A concrete drain is 10m long, with an outside diameter of 1m and an inside diameter of 0.8m. Determine the volume of the concrete required to make the drain, to the nearest tenth of a cubic metre
Answers
Answer: To calculate the volume of the concrete required to make the drain, we need to find the volume of the cylinder formed by the outside diameter of the drain and subtract the volume of the cylinder formed by the inside diameter of the drain.
The formula for the volume of a cylinder is:
V = πr^2h
where V is the volume, r is the radius of the base of the cylinder, and h is the height of the cylinder.
The radius of the base of the outside cylinder is 0.5m (the diameter of 1m divided by 2) and the height is 10m. The radius of the base of the inside cylinder is 0.4m (the diameter of 0.8m divided by 2) and the height is also 10m.
So the volume of the outside cylinder is:
V = π * 0.5^2 * 10 = 15.7 m^3
and the volume of the inside cylinder is:
V = π * 0.4^2 * 10 = 12.6 m^3
To find the volume of the concrete required to make the drain, we subtract the volume of the inside cylinder from the volume of the outside cylinder:
15.7 m^3 - 12.6 m^3 = 3.1 m^3
So the volume of concrete required to make the drain is approximately 3.1 cubic metres. To the nearest tenth of a cubic metre, this is 3.1 m^3.
Related Questions
a rectangele has and area of 48 in every dimension
Answers
hope this helps
a qualitative researcher studied womens decisions to delay birth until their late 30s. initial participants referred other women who had made similar decisions. what type of sampling approach i sbeing used with such referrals
Answers
The sample is being used with such referrals of a qualitative researcher studied women's decision to delay childbearing until their late 30s is Snowball, option C.
A non-probability sampling technique called snowball sampling entails the recruitment of new units by existing units to make up the sample. Research regarding people with certain characteristics who would be hard to find otherwise can benefit from snowball sampling (e.g., people with a rare disease).
Snowball sampling, sometimes referred to as chain sampling or network sampling, starts with one or more research participants. Following then, it proceeds based on recommendations from those individuals. This procedure is repeated until the required sample is obtained or a saturation point is reached.
The selection is based on a variety of factors, including:
A minimum of five years must have passed from the beginning of the relationship.Now the pair must cohabitate.The pair must reside in a specific region.The pair must be able to provide examples of changes or difficulties they have faced together (e.g., long-distance, illness or loss of a loved one).Learn more about Snowball sample:
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Complete question;
A qualitative researcher studied women's decision to delay
childbearing until their late 30s. Initial study participants
referred friends who had made similar decisions. What type
of sample is being used with such referrals?
A.Convenience
B.Volunteer
C.Snowball
D. Purposive
Find the value of x. Round to the nearest tenth
Answers
Answer:
x is approximately 13.7
Step-by-step explanation:
tan(58°) = 22/x
x tan(58°) = 22
x = 13.7
Let Pij = the production of product i in period j. To specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units, we need to add which pair of constraints?
P52-P42 <= 80; P42-P52 <= 80
None of the other above.
P24 - P25 <= 80; P25-P24 >= 80
O P24 - P25 >= 80; P25-P24 >= 80
P24 - P25 <= 80; P25-P24 <= 80
Answers
The correct pair of constraints that needs to be added to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units is: P24 - P25 <= 80; P25-P24 <= 80. Therefore, the correct option is 5.
Here, the given information is Pij = the production of product i in period j. We need to find the pair of constraints that will specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Thus, let the production of product 2 in period 4 and in period 5 be represented as P24 and P25 respectively.
Therefore, we can write the following inequalities:
P24 - P25 <= 80
This is because the production of product 2 in period 5 can be at most 80 units less than that of period 4. This inequality represents the difference being less than or equal to 80 units.
P25-P24 <= 80
This is because the production of product 2 in period 5 can be at most 80 units more than that of period 4. This inequality represents the difference being less than or equal to 80 units.
Therefore, we need to add the pair of constraints P24 - P25 <= 80 and P25-P24 <= 80 to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Hence, option 5 is the correct answer.
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a scanning code consists of a $7 \times 7$ grid of squares, with some of its squares colored black and the rest colored white. there must be at least one square of each color in this grid of $49$ squares. a scanning code is called $\textit{symmetric}$ if its look does not change when the entire square is rotated by a multiple of $90 ^{\circ}$ counterclockwise around its center, nor when it is reflected across a line joining opposite corners or a line joining midpoints of opposite sides. what is the total number of possible symmetric scanning codes?
