The volume of the cylinder is 62.83 cubic cm and the volume of. the cone is 20.94 cubic cm.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
We know that,
It should be noted the to calculate the volume of a cylinder, we can use the formula V = πr²h, where r is the radius and h is the height. In this case, the height and radius of the cylinder and cone are the same.
For the cylinder:
Volume = π(2cm)²(5cm)
V = 20π
For the cone, we can use the formula
V = (1/3)πr²h:
V = (1/3)π(2cm)²(5cm)
V = 20/3π cubic cm (exact value)
Hence, to get an approximate decimal value, we can use a calculator to evaluate:
Volume of cylinder ≈ 62.83 cubic cm
Volume of cone ≈ 20.94 cubic cm
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Complete question:
A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm. Calculate the volume of the cylinder and the cone. Enter your answers as a whole number or fraction
Cylinder:
π cm3
Cone:
π cm3
Flag question: Question 2
Question 21 pts
The volume of this cone is cubic units.
A drawing of a cone.
What is the volume of a cylinder that has the same base area and the same height?
π
Flag question: Question 3
Question 31 pts
A cylinder has a diameter of 6 cm and a volume of cm3.
Sketch the cylinder.
Find its height and radius in centimeters.
Label your sketch with the cylinder's height and radius.
Radius:
cm Height:
cm
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Question 41 pts
Lin wants to get some custom T-shirts printed for her basketball team. Shirts cost $10 each if you order 10 or fewer shirts and $9 each if you order 11 or more shirts.
1. Make a graph that shows the total cost of buying shirts, for 0 through 15 shirts.
2. There are 10 people on the team. Do they save money if they buy an extra shirt? Explain your reasoning.
No
3. What is the slope of the graph between 0 and 10? What does it mean in the story?
The slope is
5
which represents the
Shirts per $1
for the first 10 shirts
4. What is the slope of the graph between 11 and 15? What does it mean in the story?
The slope is
7
which represents the
Price per 1 shirt
for 10-15 shirts
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Question 51 pts
In the following graphs, the horizontal axis represents time and the vertical axis represents distance from school. Match a possible story to each graph.
Group of answer choices
Left graph
A student leaves school and walks to a friend’s house that is halfway between school and their house. After spending some time at a friend’s house, the student continues walking home.
Center graph
An athlete leaves school to go home for a while, then returns to school for a game later in the evening.
Right graph
A parent starts from their workplace and drives directly to school to pick up their daughter.
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please please pleaseeee help I beg you ill give 25 points please
Answer:nonlinear i think
Step-by-step explanation:
Show work. Due in 5 hours.
Answer: 3 feet
Step-by-step explanation: It's simple if there is a 39-foot ladder going straight up and the house is 36 feet high back up 3 feet then angle the ladder a little bit and it meets at the point
Answer: 3 feet
Step-by-step explanation:
Which word shows a lack of affection for someone? Distrust or Dislike
Answer:
Dislike
Step-by-step explanation:
The answer is:
Dislike.
What is dislike?
A feeling of distaste or hostility.
"I dislike Angela because..."
Some synonyms:
Hate, detest, loathe, despise.
I apologize if this is incorrect. I hope you have a lovely day! :)
A line contains the point (2, 5) and has a slope of −4.
What is the equation of the line in slope-intercept form?
Enter your answer by filling in the boxes.
y = __ x +__
Answer:
y = -4x + 13
Step-by-step explanation:
y = mx + b
We need the slope (m) which was given to us: -4
We need to find the y-intercept (b)
We will use the point given (2,5) and the slope to find b.
y = 5 from the point (2,5)
x = 2 from the point (2,5)
m = -4 given
substitute these into the equation
y =mx + b
5 = (-4)2 + b
5 = -8 + b Add 8 to both sides
5 + 8 = -8 + 8 + b
13 = b
We now know that m is -4 and b is 13. Write the equation
y = mx + b
y = -4x + 13
Part I: Making the Race
Henri is Emile's younger brother and they are having a walking race. Emile can walk 2.5 meters per second whereas Henri walks 1 meter per second. Because Emile is faster, they give Henri a 45 meter head start. Emile knows Henri would enjoy winning the race, but they do not want to make the race so short that it is obvious Emile let Henri win.
