Answers
Answer:
3.3.1
A cylinder has a circular base.
3.3.2
As cylinders have circular bases, the formula for the area of the base of a cylinder should be the same as the formula for the area of a circle:
[tex]\boxed{\mathrm{Area = \pi r^2}}[/tex].
3.3.3
To find the volume of a cylinder, we can imagine stacking multiple circles on top of each other so that the height of the structure increases, and the shape becomes a cylinder.
This means that the volume of a cylinder is simply the area of the base circle multiplied by the height (h) of the cylinder.
∴ [tex]\boxed{\mathrm{Volume = \pi r^2h}}[/tex].
3.3.4
We can use the above formula to calculate the volume of the given cylinder, where:
• r = [tex]\mathrm{\frac{diameter}{2}}[/tex] = [tex]\frac{8}{2}[/tex] = 4 m
• h = 3 m
∴ [tex]\mathrm{Volume = \pi \times (4 \: m)^2 \times 3 \: m}[/tex]
[tex]= \mathrm{\pi \times 16 \:m^2 \times 3 \: m}[/tex]
[tex]= \mathrm{48 \pi \: m^3 }[/tex]
[tex]= \mathrm{\bf150.8 \space\ m^3}[/tex]
Related Questions
Stimulus: The student is presented with a polygon (square,
rectangle, parallelogram, or night triangle) on a grid and the scale
factor at which it was created.
Example Stem: This diagram of a rectangular city park was drawn
using a scale factor of 1 centimeter to 20 meters.
In the diagram shown, assume each square on the grid is 1
centimeter in length.
What is the area, in square meters, of the actual park on which this
scale drawing is based?
Answers
Scale factor for the drawing from actual park = 1/20
Area of the actual park = 1200 cm²
Area of a Rectangle. A = l × b. The area of any rectangle is calculated, once its length and width are known. By multiplying length and breadth, the rectangle's area will obtain in a square-unit dimension
Length of the rectangular city park = 5 cm
Width of the rectangular park = 6 cm
Using scale factor 1 cm = 20 meters
Scale factor = Length of the park in drawing/ actual length of park
⇒1/20.
5/actual length of park = 1/ 20
Actual length = 5 × 20 = 100 meters
Actual width = 6 × 20 = 120 meters
Area of the rectangular park = length × width
square meters
Therefore, Scale factor from actual length to the length in drawing = 1 : 20
Area of the rectangular park = 1200 square feet
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Need help now please Due today! Substitution: 1. (x+5)^2 -y ; x= -2 y=1 2. 3x+4y^2 ; x=-3 y=5
Answers
The value of equation 1 = 8 and The value of equation 2 = 91 after substituting the given values.
Given the 2 equations,
1)[tex](x+5)^{2} -y[/tex] ; for x=-2 and y=1
2)3x+4[tex]y^{2}[/tex]; for x=-3 and y=5
Equation 1
⇒[tex](x+5)^{2} -y[/tex] ; for x=-2 and y=1
⇒[tex](-2+5)^{2}[/tex]-1 {substituting x=-2 and y=1 }
⇒[tex]3^{2}[/tex]-1
⇒9-1
⇒8
Equation 2
⇒3x+4[tex]y^{2}[/tex]; for x=-3 and y=5
⇒3(-3)+4[tex](5)^{2}[/tex] {substituting x=-3 and y=5 }
⇒-9+4(25)
⇒-9+100
⇒91
Therefore, The value of equation 1 = 8 and The value of equation 2 = 91 after substituting the given values.
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Solve for f. quick I really don’t have time
Answers
Answer:
እሺ እሺ አትጨነቅ ከፈለገ አይነግረኝም።
find the point that partitions CD in the ratio 1:2 c(-1,7) and d(5, 1)
Answers
Coordinates of the point that partitions the line into the given ratio is; (1, 5)
How to divide a line segment?
If the ratio dividing a line segment represents a:b, then the formula to divide the line segment is;
Coordinates = {(bx₁ + ax₂)/(a + b), (by₁ + ay₂)/(a + b)}
From our question, we have the ratio as;
1:2. Thus; a = 1 and b = 2
Our coordinate of CD is; C(-1,7) and D(5, 1)
Thus;
x₁ = -1
x₂ = 5
y₁ = 7
y₂ = 1
Coordinates of the point that partitions the line into the given ratio is;
Coordinate = {(2*-1 + 1*5)/(1 + 2), (2*7 + 1*1)/(1 + 2)}
Coordinate = (3/3, 15/3) = (1, 5)
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Those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called?