Answers
To count the total number of possible symmetric scanning codes, we need to consider the different symmetries that can be present in a $7 \times 7$ grid. There are a total of $175$ possible symmetric scanning codes.
Rotation by $0^{\circ}$: In this case, there is only one possible arrangement because no squares need to change their color.
Rotation by $90^{\circ}$: The $7 \times 7$ grid can be divided into four quarters. Each quarter can be independently colored in two ways (black or white), except for the center square, which has only one possibility to ensure at least one square of each color. Therefore, there are $2^4 = 16$ possibilities for this rotation.
Rotation by $180^{\circ}$: Similar to the previous case, there are $16$ possibilities.
Rotation by $270^{\circ}$: Again, there are $16$ possibilities.
Reflection across the line joining opposite corners: This symmetry divides the grid into two halves. Each half can be independently colored in $2^6 = 64$ ways, but we need to subtract the case where both halves have the same color to ensure at least one square of each color. So, there are $64 - 1 = 63$ possibilities.
Reflection across the line joining midpoints of opposite sides: Similar to the previous case, there are $63$ possibilities.
Finally, we add up the possibilities for each symmetry:
$1 + 16 + 16 + 16 + 63 + 63 = 175$
Therefore, there are a total of $175$ possible symmetric scanning codes.
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Identify the pair of angles shown in the figure.
Question 17 options:
Vertical
Complementary
Linear pair
Adjacent
Answers
Answer:
d
Step-by-step explanation:
i think
What is the volume of a cylinder, in cubic centimeters, with a height of 16 centimeters and a base diameter of 4 centimeters? Round to the nearest tenths place.
Answers
Answer:
200 cubic centimeter
Step-by-step explanation:
Answer:
201.1 cc
Step-by-step explanation:
r = d/2
v = πr^2 h
---------------------
r = 4/2
r = 2
v = π * (2^2) * 16
v = 3.14159 * 4 * 16
v = 201.06176
Rounded
v = 201.1 cc
--------------------
note:
if 3.14 is used for π
v = 200.96
which rounds to
v =201.0
The value of b when solving the equation 2 (b + 12) = 16 is:
A) 6
B-6
C 4
D) -4
Answers
Answer:
-4
Step-by-step explanation:
2 (-4 + 12) = 16
2( 8) = 16
16 = 16
Help me please if you can
Answers
Answer:
DAB = 180
Step-by-step explanation:
a circle is 360 degrees, DAB represents half of the circling resulting in it being 180 degrees.
Graph the system of equations. y = 2x y = –x + 6 Two lines on a coordinate plane that intersect at the point 2 comma 4. One line has y intercept 0 and the other has y intercept 6. Two lines on a coordinate plane that intersect at the point negative 2 comma negative 4. One line has y intercept 0 and the other has y intercept negative 6. Two lines on a coordinate plane that intersect at the point 1 comma 2. One line has y intercept 0 and the other has y intercept 3. Two lines on a coordinate plane that intersect at the point 3 comma 3. One line has y intercept 0 and the other has y intercept 6.
Answers
The solution to the systems of equations graphically is (2, 4)
Solving the systems of equations graphicallyFrom the question, we have the following parameters that can be used in our computation:
y = 2x
y = -x + 6
Next, we plot the graph of the system of the equations
See attachment for the graph
From the graph, we have solution to the system to be the point of intersection of the lines
This points are located at (2, 4)
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Solve the system using the Substitution Method.
3x+5y=-1
x+2y=-1
Group of answer choices
Answers
Answer:
(-7, 4)
Step-by-step explanation:
I checked on photomath
A cylinder has a height of 18 feet.
Its volume is 16,334.28 cubic feet.
What is the radius of the cylinder?
Answers
The answer is 17, Volume = h × π×r^2
Divide by known height from both sides
Divide by pi
square root
describe the apparent relationship between the two variables under consideration. choose the correct choice below. a. test score remains constant as the number of study hours increases. b. test score tends to decrease as the number of study hours increases. c. test score tends to increase as the number of study hours increases. d. there is no apparent relationship between study hours and test score.