1. How long should the race be so that Henri will win in a close race?
2. Describe or show your strategy on how you came up with your answer for #1.
74 meters
Step-by-step explanation:
The difference in Emile and Henry's speed is 1.5, and the lead for Henry is 45 meters, so 45÷1.5= 30 seconds which means Henry will go another 30 meters at 1 meter per second.
2. To make it a close race we want Henry to go a longer distance than Emile, so make it 74 meters, which means Emile will go only have 45+29 = 74 seconds to get to 74 meters, but Henry only have 29 seconds in total = 29*2.5 = 72.5 meters.
What is $400 at 3% for 5 years?
A. Find interest earned
B. Find the balance of the account
The interest earned is $60 and the balance of the account is $460. The interest and the balance of the account will be both calculated with their given formulas.
An expense or payment for using borrowed money is interest; it is occasionally stated as a percentage of the principal borrowed. It could also be applied to the returns on investments or savings. Interest is the cost that a borrower typically reimburses a lender for the use of their funds.
A. We must use the formula-
Interest = Principal x Rate x Time, to calculate the interest earned.
Here, Interest = $400 divided by 0.03 and multiplied by 5.
Earned interest is $60.
B. We must utilize the formula-
Balance = Principal + Interest, to determine the account's balance.
Balance = $400 + computed interest in this instance.
Balance: $400 + $60.
The account's balance is $460.
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Please, help me with this!
Answer:
Below
Step-by-step explanation:
Add the fractions together to see if they total LESS than the ONE CUP that she has available:
3/8 + 1/4 <=====must have the same denominator to add fractions
3/8 + 2/8 = 5/8 <==== this is less than ONE cup so she has enough
I NEED HELP WITH AN ALEK'S TOPIC WILL GIVE BRAINEST IF HELPED AND DON'T DO IT FOR THE POINTS!!!
Answer:
21/32
Step-by-step explanation:
The amount y (in cups) of flour is proportional to the number x of eggs in a recipe. The recipe calls for 4 cups of flour for every 2 eggs. A. Write an equation that represents the situation. B. Interpret the slope. C. How many cups of flour would you need for 8 eggs?
Answer:
A. y = 2x + 0 B. The slope of the equation is 2, which means that for every 2 eggs, you need 4 cups of flour. C. For 8 eggs, you would need 16 cups of flour.
Answer: 16 cups of flour
Step-by-step explanation:
As amount of flour is directly proportional to number of eggs,
2/4 = 8/y
y = 8*4/2 = 16
HELP again
LOOK AT MY ATTACHED IMAGE
Answer:
3 cups of water
Step-by-step explanation:
50 POINTS ASAP!!!!
A group of students was asked about the number of flights they have taken. The data is shown in the line plot.
A line plot titled Flights Taken. The horizontal line begins at 3, with each unit marked up to 14. There is one dot above 6, 9, 10, and 11. There are two dots above 5, 7, and 8.
Which of the following best describes the spread of the data? Explain its meaning in this situation.
The data has a range of 11, which is a wide spread. This means that one student had 11 fewer flights than the students with the most number recorded.
The data has a range of 6, which is a narrow spread. This means that there is not a large difference in the number of flights taken by the students.
The data has a range of 11, which is a narrow spread. This means that there is about the same number of flights taken by each of the students.
The data has a range of 6, which is a wide spread. This means that there is a difference of 6 flights between each of the students.
The data has a range of 11, which is a wide spread. This means that there is a large difference in the number of flights taken by the students, with one student having taken 11 more flights than the student who took the least number of flights recorded. In this situation, the spread of the data indicates that some students have taken significantly more flights than others.
The data has a range of 6, which is a wide spread. This means that there is a difference of 6 flights between each of the students.
