The formula for the surface area of a cylinder is:

SA = 2π r 2 + 2πrh note: that π= 3.14

a. Solve for h showing all work.







b. If the height of a can of soup is 5 inches and the radius is 1.5 inches, what is the surface area?

Answers

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

a. SA = 2π r^2 + 2πrh

2πrh = SA - 2π r^2

h = (SA - 2πr^2)/2πr

When π = 3.14 we have

h = (SA - 6.28r^2)/ 6.28r

b. SA = 6.28*1.5^2 + 6.28*1.5* 5

= 61.23 in^2


Related Questions

HELP MATH ANSWER QUESTION

Answers

Answer:

Last one.

Step-by-step explanation:

[tex]\sqrt{3}[/tex] is used in 30-60-90 triangles

[tex]\sqrt{2}[/tex] is used in 45-45-90 triangles

Base is x, leg is x[tex]\sqrt{3}[/tex], hypotenuse is 2x

Answer:

x = 20 ; y= 10√3

Step-by-step explanation:

30, 60 , 90 triangle ratio is

Side opposite to 30 is a

a = AC = 10

Side opposite to 60 is a[tex]\sqrt{3}[/tex]

AB = a[tex]\sqrt{3}[/tex] = 10√3

Side opposite to 90 is  2a

BC = 2a = 2* 10 = 20

 

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW. Please help me with #29 and 30.​

Answers

9514 1404 393

Answer:

  29)  1/5

  30)  independent; 64/225 ≈ 0.284

Step-by-step explanation:

In general, a "spinner" is considered to be a (mathematically ideal) device that returns one of the values with which it is marked, with a probability according to the area of the sector in which the mark resides. Usually, sectors are presumed to have equal areas. The result of one spin is generally considered to be independent of the result from any other spin. In the real world, an operator familiar with a given spinner can often ensure that the results do not have equal probability and are not independent. We ignore that possibility in math problems.

__

29) Of the numbers 1 to 15, there are three numbers less than 4. The probability of spinning one of them is 3/15 = 1/5.

__

30a) We have defined our spinner so that the events are independent. (See above.)

30b) In the set of numbers 1 to 15, 8 are odd and 7 are even. The probability of getting an odd number on any spin is 8/15. Because the results of successive spins are independent, the probability of any given sequence is the product of the probabilities of the numbers in that sequence.

  P(2 odd) = P(odd)×P(odd) = (8/15)(8/15) = 64/225 ≈ 0.284

In a carnival game, there are 8 identical boxes, one of which contains a prize. Contestants guess which box contains the prize. The game is played until one of the contestants guesses it correctly. A contestant with the smaller number of guesses wins the prize. Before each game, a new prize is placed at random in one of the 8 boxes.

Requried:
Is it appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game that day several times wins exactly 4 times?

Answers

Since there is a fixed number of trials and the trials are independent, it is appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game that day several times wins exactly 4 times.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem:

The game is played n times.In each game, each of the 8 participants is equally as likely to win the game, hence p = 1/8.

Thus, the binomial distribution is appropriate.

You can learn more about the binomial distribution at https://brainly.com/question/24863377

Sima drinks 2.5 litres of water each day.
A full glass holds 125 mililitres of water.
How many full glasses of water does Sima drink each day?​

Answers

Answer:

20 glasses a day

Step-by-step explanation:

2.5litres equals 2500millilitres

2500÷125=20

please helpppp!!! it’s timed!!!! thank u for helping!!!!!

Answers

I think B answer ...

Answer:

10π in.

Step-by-step explanation:

circumference of a circle = 2πr

=2*π*5

=10π in.

6+t=1 pls help.............

Answers

6+T=1

Try T=-5

6+(-5) = 1

Correct, So...

T=-5

Q22. Solve the equation x – 25 = 25 and state which axiom do you use here.​

Answers

Answer:

x=50

Step-by-step explanation:

The solution to the equation x – 25 = 25 is x = 50. The axiom used to solve the equation is the addition property of equality.

To solve the equation x - 25 = 25, we want to isolate the variable x to find its value.

Adding 25 to both sides of the equation, we get:

x - 25 + 25 = 25 + 25

Simplifying, we have:

x = 50

Therefore, the solution to the equation is x = 50.

In this case, the axiom used to solve the equation is the addition property of equality. According to this axiom, if two expressions are equal, adding the same value to both sides of the equation preserves the equality.

In the given equation, we add 25 to both sides of the equation to maintain equality and obtain the solution x = 50. The addition property of equality allows us to perform this operation and determine the value of x.

To learn more about axioms click on,

https://brainly.com/question/33725824

#SPJ2

If the set of values in the table represents points on a line, what is the value of a?

