What is the surface area of the cylinder?
Use a = 3.14 and round to the nearest tenth, if needed.
d= 4 cm
8.2 cm
OA) 32.8 cm2
OB) 128.1 cm2
OC) 103 cm2
OD) 422.3 cm?
Answers
[tex] \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}[/tex]
Question :-
A cylinder has a diameter of 4 cm and a height of 8.2 cm. What is the surface area of the cylinder?Answer :-
The surface area of the cylinder is 128.112 cm². Thus, the 2nd option, B makes it as the correct answer.[tex] \rule{180pt}{3pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{2 \: cm}}\put(9,17.5){\sf{8.2 \: cm}}\end{picture}[/tex]
Solution :-
As per the provided information in the given question, we have been given that the diameter of the cylinder is 4 cm. Thus, the radius of the cylinder is 2 cm. The height of the cylinder is 8.2 cm. We have been asked to find or calculate the surface area of the cylinder.
To calculate the surface area of the cylinder, we will use the formula below :-
[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh \:\:}}[/tex]
Substitute the given values into the above formula and solve for surface area:
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh[/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(2 \: cm)^2 + (2)(3.14)(2 \: cm)(8.2\:cm) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(4 \: cm^2) + (2)(3.14)(16.4\:cm^2) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(12.56 \: cm^2) + (2)(51.496 \: cm^2) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 25.12 \: cm^2 + 102.992 \: cm^2 [/tex]
[tex]\sf:\implies \bf{Surface \: Area_{(Cylinder)} = 128.112 \: cm^2}[/tex]
Therefore :-
The surface area of the cylinder is 128.112 cm². Thus, the 2nd option, B makes it as the correct answer.[tex]\\[/tex]
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Related Questions
Find the volume of the cylinder the radius is 4ft and the height is 6 ft
Answers
Answer:
about 301.59
Step-by-step explanation:
You use the volume formula and just plug in the numbers! Hope that was helpful :)
A set of math tests is normally distributed
with a mean of 81 and a standard deviation
of 5. If Adam's z-score was -0.6 and Leah's
z-score was 2.2, how many points higher did
Leah score than Adam?
Answers
2.2-0.6=1.6
1.6*81=129.6
129.6/2=64.8
Answer: 64.8
The Leah score than Adam is, 64.8.
Definition of normal distribution:
A normal distribution is a symmetrical continuous probability distribution in which values are usually clustered around the mean.
Step by step:Adam had a z-score of -0.6 while Leah had a z-score of 2.2.
According, to the question:
[tex]2.2-0.6=1.6\\[/tex]
[tex]1.6[/tex]×[tex]81=[/tex][tex]129.6[/tex]
[tex]\frac{129.6}{2} \\64.8[/tex]
Hence, The Leah score than Adam score are 64.8.
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What is the volume of the regular pyramid?
A. 291 cm^3
B. 336 cm^3
C. 168 cm^3
D. 392 cm^3
Answers
Answer:
Option (B) 336 cm³
Step-by-step explanation:
Height of the Regular Pyramid = 14 cm
Base area of the Regular Pyramid = 1/2 * Side²
Area of the Regular Pyramid = 1/3 * Base area * Height
= 1/3 * 14 * (1/2 * Side²)
= 1/3 * 14 * (1/2 * 12²)
= 1/3 * 14 * (1/2 * 144)
= 1/3 * 14 * 72
= 24 * 14
= 336 cm³
So, Option (B) 336 cm³ is the correct Option.
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SIMPLIFY THE EXPRESSION: 2(4+5v)
PLS HELPPPPP ILL GIVE U BRAINLIEST
Answers
Answer:
8+10v
Step-by-step explanation:
Answer:
8+10v
Step-by-step explanation:
What is 7.123 rounded to the nearest whole number?
Answers
A submarine is descending at a rate of 7 feet per second.
The two variables are:
f = the number of feet the sub descends
s = the number of seconds
The independent variable, [Blank 1 ]
causes a change in
the dependent variable [Blank2].
Opionts for BLANK1
A) The number of secounds.
B) The number of feet the sub descends.
C)The rate the sub descends.
D)The color of the sub.
Options for BLANK2
A)The number of secounds
B) The number of feet the sub descends.
C)The rate the sub descends
D)The color of the sub.
(Help!)
Answers
The independent variable is; A: The number of secounds.
