Answers
Answer:
376.8 cm²
Step-by-step explanation:
Given:
Radius of circular base: 4 cmHeight of cylinder: 11 cmSurface area = 2πrh + 2πr²
[Where "r" and "h" represents the radius and the height respectively]
Let's substitute the height and the radius in the formula and simplify it.
[tex]\implies 2\pi rh + 2\pi ^{2}[/tex]
[tex]\implies 2\pi (4)(11) + 2\pi (4)^{2}[/tex]
[tex]\implies 2\pi (44) + 2\pi (16)[/tex]
[tex]\implies 88\pi + 32\pi[/tex]
We can factor π out of the expression. Therefore, we get:
[tex]\implies 88\pi + 32\pi[/tex]
[tex]\implies \pi (88 + 32)[/tex]
Now, simplify the expression inside the parentheses.
[tex]\implies \pi (88 + 32)[/tex]
[tex]\implies \pi (120)[/tex]
The value of π, we are given, is 3.14. When substituted, we get:
[tex]\implies \pi (120)[/tex]
[tex]\implies 3.14(120) = 31.4(12) = \boxed{376.8 \ \text{cm}^{2} }[/tex]
Therefore, the surface area of the cylinder is 376.8 cm².
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Related Questions
Help me solve this question
-2 1/3 - ( - 5) = ?
Answers
Answer:
2 2/3
Step-by-step explanation:
-2 1/3 - ( - 5)
We are subtracting a negative which is like adding
-2 1/3 + ( 5)
The signs are different so we subtract and take the sign of the larger
5 - 2 1/3
Borr from the 5
4 3/3 - 2 1/3
2 2/3
The sign of the larger was positive so the answer is positive
2 2/3
Pls, look at the picture for the question.
Answers
Answer:
Step-by-step explanation:
Answer
When you put this into your calculator, you get - 7.2111. The closest point to that is L.
Answer: -7.2111 is closest to L
Explanation: Once being put in a calculator, it’ll come out as “-7.2111055”.
L is closest to -7.2.
What is the height of the trapezoid?
Answers
Answer:
11 units
Step-by-step explanation:
The height of a trapezoid is the distance between the parallel bases.
__
Here, one base lies on the horizontal line y=5, and the other lies on the horizontal line y = -6. The distance between them is ...
5 -(-6) = 5 +6 = 11
You can also find this distance by counting the grid squares between the two parallel lines.
The height of the trapezoid is 11 units.
_____
Additional comment
The base lengths are ...
AB = 2 -(-5) = 7
CD = 8 -(-7) = 15
The area is 1/2(b1 +b2)h = (1/2)(7 +15)(11) = 121 square units.
In a house, there is a small statue in the shape of a cylinder. The cylinder has a diameter of 8 inches and a height of h inches
Which equation can be used to find V, the volume of the cylinder in cubic inches?
Answers
The equation that best represent the volume of the cylinder in cubic inches is V = π4²h.
What is a cylinder?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi.
Given that;
Diameter d = 8inRadius r = d/2 = 8in/2 = 4inHeight = hVolume of the cylinder V = ?V = π × r² × h
V = π × (4)² × h
V = π4²h
Therefore, the equation that best represent the volume of the cylinder in cubic inches is V = π4²h.
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The points P(6,-3), Q(-2,3), R(-5, -1), and S(3,-7) form quadrilateral PQRS. what type of quadrilateral is it?
Answers
What is the formula that relates circumference and radius?
O A. C+ 2 = 21
O B. C = 277 Dr O C. C= 2ter O D. C= 20/1
HELP QUICK!!!!
Answers
Answer:
C = 2πr
Step-by-step explanation:
The circumference of a circle is calculated by the formula here,
C is the circumference of the circle.
r is the radius of the circle.
π is 22/7 or 3.14.
In the given options π is not missing.
Therefore the formula that relates circumference and radius is C = 2πr.
Answer:
C=2πr
Step-by-step explanation:
C =2πr is the formula to calculate circumference of a circle
Where
C=Circumferencer is radiusπ has Approx value 3.141
If the figures shown are congruent, what is the value of x? (Hint: The sum of the three angles of any triangle is 180°.)
Answers
What is the unit rate of 400 miles in 8 hours?