Answers

Answer:

3

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

just did it

Express in simplest radical form.
V9

Answers

Answer:

3

Step-by-step explanation:

[tex]\sqrt{9}=\sqrt{3*3} = 3[/tex]

7[tex]\sqrt -9[/tex]

Answers

Answer:

= 21i

Step-by-step explanation:

√-9 = 3i

= 7 . 3i

Multiply the numbers: 7 . 3 = 21

= 21i

Hope this helps!

multiply (11x+y)² what is the answer?​

Answers

Answer:

121x+y²

Your Welcome

BIFFY OUT!!!

What is an equation of the line that passes through the points (-6, 3) and (-5,2)

Answers

Answer:

y=-x-3

Step-by-step explanation:

how do i find a perimeter of a traingle? give examples​

Answers

Answer:

use this formula(a+b+c) a,b,c are the 3 sides of a triangle this will help you to find the perimeter of a triangle

The answer and how to find the answer

Answers

Answer:

x = 1.9

Step-by-step explanation:

Thanks to a theorem we can use this proportion

10.47 : 4.44 = 4.44 = x

x = (4.44^2)/10.47 = 1,882865 = 1.9

can someone help me with this question

Answers

answer: B


Exclamation: a.p.e.x

Karl set out to Alaska on his truck. The amount of fuel remaining in the truck's tank (in liters) as a function of distance driven (in kilometers) is graphed.

What distance did Karl travel by the time he had 200 liters of fuel?

_____ kilometers​

Answers

Answer:

500 kilometers

Step-by-step explanation:

The fuel (y) Karl has in his car is a function of the distance (x) Karl travelled. The amount of fuel (y) is dependent on the distance (x) Karl travelled.

On the y-axis, we have amount of fuel.

On the x-axis, we have distance travelled.

At the time Karl travelled when he had 200 liters of fuel (y) remaining in his car, he had travelled a distance (x) of 500 kilometers.

We know this by looking at the graph given. When x (distance) = 500, y (fuel) = 200.

simplify into one fraction 8x/x-8 - 2/x-8

Answers

Answer:

- 2+8x/x

Step-by-step explanation:

See image below:)

FYI you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free

Answer:

(8x-2) / (x-8)

Step-by-step explanation:

8x/x-8 - 2/x-8

Since the denominator is the same, we can add the numerators

(8x-2) / (x-8)

Is the answer to this question 13.5

Answers

Answer:

i think its 13

Step-by-step explanation:

you are supposed to measure the lowest point of the liquid.

in the right triangle AB, mc=90, a=4, and sinA=1/2. what is the length of the hypotenuse?

Answers

Given:

In a right angle triangle ABC, [tex]m\angle C=90^\circ , a=4[/tex] and [tex]\sin A=\dfrac{1}{2}[/tex].

To find:

The length of the hypotenuse.

Solution:

It is given that [tex]m\angle C[/tex], so opposite side of this angle is the hypotenuse, i.e., c.

In a right angle triangle,

[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

In the given triangle,

[tex]\sin A=\dfrac{a}{c}[/tex]

Substituting the given values, we get

[tex]\dfrac{1}{2}=\dfrac{4}{c}[/tex]

By cross multiplication, we get

[tex]1\times c=4\times 2[/tex]

[tex]c=8[/tex]

Therefore, the length of the hypotenuse is 8 units.

AABC has been translated 5 units to the right, as shown in the diagram. What
is the length of AB?

A. 10
B. 6
C. 31
D. 15

Answers

The length of ab is D. 15

HELPP ASAP plzzz tyy!!!!

Answers

Answer:

The domain of a function is the input numbers that, when plugged into a function, the result is defined. In simple words, we can define the domain of a function as the possible values of x that will make an equation true.

The range of a function is defined as a set of solutions to the equation for a given input. In other words, the range is the output or y value of a function. There is only one range for a given function.

hope this helps!

Step-by-step explanation:

You need to save $1,300 to go overseas in two years. You deposit $800 in a savings account today. The account earns 10% interest. You will make an additional deposit in one year. How much must you deposit in one year in order to have enough to go on the trip?

Answers

Answer:

The additional deposit to be made in one year should be $ 301.81.

Step-by-step explanation:

Given that I need to save $ 1,300 to go overseas in two years, and I deposit $ 800 in a savings account today, that earns 10% interest, and I will make an additional deposit in one year, to determine how much must I deposit in one year in order to have enough to go on the trip, the following calculation must be performed:

800 x 1.1 = 880

(880 + X) x 1.1 = 1300

1300 / 1.1 = 1,181.81

1,181.81 - 880 = X

301.81 = X

Therefore, the additional deposit to be made in one year should be $ 301.81.

Triangle A B C is cut by line segment D E. Line segment D E goes from side A C to line A B. The length of A E is 12, the length of E B is 4, and the length of A D is 9. What is the length of Line segment D C? 2 units 3 units 6 units

Answers

Answer: The length of DC is 3 units

Step-by-step explanation:

The Basic proportionality theorem states that if a line is parallel to one side of a triangle and intersects the other two at different points, then the other two sides are divided in the same ratio.