Answers
Those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called descriptive statistics.
Descriptive statistics:- Descriptive statistics helps to describe, summarize and organize the set of data efficiently and in an informative way, so that it'll be easier to make conclusion about the data in order to make rational decisions. This method describes the characteristics of a dataset.
Example:- The average test score for the students of a particular class, gives descriptive sense of the typical scores.
There are three types of descriptive statistics-
Univariate statistics:- It summarizes only one variable at a time.Bivariate statistics:- It compares between two variables.Multivariate statistics:- It compares between more than two variables.Thus we can conclude that, those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called descriptive statistics.
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the points (-3,1), (-1,1), (0,-1), (-1,-3), (-3,-3) and (-4,-1) are vertices of a polygon. what type of polygon is formed by these points?
Answers
Answer:
The type of polygon that is formed is a Hexagon because of its 6 sides.
Step-by-step explanation:
When you graph all of these points into a coordinate grid it should look like this:
The absolute value function is a -------- linear function.
piecewise
different
complete
negative
Opositive
Answers
Answer:
Piecewise
Step-by-step explanation:
It is basically made up of 2 linear functions
Caleb earns points on his credit card that he can use towards future purchases. He earns four points per dollar spent on flights, two points per dollar spent at hotels, and one point per dollar spent on all other purchases. Last year, he charged a total of $9,480 and earned 14,660 points. The amount of money spent on flights was $140 more than twice the amount of money spent on hotels. Write the system representing this situation. *Use "f" for flights *Use "h" for hotels *Use "t" other *do NOT use commas
Answers
Answer:
Caleb earns points on his credit card that he can use towards future purchases. He earns four points per dollar spent on flights, two points per dollar spent on hotels, and one point per dollar spent on all other purchases. Last year, he charged a total of $9,480 and earned 14,660 points. The amount of money spent on flights was $140 money than twice the amount of money spent on hotels. Find the amount of money spent on each type of purchase.
8. Two straight lengths of wire are placed on the ground, forming vertical angles. If the measure (3 points)
of one of the angles formed is 72°, what are the measures of the other three angles? Explain
your answer.
Answers
See attachment
72 was given, and it is a vertical angle so it’s vertical angle is congruent (same) 72.
You can find the other missing angles with supplementary angle theory, two angles will equal 180 degrees, so 180 - 72 = 108.
The 108 angle is also a vertical angle so it’s vertical angle is also 108 degrees.
Find the value of x in the equation. 3/4 (8x-6) -2= 1/2-x
Answers
In linear equation, the value of x in the equation is 20/11.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.3/4 (8x-6) -2= 1/2-x
24x - 18 - 2/4 = x/2
24x - 20/4 = x/2
2(24x - 20) = 4x
48x - 40 = 4x
48x - 4x =40
44x = 40
x = 40/44
x = 20/11
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If the total number of books checked out of the library at your high school is 14,400 and the student population is about 2400. how many books on average does each student have?
Answers
Each student on average has 6 books.
What is average?In layman's terms, an average is a single number chosen to represent a set of numbers, usually the sum of the numbers divided by the number of numbers in the set. The average of the numbers 2, 3, 4, 7, and 9 is 5, for example.To find how many books on average each student has:
To find the average, divide the total number of books by the total number of students.So, 14,400/2,400 = 6Therefore, each student on average has 6 books.
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4. Calculate the area of the triangle.
20 mm
11 mm
Answers
Ar of Triangle = 1/2 x b x h
= 1/2 x 20 x 11
= 110mm^2
How many 1/2's are there in 6?
Answers
Answer:
12
Step-by-step explanation:
There are 12 1/2's in 6.
To find how many 1/2's there are in 6, you have to divide 6 by 1/2.
6 ÷ 1/2
To divide by a fraction, you have to multiply by the reciprocal (reverse the numerator and denominator of a fraction).
6/1 × 2/1
6 × 2
= 12
Have a lovely rest of your day! :)
Anna is in charge of the alumni fundraiser for her alma mater. She is selling pre-sale tickets for $10 and at-the-door tickets for $20. The venue has the capacity to hold 400 people. The graph represents the number of tickets Anna needs to sell to offset her upfront costs and raise $5,000 for her school
A.400
B.300
C.250
D.100
Answers
Number of At-the-Door tickets Anna needs to sell to make her goal = 100
Anna is selling pre-sale and at-the-door tickets.