The dependent variable is; B) The number of feet the sub descends.
What is the independent and dependent variable?
A dependent variable depends on another variable in a given data while an independent variable does not depend on any other variable.
We are told that the submarine is descending at a rate of 7 ft/s. Now, this means that for every second, he descends at a rate of 7ft. Thus, the more the number of seconds, the more the distance covered.
Thus, the number of feet depends on the time taken in seconds and such the independent variable is the the number of seconds while the dependent variable is the number of feet the sub descends.
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Answer:
Step-by-step explanation:
Please answer~ 25 points :p
Answers
Answer:
y=15
Step-by-step explanation:
We know that the angles in a triangle add to 180 degrees
∠ABC+∠BAC+∠ACB=180
We don't know what ∠ACB is, but we know it is on a straight line with another angle (∠ACD). They are supplementary, and must add to 180
∠ACB+ ∠ACD=180
∠ACB+146=180
Subtract 146 from both sides
∠ACB=34
Now, we know ∠ABC is 4y+8, ∠BAC is 5y+3 and∠ACB is 34, so we can substitute them in
∠ABC+∠BAC+∠ACB=180
4y+8+5y+3+34=180
Combine like terms
4y+5y+8+3+34=180
9y+45=180
Subtract 45 from both sides
9y=135
Divide both sides by 9
y=15
A youth director for a city's parks and recreations department is planning for next year's program. From a survey of city residents, the director knows that 35% of the population participate in the parks and recreations programs. For a random sample of 40 people, what is standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places?
Answers
Given Information:
Sample size = n = 40
sample proportion = p = 35% = 0.35
Required Information:
standard deviation of sample proportion = σ
Answer:
standard deviation of sample proportion = σ = 0.075
Step-by-step explanation:
Check if the condition np ≥ 10 or n(1 - p) ≥ 10 is satisfied
np ≥ 10
40*0.35 ≥ 10
14 ≥ 10 satisfied
n(1 - p) ≥ 10
40(1 - 0.35) ≥ 10
26 ≥ 10 satisfied
Which means that distribution of sample proportion will have a mean closer to the population proportion.
The standard deviation for sample proportion is given by
[tex]\sigma = \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]\sigma = \sqrt{\frac{0.35(1-0.35)}{40}}[/tex]
[tex]\sigma = 0.075[/tex]
Therefore, the standard deviation for the sampling distribution of the sample proportions is 0.075.
Can you guys please help me
Answers
Answer:
9^2 +12^2 = m^2
81+144=m^2
225=m^2
m=15
The Pythagorean Theorem is a^2 + b^2 = c^2
In this case, your a is 9, your b is 12, and your c is m
Following the boxes:
9^2 + 12^2 = m^2
81 + 144 = m^2
225 = m^2
m = 15
The equation (x+h)(x+5)=0 has solutions of -5 and 6. What is the value of h.
Answers
Answer:
h = -6
Step-by-step explanation:
To solve this problem, plug in the values of either -5 or 6 into the equation for x. Then, simplify. Let's begin by plugging 6 in.
(6 + h)(6 + 5) = 0
I like to use the acronym FOIL for problems like these: first, outside, inside, last.
To start, multiply the first terms, 6 and 6. The answer is 36.
Next, multiply the outside terms, 6 and 5. The answer is 30.
Then, multiply the inside terms, h and 6. The answer is 6h.
Finally, multiply the last terms, h and 5. The answer is 5h.
Add all the products together.
36 + 30 + 6h + 5h = 11h + 66
The equation becomes 11h + 66 = 0.
Now, subtract 66 from both sides to isolate h.
11h = -66
Then, divide both sides by 11 to further isolate h.
h = -6
You have your final answer, h = -6.
Consider this equation:
-2x - 4 + 5x = 8
Generate a plan to solve for the variable. Describe the
steps that will be used.
Combine like terms
Answers
Answer:
x=4
Step-by-step explanation:
Answer:
Solve for the (number or thing that changes), so you need to (separate far from others)/get x by itself
-2x - 4 + 5x = 8 First I want to combine like terms (-2x and 5x)
-4 + 3x = 8 (Add 4 on both sides)
3x = 12 Then divide 3 into both sides to get x by itself
x = 4
Combine like terms (add the 5x to the -2x to get 3x). Move the -4 to the other side to get 3x= 12. Divide both sides by 3 to get x=4. Apply the addition property of (a state where all things are equal), Apply the division property of (a state where all things are equal) to divide both sides by 3, Finally, check the solution by substituting 4 into the original equation.
