Answers
The surface area of the cylinder with height 7cm and radius 4cm is approximately 88π cm²
What is surface area?Surface area is the measure of the total area that the surface of an object occupies. It includes the area of all faces, sides, and curves.
What is cylinder?a cylinder is a three-dimensional shape with a circular base and straight parallel sides that connect to a circular top. Its volume can be calculated as the product of the base area and height.
According to the given information :
To find the surface area of a cylinder using a net, we need to "unwrap" the cylinder into a flat shape, which will consist of a rectangle and two circles. The area of the rectangle will be the lateral area of the cylinder, and the area of the two circles will be the top and bottom areas of the cylinder.
The lateral area of the cylinder is given by the formula:
Lateral Area = 2 x π x r x h
where r is the radius of the cylinder, and h is the height of the cylinder.
The top and bottom areas of the cylinder are each given by the formula:
Top/Bottom Area = π x r²
where r is the radius of the cylinder.
Using the given dimensions, we can calculate the surface area of the cylinder as follows:
Lateral Area = 2 x π x 4cm x 7cm = 56π cm²
Top/Bottom Area = π x 4cm² = 16π cm²
Total Surface Area = Lateral Area + 2 x Top/Bottom Area
Total Surface Area = 56π cm² + 2 x 16π cm² = 88π cm²
Therefore, the surface area of the cylinder with height 7cm and radius 4cm is approximately 88π cm²
To know more about Surface Area and cylinder visit :
https://brainly.com/question/22074027
#SPJ1
Related Questions
Looking at the labeled information in the figure below, create a statement that details a pair of angles (not already labeled) that are congruent because of corresponding parts of congruent
triangles
(Name the vertices in each angle in alphabetical order)
B
A
lion dose
Answers
Answer:
In triangles ΔBAE and ΔCED, which are congruent triangles, ∠ DBA is congruent to ∠CDB because corresponding parts of congruent triangles are Congruent, (CPCTC)
Step-by-step explanation:
The given information are;
In triangle ΔBAE and ΔCED, ∠EAB Alternate angles)is congruent to ∠ECD (
∠CED is congruent to ∠AEB (Vertically opposite angles)
Segment \(\overline {BA}\) is congruent to segment \(\overline {DC}\) (Given)
Therefore;
Triangle ΔBAE is congruent to ΔCED (Angle Angle Side AAS congruency rule)
Therefore, ∠ DBA is congruent to ∠CDB (Corresponding Parts of Congruent Triangles are Congruent, (CPCTC))
Plot the following points and check whether they are collinear or not:
(1) (-1,0), (0, 1), (2,3)
(ii) (1, 1), (2, -3), (-1,-2)
(
1
Answers
9514 1404 393
Answer:
(i) collinear
(ii) not collinear
Step-by-step explanation:
See attached for a plot of the points and the connecting lines.
(i) collinear
(ii) not collinear
Use the algebraic definition of a derivative (forward difference quotient) to demonstrate that the power rule dxd(xn)=nxn−1 is true when a. n=3 b. n=−1 c. n=21
Answers
a. d/dx(x^3) = 3x^2, which is the power rule for n = 3. b. d/dx(x^-1) = -x^-2, which is the power rule for n = -1. c. d/dx(x^21) = 21x^20, which is the power rule for n = 21.
(a) Let's use the forward difference quotient definition of a derivative to show that the power rule holds true for n = 3.
f(x) = x^3
f'(x) = lim(h→0) [f(x+h) - f(x)]/h
= lim(h→0) [(x+h)^3 - x^3]/h
= lim(h→0) [3x^2h + 3xh^2 + h^3]/h
= lim(h→0) [3x^2 + 3xh + h^2]
= 3x^2, since h approaches 0
So, d/dx(x^3) = 3x^2, which is the power rule for n = 3.
