy the chart and fill in the missing parts
Answers
Answer:
7. 14
15. 30
28. 56
32. 64
18 36
x 2x
1/2y. y
2x. 4x
x+3 2x+9
Step-by-step explanation:
each out is double the in