*PLEASE MAKE TEXT INTO OWN WORDS IF POSSIBLE
Eve knits scarves for her online store. This week she has already knitted 9 scarves. There are 2 days left in the work week. She set
a goal for herself to knit at least 15 scarves and at the most 21 scarves this week Eve wants to know how many scarves she
should knit each day to meet her goal
Which inequality represents the given situation?
Answers
Final answer:
Eve should knit between 3 and 6 scarves each day for the remaining 2 days to meet her goal of knitting at least 15 and at most 21 scarves for the week. The inequality that represents this situation is 3 \<= x \<= 6.
Explanation:
Eve has knitted 9 scarves and wants to knit at least 15 and at most 21 scarves for the week. With 2 days of the workweek left, we need to find out how many scarves she should knit each day to meet her goal. Let's denote x as the number of scarves Eve knits each day for the next two days.
Since Eve has already knitted 9 scarves and wants to knit at least 15, the minimum number of additional scarves she needs to knit is 15 - 9 = 6. So, in 2 days, she must knit at least 6 scarves. This gives us the inequality 2x ≥ 6.
Similarly, the maximum number of scarves Eve aims to knit is 21. Therefore, the maximum number of additional scarves she can knit is 21 - 9 = 12. This leads us to the inequality 2x ≤ 12.
Combining both inequalities, we get 3 ≤ x ≤ 6, which tells us that Eve needs to knit between 3 and 6 scarves each day to meet her goal.
An airplane pilot jumps out of an airplane and has an initial velocity of 32 feet per second downwards. How long does it take to fall from 1000 feet to 760 feet before the parachute opens?
Answers
Answer:
3 seconds
Step-by-step explanation:
Downwards positive
a = 32
s = 1000 - 760 = 240
s = ut + ½at²
240 = 32t + 16t²
t² + 2t - 15 = 0
t² + 5t - 3t - 15 = 0
t(t + 5) - 3(t + 5) = 0
(t - 3)(t + 5) = 0
t = 3, -5
By applying the equation of motion, we can determine that under the conditions specified in the question, it would take about 4.3 seconds for a pilot to fall from 1000 feet to 760 feet.
Explanation:The question regards the time it takes for a pilot to fall a certain distance with a given initial velocity. The situation can be treated as a free fall, because while in the air the only force the pilot is subjected to (neglecting air resistance) is gravity. The key formula we need is the equation of motion d = vt + 0.5[tex]at^2[/tex],
where:
d is the distance fallen
v is the initial velocity
a is the acceleration due to gravity (9.8[tex]m/s^2[/tex])
t is the time
In this case, the distance d is 1000ft - 760ft = 240ft (73.152m), the initial velocity v is 32 ft/s (9.75m/s downwards).
Plugging these values into the equation, we get 73.152m = 9.75m/s *t + 0.5*(-9.8[tex]m/s^2[/tex])*[tex]t^2[/tex], which can be rearranged and solved to get t = 4.3s.
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Hola cockeroaches, answer this again
Answers
Answer:
5- 48
6- 1.5
7-324
Step-by-step explanation: You have to plug in the numbers for the variables
a times c = 12 times 4 =48
1/2 times B= 1/2 times 3= 3/2 = 1/5
A times b times d = 12 times 3 times 9 = 324
bonnie runs 1 2/3 times as far as john each day if bonnie runs 5 miles on monday 3 1/2 miles on tuesday and 5 3/4 miles on wednesday how many miles did john run in all those three days
Answers
Answer:
3 miles on Monday
2¹/₁₀ miles on Tuesday
3⁹/₂₀ miles on Wednesday
Step-by-step explanation:
We are told that Bonnie runs 1⅔ (⁵/₃) times as far as John each day
This means that John runs ³/₅ times as far as Bonnie.