(b) Let's use the same approach for n = -1.
f(x) = x^-1
f'(x) = lim(h→0) [f(x+h) - f(x)]/h
= lim(h→0) [(x+h)^-1 - x^-1]/h
= lim(h→0) [1/(x+h) - 1/x]/h
= lim(h→0) [x - (x+h)]/[x(x+h)h]
= lim(h→0) [-h]/[x(x+h)h]
= -1/x^2, since h approaches 0
So, d/dx(x^-1) = -x^-2, which is the power rule for n = -1.
(c) Lastly, let's use the same approach for n = 21.
f(x) = x^21
f'(x) = lim(h→0) [f(x+h) - f(x)]/h
= lim(h→0) [(x+h)^21 - x^21]/h
= lim(h→0) [21x^20h + ... + h^21]/h
= lim(h→0) [21x^20 + ... + h^20]
= 21x^20, since h approaches 0
So, d/dx(x^21) = 21x^20, which is the power rule for n = 21.
Learn more about power rule here
https://brainly.com/question/29288036
#SPJ11
The figure below shows a line graph and two shaded triangles that are similar:
-20-16-12-8-40
-1
4 8 12 16 20
Which statement about the slope of the line is true?
The slope from point o to point A is one-fourth times the slope of the line from point A to point B.
The slope from point o to point A is four times the slope of the line from point A to point B.
Olt is throughout the line
It is -4 throughout the line.
Answers
Answer:
It is - \(\frac{1}{4}\) throughout the line
Step-by-step explanation:
The points O, A and B lie on the line and so the slope will be the same for OA, OB and AB
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = B(- 12, 3) and (x₂, y₂ ) = O(0, 0)
m = \(\frac{0-3}{0+12}\) = \(\frac{-3}{12}\) = - \(\frac{1}{4}\)
Thus the slope is - \(\frac{1}{4}\) throughout the line.
To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month. Write an equation for the cost (y) based on the number of months.
a. y = 25x + 100
b. y = 100x + 25
c. y = 25 + 100x
d. y = 100 + 25x
Answers
The correct answer is option A which is y = 25x + 100.
Given the following:
To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month
We need to write an equation for the cost (y) based on the number of months.
To solve the above problem, the answer is;a. y = 25x + 100
Explanation; Let's break down the problem
The $100 sign-up fee is a fixed cost that is added only once to the monthly fee which is $25. Thus the equation for the cost (y) based on the number of months can be expressed as; y = 25x + 100 where:y is the cost for the number of monthsx is the number of months
Therefore the correct answer is option A which is;y = 25x + 100.
To know more about equation visit:
https://brainly.com/question/29174899
#SPJ11
To join a local square dancing group,
Jan has to pay a $100 sign-up fee plus $25 per month.
The equation for the cost (y) based on the number of months is
y = 25x + 100,
where x is the number of months.
Option A is the correct equation for the cost based on the number of months.
Writing the equation:
y = 25x + 100
Where:
y = Cost based on the number of months
x = Number of months
Therefore, when Jan has been part of the local square dancing group for 1 month, the total cost will be:
$25 * 1 + $100 = $125
And if Jan has been a part of the group for 4 months, then the total cost would be:
$25 * 4 + $100 = $200
Therefore, option A is the correct answer.
To know more about number, visit:
https://brainly.com/question/3589540
#SPJ11
PLEASE HELPPPP
Juan is saving $1.00 of his allowance each week to buy a new hat that costs $20.00. He has saved for five weeks. Which fractional part of the total cost of the new hat has Juan saved?
A. 3/5
B. 1/5
C. 1/4
D. 3/4
Answers
The fractional part of the total cost of the new hat has Juan saved is the one in option C, F = 1/4.
Which fractional part of the total cost has Juan saved?We know that the total cost of the new hat that Juan wants is $20.00, and we also know that Juan is saving $1.00 of his allowance each week.
So after 5 weeks the amount that he has saved is:
5*$1.00 = $5.00
To get the fractional part of the total cost that has Juan saved, we need to take the quotient between the amount that Juan has and the total cost of the hat, we will get:
F = $5.00/$20.00 = 1/4
So the correct option is C.
Learn more about quotients:
https://brainly.com/question/629998
#SPJ1
Need help
What is the
equation of the line that is perpendicular to the line = u + 10 and passes through the point (15,-5)?