Answers
Based on the given information, the question is asking about the apparent relationship between two variables: study hours and test score. The correct answer is c.
Test score tends to increase as the number of study hours increases. This suggests a positive correlation between the two variables, meaning that as one variable (study hours) increases, the other variable (test score) also tends to increase.
The apparent relationship between the two variables under consideration, which are study hours and test score, can be described as follows:
Your answer: c. Test score tends to increase as the number of study hours increases.
This is because, generally, the more time a person spends studying, the better their understanding of the material, which often leads to a higher test score.
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Please answer correctly! I will mark your answer Brainliest!
Answers
Answer:
Base = 353.55 sq cm
Step-by-step explanation:
10 by 10 triangle = 45 45 90 traingle
hypotenuse = 10√2
A = 10√2 by 25
Nance is riding her bike to a friend's house 4 1/2 miles away. She's ridden 2 3/5 miles so far, How much farther does she need to ride?
Answers
Answer:
19/10 miles
Explanation:
The situation is sketched below
The remaining distance is
\(4\frac{1}{2}-2\frac{3}{5}\)which can be rewritten as
\(4+\frac{1}{2}-2-\frac{3}{5}\)\(2+\frac{1}{2}-\frac{3}{5}\)We subtract the fractions 1/2 and 3/5.
\(\frac{1}{2}\cdot\frac{5}{5}-\frac{3}{5}\cdot\frac{2}{2}\)\(=\frac{5}{10}-\frac{6}{10}=-\frac{1}{10}\)Therefore now our expression becomes
\(2+\frac{1}{2}-\frac{3}{5}=2-\frac{1}{10}\)which can be further rewritten as
\(2\cdot\frac{10}{10}-\frac{1}{10}\)\(=\frac{20}{10}-\frac{1}{10}\)\(=\frac{19}{10}\)which is our answer!
Help me anyone? Tis greatly appreciated!
Answers
Answer:
N
Step-by-step explanation:
Have a great day! Hope this helps :)
Two out of 8 kittens have white feet. What percentage of the litter had white feet?
Answers
Answer:
2 out of 4
Step-by-step explanation:
Answer:
Is 25%
Step-by-step explanation:
2/8=1/4 1/4 as a percent is 25%
Which is the mode of this data?
12, 19, 22, 17, 15, 18, 15, 14, 16
Answers
Answer:
Sry but i hope u have great christmas and get all the gifts you wnated.
Step-by-step explanation:
suppose that $2000 is loaned at a rate of 12% compounded quarterly. assuming that no payments are made, find the amount owed after 3 years. do not round any intermediate computations, and round your answer to the nearest cent.
Answers
The total amount owed after 3 years with the given rate of interest compounded quarterly will be $2851.52.
What is compound interest?Compound interest is applicable when there will be a change in principal amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
Given that,
Principle amount P = $2000
Rate of interest R = 12%
Compounded quarterly n = 4
Time period T = 3 years
Total amount = P{1 + R/n]^(nT)
Total amount = 2000[1 + 0.12/4]^(4×3)
Total amount = $2851.52
Hence "The total amount owed after 3 years with the given rate of interest compounded quarterly will be $2851.52".
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Please explain why "10" is considered a polynomial but
1/4 is not.
Answers
Answer:
Neither are polynomials because polynomials have more than 2 terms
Step-by-step explanation:
Answer: 10 is a polynomial because the power of x is 0, which is a whole number.
Step-by-step explanation: Sorry that's all I got. I hoped that helped you find why 1/4 is not a polynomial.
What expressions are equivalent to 2^5/6^5
Answers
Answer:
B. \(3^{-5}\)
D. \(2^{5}\) × \(6^{-5}\)
Step-by-step explanation:
\(\frac{2^{5} }{6^{5} }\)
\(\frac{32}{7776}\)
0.00411522633
\(3^{-5}\) = 0.00411522633
\(2^{5}\) × \(6^{-5}\) = 0.00411522633
Help plssssssssssssss?
Answers
Answer:
2
Step-by-step explanation:
because when x, the input, is -3, the y, the output, is 3
F
D
80°
E
B
160
G
NOTE: Angles not necessarily drawn to scale.
2=
PLEASE HELPPP!!!
Answers
Answer:
\( \boxed{x\degree = 80\degree} \)
Step-by-step explanation:
Vertically opposite angles are equal.