MONDAY:
Bonnie runs 5 miles on Monday, therefore, John runs:
³/₅ * 5 = 3 miles
TUESDAY:
Bonnie runs 3½ (⁷/₂) miles on Tuesday, therefore, John runs:
³/₅ * ⁷/₂ = ²¹/₁₀ = 2¹/₁₀ miles
WEDNESDAY:
Bonnie runs 5³/₄ (²³/₄) miles on Wednesday, therefore, John runs:
³/₅ * ²³/₄ = ⁶⁹/₂₀ = 3⁹/₂₀ miles
A line that is parallel to y - x = 8 would have a slope of:
Answers
Answer:
1
Step-by-step explanation:
Rearrange y-x=8 to y=x+8
parallel lines have the same slope
so lines slope is 1
5) Jane likes to exercise daily. The table on the Google Doc shows the number of
calories y she burns by exercising steadily for x minutes. How many calories
would she burn by exercising for 29 minutes? *
Answers
Answer:
29xy
Step-by-step explanation:
Answer:
319
Step-by-step explanation:
just because work I don't wanna type
Please help quickly!
Answers
Answer: A
Step-by-step explanation:
A is the answer because as you see husband age had went up and never stopped
How do the slopes of the lines created by each table compare?
Answers
Answer:
The Correct Answer is B
Step-by-step explanation:
Answer:
The correct answer is B. The slope of the Wholesale table is Three-fourths of the slope of the Public table.
Step-by-step explanation:
help me with these 3 questions please. aH-
Answers
Answer:
1) 2/7; 43; 3/7
2) C
3) 30; 30; 10; is not; 10; is not
Step-by-step explanation:
1) y + 4/7 = 6/7
y = 6/7 - 4/7
y = 2/7
17 + b = 60
b = 60 - 17
b = 43
6/7 = m + 3/7
m = 6/7 - 3/7
m = 3/7
2) 11.5 - x = 5.25
x = 11.5 - 5.25
x = 6.25
3) he can substitute 30 for t.
He can then multiply ⅓ by 30 to get a product of 10 (⅓ × 30 = 10).
Since 15 is not equal to 10, Harry's solution is not correct
What is the slope of a line perpendicular to y= -5/6x-7?
a. -6/5
b. 6/5
c. -5/6
d. 5/6
Answers
Answer:
it's B
Step-by-step explanation:
Trust me
z/8 + 2 = -15
The solution is z = ______.
Answers
Look at the attached picture⤴
Hope it will help u..
Answer:
Z = -136
Step-by-step explanation:
z/8 + 2 = -15
-2 -2
Z/8 = -17
Z/8 X 8 -17 X 8
Z = -136
Which of the following graphs shows a pair of lines that represent the equations with a solution (−2, 5)?
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 2 units to the right and 5 units down.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 5 units to the right and 2 units down.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 5 places to the left and 2 units up.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 2 units to the left and 5 units up.
Answers
Answer:
Substitution.
Step-by-step explanation:
x+y=2
y=-x+2
2x+(-x+2)=4
x=2
(2)+y=2
y=0
Solution: (2,0)
Answer:
subsitution
Step-by-step explanation:
5 2/8-3 7/8=? I need help plzz
Answers
Answer:
1 3/8
Step-by-step explanation:
5 2/8 - 3 7/8
= 42/8 - 31/8
= 11/8
= 1 3/8
Make it as the brainliest
Answer:
1 3/8
Step-by-step explanation:
(5 +2/8) -(3 +7/8) = (5 -3) +(2/8 -7/8)
= 2 - 5/8 = 1 3/8
__
It is often convenient to do the arithmetic separately for the integers and the fractions, then combine the results.
Of course, you know that 1 = 8/8 so subtracting 5/8 gives you 3/8.
Translate this phrase into an algebraic expression:
500 increased by twice Matt's savings
Use the variable m to represent Matt's savings.
Answers
Answer:
500 +2m
Step-by-step explanation:
500 "increased by" "twice Matt's savings"
translates to ...
500 + 2m
__
Your algebraic expression is ...
500 +2m
Answer:
500 + 2m
Step-by-step explanation:
m represents Matt's savings. So 2m is twice that.
500 increased by that means add them, so you get 500 + 2m
Which statements are true regarding the sequence below? Check all that apply.
It can be represented using the formula f(x + 1) = 5 (f) when f(1) = 10.
It can be represented using the formula f(x) = 4 6 *.
It can be represented using the formula fx) = 10 (6)*-.
The domain of the sequence is all real numbers.
The range of the sequence is all natural numbers.
Answers
It’s a and c
Step-by-step explanation:
The true statements about the given geometric sequence are as follows:
A) It can be represented using the formula f(x + 1) = 6/5(f(x)) when f(1) = 10/3.