Answers
Answer: 50 miles/hour!! ^^
what is 1+1? please provide a long sentence stating why it is correct
Answers
Answer:
[tex]1 + 1 = 2[/tex]
Step-by-step explanation:
1 + 1 is equal to 2 because it is- at least that's what we believe the answer to be. It doesn't have to, but it is just what we as humans have come to recognize because it is internationally accepted.
Heck, you don't need to be a genius to understand that when you inherently have exactly one more of a thing, you have more of it. Numbers are just a way to represent more (or less if we're talking negatives). Now, we'll probably never understand why mathematics is so beautifully synchronized with our world, but it is, and we as a sentient species have come to recognize that for the longest time.
Numbers are abstract, as long as you are consistent, anything can be a number if you give it value. [tex]1+1[/tex] doesn't have to equal [tex]2[/tex], if we wanted we could make it equal to [tex]:)[/tex]. [tex]1 + 1 =\ :)[/tex]
Whether we are solving basic algebra:
[tex]:)x + 4 = 10\\:)x = 6\\x = \frac{6}{:)} =3[/tex]
Or calculating integrals:
[tex]\int\limits^{0.5}_{0} {8xe^{:)x}} \, dx\\= \frac{xe^{:)x}}{:)}-\int\limits{\frac{e^{:)x}}{:)}} \, dx\\= 4xe^{:)x} - :)e^{:)x} + C = (4x-:))e^{:)x} + C\\=(4x-:))e^{:)x}|^{0.5}_{0}\\= (4(0.5)-:))e^{:)(0.5)} - (4(0)-:))e^{:)(0)}\\= :)[/tex]
[tex]1+1[/tex] will always be whatever [tex]1+1[/tex] is.
Hopefully, I didn't get too philosophical lol.
what is the solution to this inequality x over 10 +6 >8 x<74 x>74
Answers
The solution of the given inequality is x/10 + 6 ≥ 8 will be x ≥ 20.
What is inequality?
Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given inequality is:-
x / 10 + 6 ≥ 8
Put the value of x = 20
20 /10 + 6 ≥ 8
2 + 6 ≥ 8
8 ≥ 8
So the value of x will be greater than 20 or equal to 20.
Therefore the solution of the given inequality is x/10 + 6 ≥ 8 will be x ≥ 20.
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Using complete sentences, describe how the variable h and the variable k of the general formula for a cube root function effects the graph. The general formula is;
y=a^(3)/sqrt(x-h+k)
Answers
Three possibilities
For red line
If h is negative then and k is positive then
then they will have two vertical asymptotes one on positive x and other on negative x
If h is negative and k is negative then the side part underroot with x turns negative I e x-(something) then they will form parabolas
You may look purple one
For all values of negative sum of h and k
example √x-k
The graph is parabola (Green one)
For h and k are equal the denominator yields √x and it stops at origin on downwards .(Blue one)
For all values of positive sum of h and k eg denominator as √x+k the graph will be like red one
Answer:
Standard Form of a Cube Root Function
[tex]y=a \sqrt[3]{x-h}+k[/tex]
The parent function is [tex]y=\sqrt[3]{x}[/tex]
[tex]h[/tex] indicates the horizontal shift from the parent function.
If [tex]h > 0[/tex] the shift is to the right, and if [tex]h < 0[/tex] the shift is to the left.
[tex]k[/tex] indicates the vertical shift from the parent function.
If [tex]k > 0[/tex] the shift is up, and if [tex]k < 0[/tex] the shift is down.
[tex]a[/tex] indicates a vertical stretch by scale factor [tex]a[/tex].
If [tex]a < 0[/tex] the function is reflected in the x-axis.
When observing a performance or movement pattern, you should break down the complex skills into which of the following:
A. Stylistic parts
B. none of these
C. Component parts
D. Tactical parts
Answers
You should break down complex skills into component parts when learning a complex performance or movement pattern.
What does it mean to learn complex skills?
Complex skills could be made up of several components. This makes it difficult to engage in these kind of activities without first undergoing extensive training.
As a result, you should break down complex skills into component elements when learning a complex performance or movement pattern.
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17. Evaluate and Synthesize
Tobacco smoking is extremely expensive to our society in economic and health costs as well as in human suffering. How would you solve the tobacco smoking problem? How would you specifically target young people?