\( = > x \degree + 80\degree = 160\degree \\ \\ = > x\degree = 160\degree - 80\degree \\ \\ = > x\degree = 80\degree\)
Answer:
80°
Step-by-step explanation:
Look at the picture* *
Can somebody tell me If this is right or wrong because I don’t know.
Answers
The simple interest values are all wrong
What is simple interest?Simple Interest (S.I) is a method of charging or yielding a specific percentage on the principal amount borrowed/deposited in a particular period. It is calculated using the formula
SI = (Principal*Rate*Time)/100,
a) SI = (450*25.2*3)/100,
SI = %70.2
2) SI = (Principal*Rate*Time)/100,
SI = (250*3.75*5)/100,
$46.875
(3) SI = (Principal*Rate*Time)/100,
SI = (1800*2.1*2)/100,
SI = $75.6
4) SI = (Principal*Rate*Time)/100,
SI = (1500*2.9*2)/100,
SI = $87
5) SI = (Principal*Rate*Time)/100,
SI = (50*1.9*10)/100,
SI =$9.5
6) SI = (Principal*Rate*Time)/100,
SI = (8*0.7*300)/100,
SI = $16.8
7) SI = (Principal*Rate*Time)/100,
SI = (125*2.03*4)/100,
SI = $10.15
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There are twenty students in a speech class and five speeches are given each day. What is the probability that Maria is randomly selected on the first day?
1140/15504
3876/15504
4845/15504
1628/15504
Answers
Answer:
i think 47.2
Step-by-step explanation:
hope this helps
HELP if a person runs 5 miles in 25 minute, how long will it take them to run 8 miles at the same rate?
Answers
Answer:1.6
Step-by-step explanation:
25/5=5
8/5=1.6
Answer:
40 MinutesStep-by-step explanation:
if 5miles = 25 minutes
then, 8 miles = X
hence X minutes
\(x = \frac{25minutes}{5miles} \times 8miles\)
X=40 minutesWhat is the radius of a sphere with a volume of 11411 mº, to the nearest tenth of a meter? Answer: m Submit Answer attempt 1 out of 2
Answers
a tower that is 106 feet tall casts a shadow 135 feet long. find the angle of elevation of the sun to the nearest degree.
Answers
The angle of elevation of the sun is \(tan^{-1}\)(106/ 135).
The angle of elevation:
The angle is formed by the line of sight and the horizontal plane for an object above the horizontal.
Here we have to find the angle of elevation of the sun.
Data given:
length of the tower = 106 feet
shadow form by the tower = 135 feet
The formula for the angle of elevation = height/base
tanФ = height/base
= 106/ 135
Ф = \(tan^{-1}\)(106/135)
Therefore the angle of elevation is \(tan^{-1}\)( 106/ 135).
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: Which of the following statement is most likely to be true? O The future value factor is always greater than 1, given that r>0. The future value factor is always greater than 1, given that r<0. The present value factor is always less than 1, given that r<0. The present value factor is always greater than 1, given that
Answers
The statement that is most likely to be true is "The present value factor is always less than 1, given that r < 0."
The future value factor is a multiplier that represents the growth or accumulation of a present value to a future value based on an interest rate (r) and time period. However, the future value factor is not always greater than 1, given that r > 0. The future value factor can be greater than 1 or less than 1, depending on the combination of interest rate and time.
Similarly, the present value factor represents the discounting of future cash flows to their present value. When the interest rate (r) is negative (r < 0), the present value factor will be less than 1. This is because negative interest rates imply a discounting effect, reducing the value of future cash flows to a lower present value.
Therefore, the statement that the present value factor is always less than 1, given that r < 0, is the most likely to be true, as it aligns with the concept of present value and the discounting effect of negative interest rates.
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Maura spends $5.50 in materials to make a scarf. She sells each scarf for 600% of the cost of materials.
Complete the sentence by selecting the correct word from the drop down choices.
Maria sells each scarf for Choose... ✓ or
Answers
The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.
How to calculate the selling price of each scarf?To calculate the amount of money that Maura spends on each scarf the following is carried out.
The amount of money that she spends on the scarf material = $5.50
The percentage selling price of each scarf = 600% of $5.50
That is ;
= 600/100 × 5.50/1
= 3300/100
= $33.
Therefore, each price that is sold by Maura would probably cost a total of $33.
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