Answers
I think the answer is y= -5/3x+20
Need help thanks please :)
Answers
Answer:
t:
\( \infty , - \infty \)
meaning any number can substitute t and it would be the same answer.
Helppppppppppppppppp
Answers
Answer:
B
Step-by-step explanation:
You can see B has the points kind of clustered around it.
Select the correct answer.
Which equation represents a circle?
Answers
Answer:
C
Step-by-step explanation: each side by 4 and you get the radius as 2 and the center at 0,0.
Answer: C
Step-by-step explanation: I got this right on Edmentum.
a fair, six-sided die is rolled repeatedly until either two prime numbers or two even numbers are rolled. what is the expected number of ones that are rolled?
Answers
The probability number of times to roll the number cube to result in a prime number 12 times is 24
How to determine the number of times?
The given parameters are:
Number cube = 6 sides
Number of times= 12
The probability of obtaining a prime number in a six-sided die is:
P(Prime) = 3/6
The number of times (n) is then calculated as:
p * n = 12
Substitute known values
3/6 * n = 12
Evaluate the fraction
1/2 * n = 12
Multiply both sides by 2
n = 24
Hence, the number of times is 24
Read more about probability at:
brainly.com/question/251701
#SPJ4
Put the steps in order for solving a linear system graphically
Answers
The correct steps are shown below
1) Write each equation in a form that is easy to graph, many students prefer slope-intercept form
2) Graph the equations as accurate as possible
3) Look at the graph and see where the lines intersect
4) Check the solution algebraically by substituting the answer into both equations
The option is 1234
Enter the missing value needed to find the length of CB make sure to simplify your answer
Answers
6b
We are given the distance formula on the bottom in red which we can use to find the distance of CB. The formula tells us that we first need to substract the x-values of the two points and the y-values of the two points. When we substract the x-values of the two points, we get 4a, as given in the problem, the calculation would be as follows:
3a - (-a) = 3a + a = 4a
Now, we need to find the difference between the y-values in the same way, by substracting y1 from y2. In this case, y2 refers to the y-coordinate of point B while y1 refers to the y-coordinate of point C. The calculation is as follows:
b - (-5b) = b + 5b = 6b
Our final answer is 6b
What is the sum?
X
3
2
+
X+3 x+3 x+3
O
+
colch
53
X+5
X+3
X+5
3x+27
6x
X+3
Answers
The outcome or result of adding two or more integers is known as the SUM.
What is a sum?The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.
the sum of two or more numbers, magnitudes, quantities, or specifics as determined by or as though decided by the addition process in mathematics.
The outcome of adding two or more numbers, objects, or things is referred to in mathematics as the sum.
The result or solution we obtain from adding two or more integers is known as the SUM. Addends are the figures that are combined.
\(Simplify $\frac{x}{x+3}+\frac{3}{x+3}+\frac{2}{x+3}: \frac{x+5}{x+3}$Steps$$\frac{x}{x+3}+\frac{3}{x+3}+\frac{2}{x+3}$$Apply the fraction rule: $\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$$$=\frac{x+3+2}{x+3}$$Add the numbers: $3+2=5$$$=\frac{x+5}{x+3}$$\)
Therefore, the correct answer is option b) \($=\frac{x+5}{x+3}$\)
To learn more about sum refer to:
https://brainly.com/question/25734188
#SPJ1
please ill give brainliest if correct
What is an equation of the line that passes through the point (-1,4) and is parallel to the line x+y=4x?
Answers
Answer:
Y= 14x+5
Step-by-step explanation:
algorithm workbench 5 - void and value-returning function set-up, implementation and documentation
Answers
1. Set up: To set up a void function, define it with the keyword "void" in the function signature, such as void functionName(). For a value-returning function, specify the return type in the function signature, such as dataType functionName().
2. Implementation and Documentation: In the implementation of the void function, write the necessary code to perform the desired actions. For a value-returning function, include a return statement to return the desired value. Properly document the function by providing a meaningful function name, describing the purpose of the function, and specifying any input parameters and the return value (if applicable).