The given image is attached below.

From the BPT theorem, we can say that:

[tex]\Rightarrow \frac{AE}{EB}=\frac{AD}{DC}[/tex]

We are given:

AE = 12 units

EB = 4 units

AD = 9 units

Putting values in above equation, we get:

[tex]\Rightarrow \frac{12}{4}=\frac{9}{DC}\\\\\Rightarrow DC=\frac{9\times 4}{12}\\\\\Rightarrow DC=3 units[/tex]

Hence, the length of DC is 3 units

Answer:

The answer is 3 units

Step-by-step explanation:

Kristin is saving up money to go on a trip around the world next year. In order to make enough to pay for her trip, Kristin has to work at least 260 days this year.

​Which of the following inequalities represents Kristin's possible number of workdays, d

Answers

Answer:

A.

D needs to be equal or more to 260

Answer:

The correct option is A

Step-by-step explanation:

How do I compare this ratio ;

3:4 , 5:2 and 2:3

Answers

Answer:

(a) By converting to decimal:

2:3=23=0.6¯

4:5=45=0.8

As 0.6¯<0.8,2.:3<4:5.

(b) By converting to fractions:

Ratios can be compared by converting them to like fractions.

2:3=23=2(5)3(5)=1015

4:5=45=4(3)5(3)=1215

As 1015<1215,2:3<4:5.

2) find an equation of the line theough the given
points. Give the final answer in slope-intercept form.
(2,-2) (-1,4)

Answers

Answer:

y = -2x + 2

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (2, -1)

Points on the y-axis (y1, y2) = (-2, 4)

To find the equation of line in slope intercept form;

First of all, we would determine the slope of the line.

Mathematically, slope is given by the formula;

[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]

[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

Substituting into the equation, we have;

[tex] Slope, m = \frac {4 - (-2)}{-1 -2} [/tex]

[tex] Slope, m = \frac {4 + 2}{-1 -2} [/tex]

[tex] Slope, m = \frac {6}{-3} [/tex]

Slope, m = -2

Next, we would use the following formula to find the equation of the line;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - (-2) = -2(x - 2)

y + 2 = -2x + 4

y = -2x + 4 - 2

y = -2x + 2 = mx + c

What is the perimeter of a triangle with the side lengths 4 cm, 6 cm, and (3y-2) cm?

Answers

Answer:

Step-by-step explanation:

P = 4 + 6 + (3y - 2)      Remove the brackets

P = 10 + 3y - 2            Combine

P = 8 + 3y

Note 3y must be less than 8. That's because 2 sides of any triangle must be larger than the 3rd side or else you don't have a triangle.

A certain game consist of rolling a single fair die and based off as a following numbers listed in the picture

Answers

Given:

A fair die is rolled.

It pays off $10 for 6, $7 for a 5, $4  for a 4 and no payoff otherwise.

To find:

The expected winning for this game.

Solution:

If a die is rolled then the possible outcomes are 1, 2, 3, 4, 5, 6.

The probability of getting a 6 is:

[tex]P(6)=\dfrac{1}{6}[/tex]

The probability of getting a 5 is:

[tex]P(5)=\dfrac{1}{6}[/tex]

The probability of getting a 4 is:

[tex]P(4)=\dfrac{1}{6}[/tex]

The probability of getting other numbers (1,2,3) is:

[tex]P(\text{Otherwise})=\dfrac{3}{6}[/tex]

[tex]P(\text{Otherwise})=\dfrac{1}{2}[/tex]

We need to find the sum of product of payoff and their corresponding probabilities to find the expected winning for this game.

[tex]E(x)=10\times P(6)+7\times P(5)+4\times P(4)+0\times P(\text{Otherwise})[/tex]

[tex]E(x)=10\times \dfrac{1}{6}+7\times \dfrac{1}{6}+4\times \dfrac{1}{6}+0\times \dfrac{1}{2}[/tex]

[tex]E(x)=\dfrac{10}{6}+\dfrac{7}{6}+\dfrac{4}{6}+0[/tex]

[tex]E(x)=\dfrac{10+7+4}{6}[/tex]

[tex]E(x)=\dfrac{21}{6}[/tex]

[tex]E(x)=3.5[/tex]

Therefore, the expected winnings for this game are $3.50.

The volume of a cube is 448cm3.
Work out the length of its side rounded to 1 DP. Please hellp

Answers

Answer:

7.65 or 7.7 rounded to 1 DP

Step-by-step explanation:

To find the length of the side of a cube we do the inverse of finding the volume.

one side= x

If x³ = volume, therefore ∛448 is how to find the length of one side.

∛448= 7.65

I hope this helps you.

Casandra wants to buy a dress. She had of the money. Her mom gave her $120.00 but she was still short of the cost of the dress. What is the price of the dress? ​

Answers

I dont think I can be answered with just the given info... is some of the q missing still?

Closest we can do with above is dress cost = 120+ c

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