C) It can be represented using the formula f (x) = 10/3(6/5)/\x-1
What is geometric series?The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The given sequence is as follows:
10/3, 4, 24/5, 144/25, ...
The sequence is a geometric sequence with a common ratio of 6/5.
The first term is 10/3, so we can use the formula f(x + 1) = (6/5)(f(x)) to represent the sequence.
We have
f(x) = 10/3
Also, for f(x+1) we can have
x = 1,
f(1)= 10/3
f(2)= 4
So, f(x + 1) = 6/5(f(x))
Thus, the correct options are A and C.
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The complete question is as follows:
Which statements are true regarding the sequence below? Check all that apply.
10/3, 4, 24/5, 144/25, ...
A) It can be represented using the formula f(x + 1) = 6/5(f(x)) when f(1) = 10/3.
B) It can be represented using the formula f (x) = 4 (6/5) /\x.
C) It can be represented using the formula f (x) = 10/3(6/5)/\x-1
D) The Domain of the sequence is all real numbers
E) The range of the sequence is all natural numbers.
Find the unit rate.
18 books in 3 boxes = (
books per box
Answers
Answer:
Step-by-step explanation:15 books in 3 boxes =
books per box
Final answer:
The unit rate of 18 books in 3 boxes is 6 books per box, which is obtained by dividing the total number of books by the total number of boxes.
Explanation:
To find the unit rate of books per box when you have 18 books in 3 boxes, you need to divide the total number of books by the total number of boxes. This is a simple division problem:
Write down the number of books and the number of boxes: 18 books, 3 boxes.Divide the number of books by the number of boxes: 18 \/ 3 = 6 books per box.So, the unit rate is 6 books per box.
need math help!! answer choices are 80 , 40, 20, and 60
Answers
Answer:
60
Step-by-step explanation:
The corresponding angles of the triangles are given, y + 10 and 2y - 40. You need to first find the value of the variable (in this case, y), and to do this, you need to set them equal to one another:
y + 10 = 2y - 40
Subtract y from both sides:
y + 10 = 2y - 40
-y -y
____________
10 = y - 40
Add 40 to both sides:
10 = y - 40
+40 +40
________
50 = y
Now that we have the value of y, you need to plug the value into one of the expressions (either one will come out with the same answer):
y + 10
50 + 10 = 60
OR
2y - 40
2(50) - 40
100 - 40 = 60
Finding Leg Lengths. Find the length of a leg in the 45°-45°-90°
triangle.
Answers
Answer:
12. [tex]x=10[/tex]
13. [tex]x=4[/tex]
14. [tex]x=5[/tex]
15. [tex]x=1[/tex]
16. [tex]x=8[/tex]
17. [tex]x=14[/tex]
Step-by-step explanation:
for these i also used the pythagorean theorem ([tex]a^{2}+b^{2}=c^{2}[/tex])
[tex]a[/tex] and [tex]b[/tex] are the legs, [tex]c[/tex] is the hypotenuse
12.
[tex]x^{2} +x^{2} =(10\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =200[/tex]
[tex]x^{2} =100[/tex]
[tex]x=10[/tex]
13.
[tex]x^{2} +x^{2} =(4\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =32[/tex]
[tex]x^{2} =16[/tex]
[tex]x=4[/tex]
14.
[tex]x^{2} +x^{2} =(5\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =50[/tex]
[tex]x^{2} =25[/tex]
[tex]x=5[/tex]
15.
[tex]x^{2} +x^{2} =(\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =2[/tex]
[tex]x^{2} =1[/tex]
[tex]x=1[/tex]
16.
[tex]x^{2} +x^{2} =(8\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =128[/tex]
[tex]x^{2} =64[/tex]
[tex]x=8[/tex]
17.
[tex]x^{2} +x^{2} =(14\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =392[/tex]
[tex]x^{2} =196[/tex]
[tex]x=14[/tex]
)) Matt's bill for breakfast at a restaurant was $91. He left an 18% tip. What was the total
cost of his breakfast, including tip?
Answers
Answer:
$107.38
Step-by-step explanation:
$91 (the price) multiplied by the percentage 18% (91 x 18 = 1630) (1638/100=16.38 [the tip})
$91 (th original price) + 15.38 (the tip) = $108.38 (final price)