1. Set up: To set up a void function, use the keyword "void" in the function signature. For example:
c++
void functionName()
This indicates that the function does not return a value. For a value-returning function, specify the return type in the function signature. For example:
c++
dataType functionName()
Replace dataType with the desired data type to be returned by the function.
2. Implementation and Documentation: In the implementation of a void function, write the necessary code to perform the desired actions. This can include any sequence of statements or function calls.
For a value-returning function, include a return statement to specify the value to be returned. For example:
c++
dataType functionName()
{
// Code to perform calculations or operations
return result; // Replace "result" with the actual value to be returned}
In both cases, it is crucial to provide proper documentation for the function. This includes choosing a meaningful name for the function, describing the purpose or functionality of the function, specifying any input parameters and their types, and indicating the return value (if applicable). This documentation helps other developers understand and use the function correctly.
By following these steps, you can effectively set up, implement, and document void and value-returning functions in your code.
To learn more about Algorith Workbench 5
brainly.com/question/32143886
#SPJ11
Which statement is true?
A. 1/5 > -1/5
B. 3.069 > 3.6
C. -2/15 < -2.5
D. 4/9 > -4.9
Answers
Answer:
A) 1/5>-1/5
Step-by-step explanation:
If your heart beats an average of 120 times per minute during a distance race, how many times would your heart beat during a race of 12 hours?
Answers
Answer:
I think the answer you're looking for is 86400
Step-by-step explanation:
This is just a test question I’m new
What’s
2+2
4+4
8+8
Answers
Answer:
4,8,and 16
Step-by-step explanation:
Two dice are rolled. What is the probability of having both faces the same (doubles) or a total of 4 ? round to the nearest hundreth.
Answers
When two dice are rolled, the probability of having both faces the same (doubles) or a total of 4 is 0.33 (rounded to the nearest hundredth). The probability of getting a double is 1/6 since there are 6 possible outcomes for the first die and 1 outcome for the second die that will result in a double.
Similarly, the probability of getting a total of 4 is 1/12, since there are three ways to get a total of 4: (1,3), (2,2), and (3,1). Therefore, the probability of getting either doubles or a total of 4 is P(doubles or total of 4) = P(doubles) + P(total of 4) - P(doubles and total of 4)= (1/6) + (1/12) - (1/36)= 0.33 (rounded to the nearest hundredth).
Therefore, the probability of having both faces the same (doubles) or a total of 4 when two dice are rolled is 0.33.
Learn more about probability at https://brainly.com/question/28105230
#SPJ11
Which of the following is divisible by 3?
a) 10
b) 24
c) 67
d) 555
Answers
Answer:
24, 555 are answer of this question.
Step-by-step explanation:
2+4=6 (3×8)
5+5+5=15 (15 is divisible by 3 ).
Answer:
B and D
Step-by-step explanation:
24 divided by 3 equals 8
555 divided by 3 equals 185
3 does not divide equally into 24 or 67
HOPE THIS HELPS <33333
-Silver
Find the value for the given variables. Give the variables in simplest radical form. (square root form)
Answers
Answer:
Step-by-step explanation:
for y
take 60 degree as reference angle
using sin rule
sin 60=opposite /hypotenuse
\(\sqrt{3}\)/2=11
22\(\sqrt{3}\)/
22=y
for x
take 60 degree as reference angle
using cos rule
cos 60=adjacent/hypotenuse
1/2=x/11\(\sqrt{3}\)
2x=11\(\sqrt{3}\)
x=11\(\sqrt{3}\)/2
x=9.52
x=10
What is the mode interval for the histogram? 50 - 59 90 - 100 80 - 89 10
Answers
Answer:
mode = 90 - 100Step-by-step explanation:
because ( 90 - 100 ) frequency is greater than all other intervals.
The mode interval for the histogram is (90 - 100).
Option B is the correct answer.
What is a histogram?A histogram is a representation of the distribution of data with intervals.
We have,
Mode interval in a histogram is the interval in which the values of the data occur the most.