Let 'x' be the number of pre-sale tickets and 'y' be the number of at-the-door tickets.
Price of a pre-sale ticket = $10
Price of an at-the-door ticket = $20
Total price to be raised = $5000
So the equation corresponding is 10x+20y = 5000-----------(1)
Total number of people the venue can hold = 400
Thus the next equation is x+ y = 400---------(2)
From the graph the line with points (0,250) and (500,0) represent the equation (1) since 10 x 0 + 20 x 250 = 5000 and 10 x 500 + 20 x 0 = 5000.
The line with points (0,400) and (400,0) represent the equation (2) as 0+400 = 400 and 400+0 = 400.
So to find x and y we need to solve equations (1) and (2).
10 x (2) ⇒ 10x+10y = 4000-------(3)
Now subtract (3) from (1)
⇒ 10y = 1000
⇒ y = 100
Hence the number of At-the-Door tickets Anna needs to sell to make her goal = 100
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Write an absolute value expression you could use to find the absolute value of 3.1 + (-6.3)
Answers
The absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
The number expression is:
= 3.1 + (-6.3)
To find the absolute value of 3.1 + (-6.3):
= |3.1 + (-6.3)|
= |3.1 - 6.3|
= |-3.2|
= 3.2
Thus, the absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.
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A qualitative forecasting technique that is useful for identifying what consumers like and dislike about a product is?
Answers
A qualitative forecasting technique that is useful for identifying what consumers like and dislike about a product is Market research.
What methods are employed in a qualitative forecast?
The expert opinion approach, the Delphi method, and the market survey approach are the three main methods utilized in qualitative forecasting.
What are qualitative forecasting models, and when are they useful?
Qualitative forecasting techniques are based on the judgment and opinion of experts and consumers and are only appropriate in the absence of historical data. Market research, Delphi method, and informed opinion and judgment are a few examples of qualitative forecasting techniques.Learn more about qualitative forecasting
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PLEASE HELP ITS DUE IS ONE HOUR !!!
Answers
The correct responses for the points, segments, lines, planes, are as follows;
1. M, S, X, and Y
2. Two lines are; [tex] \overleftrightarrow{SX}[/tex], [tex] \overleftrightarrow{YR}[/tex]
3. [tex] \overline {MX}, \overline{MY}, \overline {MS}, \overline{MR}[/tex]
4. [tex]\overrightarrow{MT}[/tex]
5. S, M, T
6. T
7. [tex] \overline{MT}[/tex]
8. [tex] \overleftrightarrow{SX}[/tex]
9. [tex] \overleftrightarrow{SX}[/tex]
10. [tex] \overline{MR}[/tex]
11. A line
12. A plane
13. A point
14. A plane
15. A ray
16. A segment
Please find attached the drawing for the figures in questions 17, 18, 19,and 20
What are the required points, segments, lines, planes and rays?1. A point in Euclidean geometry is a location in space.
Four points are; M, S, X, and Y
2. A line has no thickness and extends indefinitely in both directions.
Two lines are;
[tex] \overleftrightarrow{SX}[/tex]
[tex] \overleftrightarrow{YR}[/tex]
3. Four segments are;
[tex] \overline {MX}, \overline{MY}, \overline {MS}, \overline{MR}[/tex]
4. A ray that has M as an endpoint is \overrightarrow{MT}
5. Three collinear points are; S, M, T
6. A point not on [tex] \overline{YR}[/tex] is T
7. A segment with points T and M as its endpoints is [tex] \overline{MT}[/tex]
8. A line that does not contain R is [tex] \overleftrightarrow{SX}[/tex]
9. A line containing M is; [tex] \overleftrightarrow{SX}[/tex]
10. A segment of lies on [tex] \overleftrightarrow{YR}[/tex] is MR
11. A toothpick suggests a line
12. A floor suggests a plane
13. The tip of a pin suggests a point
14. The water surface of a swimming pool suggest a plane
15. A beam of light from a laser suggests a ray
16. A fence pole suggests a segment
Please find attached the drawing for the figures in questions 17, 18, 19, and 20
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Why is 3x1/10 less than 3x10 I need help ASAP
A the value of 1 ten is less than the value of 1 tenth
B the value of 1 tenth is less than the value of 3 tenths
C The value of 1 ten is less than the value of 3 tens
D The value of 1 tenth is less than the value of 1 ten
Answers
Answer:
The value of 1 tenth is less than the value of 1 ten
Step-by-step explanation:
1 tenth = 0.1
1 ten = 10
0.1 is way less than 10 so that is why 3 x 1/10 is less than 3 x 10. Even though the 3 is the same, 1/10 is less than 10 so that is why 3 x 1/10 has less value.