Answers
Answer:
I would ban smoking in your county or ild advertise and ill make jobs to get people to help smokers so than they stop smoking and quit.
f(x) = 4x^2 - 3 find f(x + 2)
Answers
Answer:
f(x + 2) = 4x² + 16x + 13
Step-by-step explanation:
f(x) = 4x² - 3
Then
f(x + 2) = 4(x + 2)² - 3
= 4(x² + 4x + 2²) - 3
= 4(x² + 4x + 4) - 3
= 4x² + 16x + 16 - 3
= 4x² + 16x + 13
3) Which of the following is greater than 2?
a)3/4 + 1 1/8
b)8/6 +
9/12
c) 13/20 + 11/12
Answers
The point {1, 2} is reflected over the x-axis. Where is the location of the new
image?
A (-1, -2)
B(1.-2)
C(-1,-2)
D (-1,2)
E(2, -1)
Answers
i don’t understand these 2 questions. thank you.
Answers
Answer:
a) £10.50
b) £5.40
Step-by-step explanation:
In this context, "of" means "times".
__
a)1/4 × £42 = £(42/4) = £10.50
__
b)2/5 × £13.50 = £(2·13.50/5) = £(27/5) = £5.40
_____
Additional comment
The symbol "£" is a currency symbol identifying the units of the associated number. For algebraic purposes, any symbol representing units can be treated as though it were a variable.
In this question of means multiplication.
Let us start solve this question
Question 1
[tex] \small\rm{ \dfrac{1}{4} \: of \: £ \: 42}[/tex]
First we will convert whole number into a fraction
(Any number can be converted to fraction if you use 1 as the denominator)
[tex] \small\sf{ \dfrac{1}{4} \: \times \: \dfrac{42}{1}}[/tex]
Now we will multiply the numerators and denominators.
[tex] \small\sf{ \dfrac{42}{4} = £10.50 } [/tex]
Question 2
[tex] \small\rm{\dfrac{2}{5} \: of \: £ \: 13.50}[/tex]
First we will convert whole number into a fraction
[tex] \small\sf{ \dfrac{2}{5} \times \dfrac{13.50}{1} } [/tex]
Now we will multiply the numerators and denominators.
[tex] \small\sf{ \dfrac{27}{5} =£ 5.40 } [/tex]
harriet took 48 minutes to ride her bike the distance from her house to the town library. if she rode at a constant rate, what fraction of the total distance did she ride in the first 12 min
Answers
Answer:
1/4
Step-by-step explanation:
If total ride is 48 minutes, then she should have covered 1/4 the distance in 12 minutes cuz in 24 minutes she would cover 1/2 and in 36 minutes should would cover 3/4 and in 48 minute should cover the ride 1.
if you are standing at the cup cake table in which direction must you walk to find the swings
Answers
Based on the treasure map, a person standing at the cup cakes table must walk in the North direction to find the swings.
What is a compass?A compass simply refers to a scientific instrument that is made up of a magnetized pointer (needle), which is typically used to show and find the following four (4) main cardinal directions on a map:
North (N)South (S)West (W)East (E)Based on the treasure map in the image attached below, a person standing at the cup cakes table must walk in the North direction to find the swings.
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This season, the probability that the Yankees will win a game is 0.61 and the
probability that the Yankees will score 5 or more runs in a game is 0.56. The
probability that the Yankees win and score 5 or more runs is 0.44. What is the
probability that the Yankees will lose when they score fewer than 5 runs? Round your
answer to the nearest thousandth.
Answers
The probability that the Yankees will lose when they score fewer than 5 runs is 17.16%.
ProbabilityGiven that this season, the probability that the Yankees will win a game is 0.61 and the probability that the Yankees will score 5 or more runs in a game is 0.56, and the probability that the Yankees win and score 5 or more runs is 0.44, to determine what is the probability that the Yankees will lose when they score fewer than 5 runs the following calculation must be made:
1 - 0.61 = 0.391 - 0.56 = 0.440.39 x 0.44 = X0.1716 = XTherefore, the probability that the Yankees will lose when they score fewer than 5 runs is 17.16%.
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Answer: The probability that the Yankees will lose when they score fewer than 5 runs is 17.16%
Step-by-step explanation:
Rewrite the following expression with no exponent.
Answers
Answer:
49/9
Step-by-step explanation:
[tex](3/7)^-2=((37)^2)^-1=(3^2/7^22)^-1=(9/49)^-1=49/9[/tex]
I hope this helps!