How to obtain the range of a data-set?The difference between the highest and lowest values in a data collection indicates the range of that data set.
The dot plot displays the frequency of each amount observed, so:
The lowest number is of 5.
The highest number if of 11.
Then. the range is
=11 - 5
= 6.
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I need help Asp.Look at picture below. Please solve and show steps how to solve
Answer:
n = -1 5/14
Step-by-step explanation:
-8 - 5 1/4n = -7/8
{Add 8 to each side}
-5 1/4n = 7 1/8
{Divide each side by -5 1/4}
n = -1 5/14
Please, help me with this!
Answer:
I believe the answer is B
Step-by-step explanation:
I think its B.
The correct alternative is: b) 7/16.
I apologize if this is incorrect. I hope you have a lovely day! :)
1. The distance between two cities is 144 km, it takes me 3 hours to travel between these cities. What speed did I travel at?
2. Jim travelled at a speed of 18km/h for 2 hours. What was the distance covered?
3. A whale swims at a constant speed of 8m/s for 17s. What distance did it travel?
Answer all of this in each question
*Given numbers:
*Find:
*Formula
*Solution
*Final Answer:
Answer: 1. 432
2. 36 3.136
Step-by-step explanation:
Are all cones similar? why?
Answer:
Yes
Step-by-step explanation:
Because they all have one vertex and one curved surface or face.
Answer:
yes
Step-by-step explanation:
because there all the same shape
HELP!! Picture below (ignore the other question
Answer:
A
Step-by-step explanation:
Answer:
m ≤ -20
Step-by-step explanation:
-20and all the numbers less than -20 are a solution. I know that -20 is included because the point on it is solid. If the point was hollow the answer would be m < -20
A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the homework grade, to the nearest integer, for a student with a test grade of 31.
Homework Grade (x) Test Grade (y)
58 52
75 66
66 68
85 74
52 38
74 65
78 76
The linear regression equation that represents this set of data is given as follows:
y = 1.05x - 10.43.
The estimated homework grade for a student with a test grade of 31 is given as follows:
39.46.
How to find the equation of linear regression?To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.
The points for this problem are given as follows:
(58, 52), (75, 66), (66, 68), (85, 74), (53, 38), (74, 65), (78, 76).
Inserting these points into a calculator, the equation is given as follows:
y = 1.05x - 10.43.
The estimated homework grade for a student with a test grade of 31 is x when y = 31, hence:
31 = 1.05x - 10.43
x = 41.43/1.05
x = 39.46.
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6.5/40.3 = M/12.4 what dose m =
m=2
[tex] \frac{6.5}{40.3} = \frac{m}{12.4} [/tex]
[tex]40.3m \: = 6.5 \times 12.4[/tex]
[tex]m = \frac{6.5 \times 12.4}{40.3} [/tex]
[tex]m = \frac{80.6}{40.3} [/tex]
[tex]m = 2[/tex]
Answer:
M = 2
Step-by-step explanation:
What does it mean to have something be equal (Equivalent)?
Equivalence means to be same, whether it be value, temperature, size, etc.
If equivalence means to be the same, we can use this equation to figure out what M is equal to.
40.3 ÷ 12.4 = 3.25So, in order to solve for M, we need to divide 6.5 by 3.25.
6.5 ÷ 3.25 = 2Therefore, M = 2.
HELP ASAP!!
What is the value of x in this triangle?
Enter your answer in the box.
x =
Answer:
x = 47
Step-by-step explanation:
We need to solve for the interior angle measure x. To get x, we know that the sum of the triangles angle measures are 180, so lets write an equation to find x.
[tex]x+102+31=180[/tex]
Add like terms
[tex]x+133=180[/tex]
Subtract 133 on both sides
[tex]x=47[/tex]
To check our work, we can add the angle measures together so we know we got it right.
[tex]47+102+31=180[/tex]
Answer:
x=48
Step-by-step explanation:
add 102 and 31 then subtract it by 180
Original number of students: 56
New number of students: 77
Find the percent of change. Round your answer to the nearest tenth of a percent, if necessary.