If the librarian had a budget of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of new-release and classic movies bought?
Answers
Answer: Answer is 16 new releases and 22 classic movies.
Step-by-step explanation:
He'll buy 16 new releases and 22 classic movies.
Let x = number of new releases
Let y = number of classics.
The equation to solve the question will be:
20x + 8y = 500
When x= 16 and y = 22, thus will be:
= 20x + 8y
= 20(16) + 8(22)
= 320 + 176
= 496
Therefore, since this is the number closest to $500, therefore this will be the appropriate number of movies that he can buy.
In conclusion, he'll buy 16 new releases and 22 classic movies.
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Help me
Evaluate the expression.
Do not round your answer.
image:-
Answers
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
2 ( [tex]\frac{1}{3^2}[/tex] )
= 2 ( [tex]\frac{1}{9}[/tex] )
= 2 × [tex]\frac{1}{9}[/tex]
= [tex]\frac{2}{9}[/tex]
Write an expression to represent the product of -3 and the square of a number decreased by 8
Answers
Answer:
-3 X (x^2 - 8)
Step-by-step explanation:
put "the square of a number decreased by 8" in parentheses so when -3 is multiplied with that, it does not get multiplied with y^2 and -8.
anytime you see "a number" in a sentence, put it as a random variable, in this case, I decided it should be "x".
f(-6)=3(3-2x). What is the evaluating function?
Answers
Step-by-step explanation:
or,(-6)=3(3-2x)
or,(-6)=9-6x
or,-6-9=-6x
or,-15=-6x
or,-15+6=x
or,-9=x
x=-9
2: Strategically decompose 1.57 to round to the nearest whole and nearest tenth.
Answers
In the formula for calculating the standard deviation, what does the letter n represent? a. summation b. sample size c. mean score for group d. individual score
Answers
The correct option is (b) sample size.
In the formula for calculating the standard deviation, the letter n represent sample size.
What is standard deviation?
Standard deviation is a statistical standard measure in finance that, when applied to an investment's annual rate of return, sheds light on its historical volatility.
Some key features regarding the standard deviation are-
The higher the standard deviation of a security, the larger the variance between every price and the mean, indicating a wider price range.A volatile stock, for example, has a high standard deviation, whereas a stable blue-chip stock has a low deviation.A square root of a value deduced from correlating data points to a population's collective mean is used to calculate standard deviation. The formula is:
Standard Deviation = [tex]\sqrt{\frac{summation n to i=1 (x_{i}-bar x )}{n-1} }[/tex]
Where,
[tex]x_{i}[/tex]= value of the i th point the the given data set.
[tex]barx[/tex]= mean value
n = total number of data points.
Thus, the standard deviation, on the other hand, determines all ambiguity as risk, even when it is in the investor's favor, like above-average returns.
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What is 12 1/2% of 300
Answers
Answer:
37.5
Step-by-step explanation:
Answer: 37.5
Step-by-step explanation:
12.5% of 300=37.5
Find the equation of the line shown.
Answers
Answer:
The x is 2 and the y is 1. So, it's 1/2
Step-by-step explanation:
x = 2
y = 1
Slope goes y,x,
Point B is the midpoint of AC. Find Point C
A (0,6) B (5, -8)
Answers
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{0}~,~\stackrel{y_1}{6})\qquad C(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +0}{2}~~~ ,~~~ \cfrac{ y +6}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE B}}{(5~~,~~-8)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{x+0}{2}=5\implies \boxed{x=10} \\\\\\ \cfrac{y+6}{2}=-8\implies y+6=-16\implies \boxed{y=-22}[/tex]
distribution consists of 30 scores of 10 and 30 scores of 20. Find the ratio of the range to the standard deviation.
Answers
The records of four baseball teams are shown below. Which team had the greatest percent of wins?
Rattlers won 95 and lost 65. Cobras Won 92 and lost 58. Boas Won 94 and lost 66. Pythons won 96 and lost 64.
the Boas
the Cobras
the Pythons
the Rattlers
Answers
Answer:
The Cobras
Step-by-step explanation:
I just took the test
Answer:the Cobras
Step-by-step explanation:
Not sure how to go about this