Now,
From the histogram, we see that,
The interval (90 - 100) has the most date values.
Thus,
The mode interval is (90- 100).
Learn more about histograms here:
https://brainly.com/question/16819077
#SPJ2
in order to estimate the mean age to be diagnosed with diabetes, a researcher takes a sample and finds the mean age to be 16.4. what type of statistical inference is this?
Answers
Answer:
This is a type of statistical inference known as a measure of center
In phase 2 of a three-phase clinical trial to test the efficacy of the BNT163b2 mRNA vaccine for COVID-19, participants were randomly assigned to receive either the vaccine or a placebo. In the placebo group, 18,325 participants with no evidence of infection received placebo injections and 162 eventually contracted COVID-19. Of the 18,198 participants with no evidence of infection who received the vaccine, 8 eventually contracted COVID-19. Conventional wisdom suggested that the infection rate for COVID-19 was about 3%. Assume that the 18,325 people who received the placebo represent a simple random sample of all people with no prior evidence of infection and have not been vaccinated. Let's say you carry out a hypothesis test of significance to determine if there is evidence from this sample that the proportion of unvaccinated people who catch the virus is not 0.03. Compute the one-sample z- statistic. Give your answer to at least one decimal place.
Answers
The one-sample z-statistic for evaluating the hypothesis that unvaccinated people get COVID-19 is not 0.03 is -85.7. This statistic tested the hypothesis that unvaccinated people do not get COVID-19 at 0.03%.
In order to compute the one-sample z-statistic, we must first do a comparison between the observed proportion of COVID-19 instances in the placebo group and the expected proportion of 0.03. (p - p0) / [(p0(1-p0)) / n is the formula for the one-sample z-statistic. In this formula, p represents the actual proportion, p0 represents the predicted proportion, and n represents the sample size.
The observed proportion of COVID-19 instances among those who received the placebo is 162/18325 less than 0.0088. According to the received wisdom, the proportion that should be anticipated is 0.03. The total number of people sampled is 18325. After entering these numbers into the formula, we receive the following results:
z = (0.0088 - 0.03) / √[(0.03(1-0.03)) / 18325] ≈ (-0.0212) / √[(0.0291) / 18325] ≈ -85.7
As a result, the value of the z-statistic for just one sample is about -85.7. This demonstrates that the observed proportion of COVID-19 cases in the unvaccinated population is significantly different from the expected proportion of COVID-19 cases in that population.
Learn more about z-statistic here:
https://brainly.com/question/30904553
#SPJ11
PLS ANSWER THIS PHOTO
Answers
Answer:
D
Step-by-step explanation:
That is how you multiply properly
Answer:
I believe it would be D
Step-by-step explanation:
It would be the best way to split up the numbers to better answer the question
Mrs Kowski‘s art class has a total of 35 students in rolled 35 students are girls what percentage of the class is made of a boys
Answers
Answer:
0%
Step-by-step explanation:
35 students only in her class and ALL 35 are girls!! No boys! 0% no boys
Melissa the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 5 clients who did Plan A and 3 who did Plan B. On Thursday there were 2 clients who did Plan A and 12 who did Plan B. Melissa trained her Wednesday clients for a total of 7 hours and her Thursday clients for a total of 19 hours. How long does each of the workout plans last? LengthofeachPlanAworkout:hour(s) LengthofeachPlanBworkout:hour(s)
Answers
Let Length of each Plan A workout be \( a\)
and Length of each Plan B workout be $b$
on Wednesday,
$5a+3b=7$
$2a+12b=19$
multiply equation one by $4$ and subtract equation two from it
to get,
$18a=9$ or $a=\frac12$
substitute $a$ in eq 2. to get $b$, $12b=18\implies b=\frac32$
i need help with thissss
Answers
Answer:
#4 is option one 18 miles
Step-by-step explanation:
Write 640 g as a fraction of 4.8 kg. Give your answer in its simplest form,
Answers
Answer:
Step-by-step explanation:
640g=640g
4.8kg=4800g
640g/4800g=2/15