Answer:Therefore, the percent change from 56 to 77 students is 37.5%.
Step-by-step explanation:
students, we can use the following formula:
percent change = ((new number - old number) / old number) x 100%
Plugging in the values given in the problem, we get:
percent change = ((77 - 56) / 56) x 100%
percent change = (21 / 56) x 100%
percent change = 0.375 x 100%
percent change = 37.5%
Therefore, the percent change from 56 to 77 students is 37.5%.
Answer: 37.5%
Step-by-step explanation:
OOP I don't deserve to be in compact math LOL bc i need a lot of help.... w/ math
Answer:
152 grams of zinc
Step-by-step explanation:
You can always first create some ratios to clean it up
[tex] \frac{zinc}{copper} = \frac{4}{19} = \frac{x}{722} [/tex]
x being zinc, what we need to find
Next we can cross multiply
[tex]19x = (722)(4)[/tex]
[tex]19x = 2888[/tex]
Lastly, we will divide both sides by 19 to get X alone.
[tex]x = 152[/tex]
Find the selling price. Round to the nearest cent for each 18-20
18. cost: $10 percent markup: 50%
19. cost: $28 percent markup: 25%
20. cost: $65 percent markup: 70%
Answer:
18: 15$
19: 35$
20: 110.50$
Step-by-step explanation:
18: A 50% markup would mean 5 dollars extra which makes it 15$
19: 25% of 28 would be an extra 7 dollars which makes it 35$
20: 70% of 65 would be 45.50 cents, adding this to 65 would make it 110.50$
Future help with percentages: When an item is marked up it would mean the percentage is multiplied by the initial value and then add the product with the initial value.
Someone help please
Answer: a) -1 5/8
Improper fraction = -52/32 = -1 5/8
What is $400 at 3% for 5 years?
A. Find interest earned
B. Find the balance of the account
Answer:
463.71
Step-by-step explanation:
I need help with this math equations.
Answer:
2: (2, 0)
Step-by-step explanation:
Since 2 is x and 0 is y, you would put those numbers in the equation. These 2 numbers work for both equations so it is the correct answer.
Answer: Option 2 - (2,0)
Step-by-step explanation:
By substituting the values of x and y only option 2 is appropriate for the equation to be true.
Need answer asap pls and ty, will give brainly if it's right
Answer:
There isn’t any attachment of any sort. I apologize but if you reupload I can help you.
Step-by-step explanation:
two quadrilaterals that have matching angles but different side lengths.
Answer:
Step-by-step explanation:
ere are two quadrilaterals that have matching angles but different side lengths:
1.Quadrilateral ABCD:
Angle A = 90 degrees, Angle B = 60 degrees, Angle C = 120 degrees, Angle D = 90 degrees
Side AB = 5 units, Side BC = 10 units, Side CD = 5 units, Side DA = 10 units
2.Quadrilateral PQRS:
Angle P = 90 degrees, Angle Q = 60 degrees, Angle R = 120 degrees, Angle S = 90 degrees
Side PQ = 3 units, Side QR = 6 units, Side RS = 3 units, Side SP = 6 units
Both of these quadrilaterals have the same angle measures (90 degrees, 60 degrees, and 120 degrees) but different side lengths. Therefore, they are similar but not congruent.
write the answer to the nearest cent.
Answer: $158.00
Step-by-step explanation:
Sales tax = $13.49
Amount after tax = $158.49
Rounding off to nearest cent = $158.00
write five expressions: a sum, a difference, a product, a quotient, and one that involves at least two operations that have the value -3/4 (bro what help)
Find the missing fraction.
−1/4÷(xy/)=−1/2
pls help its due at midnight.
Answer:
1/2y
Step-by-step explanation:
x and y do not equal to 0
Answer:
xy=1/2
Step-by-step explanation:
-1/2xy=-1/4
-1/2xy divide by -1/2= -1/4 divide by -1/2