Which graph and equation shows a proportional relationship between x and y?
Answers
Answer:
x is tje best answer bro ...................2. There are 42 persons in a mathematics class, and everyone of them drinks either coffee or grape milk at
breakfast. If eighteen persons drink grape milk and ten persons drink both grape milk and coffee, how
many persons drink grape milk only, and how many drink coffee only? Draw a Venn diagram to support
your answers.
Answers
Answer:
1. 8
2. 24
Step-by-step explanation:
The number of persons that drink grape milk only :
18 - 10 = 8
The number of persons that drink coffee :
42 - 8 = 34
The number of persons that drink coffee only :
34 - 10 = 24
The radius of a circle is 16 cm. Find its area in terms of π
Answers
A≈804.25cm²
Answer:
A = 804.25 cm^2
Step-by-step explanation:
For a tiger, there are approximately 4.2 lbs, of muscle for every 7.4 lbs. of body weight. How much of the weight is muscle on a 563 lb. tiger?
Answers
Answer:
320
Step-by-step explanation:
563/7.4=76
76*4.2=320
Please solve this step by step. The winner gets brainliest award. :D
Answers
Answer:
538 dollars
Step-by-step explanation:
Principal is 500$ rate is 0.019 time is 4 years so (500)(0.019)(4)500 x 0.019 = 9.59.5 x 4 = 38500 +38 = 538Answer:
539.
Step-by-step explanation:
add 1.9 percent every year, (use this new number to take 1.9 percent out of next time)
1 500
2 509.5
3 519.1805
4\ 539.09678316
PLEASE HELP QUICK
………
Answers
Answer:
you need to width x height x length b
Step-by-step explanation:
Length, width, and height are measurements that allow us to indicate the volume of geometric bodies. The length (6 cm) and the width (10 cm) correspond to the horizontal dimension. On the other hand, the height (5 cm)refers to the vertical dimension.
An individual is making chicken-stuffed peppers for the gluten-intolerant and pita breads for the vegetarians in a cooking class. Each chicken-stuffed pepper takes twice as long to make as a pita bread. The individual needs to feed 3 gluten-intolerant and 8 vegetarian classmates. The individual has 7 hours, how much time can he spend on each chicken-stuffed pepper?
Answers
Answer:
Step-by-step explanation:
Can someone please help me with this
Answers
Answer:
x=12
Step-by-step explanation:
Every triangle has interior degrees that all together add up to 180. We already know we have 50 degrees and 75 degrees, so we can subtract that to see how much we have left to work with. If we do that, we get 55 degrees left. Now, we have to set up a two step equation to find x:
5x-5=55
The first thing to do is to add 5 to both sides to get rid of -5:
5x-5=55
+5 +5
__ __
0 60
So now, it's 5x=60
Now, we have to isolate x. To do this, we have to divide both sides by 5. If you do this, you get:
x=12
Hope this helped!
Answer: b) x = 12
Step-by-step explanation:
The sum of a triangle's angles add up to 180°. We will add together all the angles, set them equal to 180°, and then solve.
Given:
(50°) + (75°) + (5x - 5°) = 180°
Combine similar terms:
120° + 5x = 180°
Subtract 120° from both sides of the equation:
5x = 60°
Divide both sides of the equation by 5:
x = 12
Your answer is;
b) x = 12
Assume that the salaries of computer programmers are normally distributed, with a mean of $66,000 and a standard deviation of $14,000.
If four programmers are selected at random, find the probability that they have a mean salary between $40,000 and $50,000.
a) 0.52
b) 0.09
c) 0.26
d) 0.01
Answers
The probability that they have a mean salary between $40,000 and $50,000 is 0.01.
What is Z- score test?A z-test is a statistical test to determine whether two population means are different when the variances are known and the sample size is large.
The z-score for 40,000 is
= (40,000 - 66000) / (14,000 / √4)
= -26000/7000
= -3.714, P- value is 0.000102
The z-score for 50,000
= (50,000 - 66,000) / (14,000 / √4)
=-2.285, P- value is 0.0111564
P(40,000 < x < 50,000) = P( -3.714< z < -2.285)
So,
= P(50,000)-P(40,000)
= 0.0111564-0.000102
=0.011
Hence, the probability that they have a mean salary between $40,000 and $50,000 is 0.01.
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