Jacque is using an unopened soup can for a school project and wants to paint it. If the can is 10 cm tall and has a diameter of 7 cm, at least how many square centimeters of paint is needed? Approximate using π = 3.14.

769.3 cm2
483.56 cm2
296.73 cm2
241.78 cm2

Answers

Answer 1

Answer:

Paint needed = option C(296.73cm2)

Step-by-step explanation:

Length of can(h)=10cm

Diameter of can=7cm

Radius of can(r)=3.5cm

Area of Can be painted=Total area of Can (cylinder)

Total surface area of cylinder=2π r(r+h)

                                                 =2 x 3.14 x 3.5 (3.5+10)

                                                 =21.98(13.5)

                                                =296.73cm^2

                                                 =Paint needed

To learn more about area of cylinder refer here:

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Answer 2
The surface area of a right circular cylinder (like the unopened soup can) is given by the formula 2πrh + 2πr^2, where r is the radius and h is the height. In this case, the radius is half the diameter, or 3.5 cm, and the height is 10 cm.

Thus the surface area of the can is:

2π(3.5)(10) + 2π(3.5)^2
= 220.5 + 38.5π
≈ 349.36 cm²

Therefore, the can will need at least 349.36 square centimeters of paint.

Related Questions

Pls help me (repost)

Answers

Answer:

below

Step-by-step explanation:

2.1 k and f

2.2 a and d

2.3 m = 90 - 59 = 31

2.4 d = 180 - 59 = 121

PLEASE HURRY

Which math ratio represents efficiency?

A). Fi x do/Fo x di
B). Fo x di/Fi x do
C). Fi x di/Fo x do
D). Fo x do/Fi x di

Answers

The math ratio that represents efficiency is option D). Fo x do / Fi x di.In this ratio:Fi represents the input force or input quantity.di represents the input distance or input time.Fo represents the output force or output quantity.do represents the output distance or output time.Efficiency is typically calculated by comparing the output to the input. In the case of mechanical systems, it is often measured as the ratio of output work or energy to input work or energy.Therefore, the ratio Fo x do / Fi x di represents the output work or energy divided by the input work or energy, which is commonly used to determine efficiency in various contexts.

Please Help me i really need to pass this!

Answers

Answer: I must say it's (0,3)

Step-by-step explanation: The two lines meet at (0,3) so it's (0,3).

Hope it helps! :D

The table represents a linear relationship.


Which equation represents the table?

y equals one fourth times x minus 2
y equals negative one fourth times x plus 4
y = 4x − 2
y = −4x + 3

Answers

Answer:

y equals one fourth times x minus 2

Step-by-step explanation:

Equation of straight line:

y =ax + b

Find a and b by selecting at random two pairs from among the plots.

(0, -2)

-2 = a·0 +b

b =-2

(4, -1)

-1 = a.4 +(-2)

-1 =4a -2

1 = 4a

a = 1/4

Equation is : y=(1/4)x -2   y equals one fourth times x minus 2

Answer:

Option (A) y equals one fourth times x minus 2.

Please mark my answer as the BRAINLIEST. Plssssssssssssssssssss

Answer my other questions, get brainliest!

Triangle ABC with vertices at A(4, 3), B(3, −2), C(−3, 1) is dilated using a scale factor of 1.5 to create triangle A′B′C′. Determine the vertex of point A′.

A: A′(−6, 4.5)
B: A′(4, 4.5)
C: A′(6, 3)
D: A′(6, 4.5)

Answers

To find the coordinates of the vertex A' after the dilation, we can use the formula:

A' = k * A + (1 - k) * O

where k is the scale factor, A is the original coordinates of vertex A, and O is the center of dilation. Since no center of dilation is given, we can assume that the origin (0, 0) is the center of dilation.

So, using k = 1.5, A = (4, 3), and O = (0, 0), we get:

A' = 1.5 * (4, 3) + (1 - 1.5) * (0, 0)
= (6, 4.5) + (0, 0)
= (6, 4.5)

Therefore, the coordinates of vertex A' after the dilation are (6, 4.5).

Thus, the correct answer is option D: A′(6, 4.5).
The answer that is correct is D

What number should go in the box to make the equation true? Explain how you got to your answer.


- (3/4) = ?/4


A. -3

B. 3

C. -4

D. 4

Answers

B is the correct answer for this because -3/4 equals 0.75 and 0.75 equals 3/4. Hope this helps you:)
B I had it yesterday

Fill in table.
It takes Shaun 90 minutes to complete a 15 mile race. Assume Shaun runs at a constant rate during the race. Complete the table to show Shaun’s time, in minutes, and distance, in miles, at each checkpoint.

Answers

Answer:

Step-by-step explanation:

Checkpoint A - 18 mins

Checkpoint B - 5 miles

Checkpoint C - 51 mins

Checkpoint D - 12.5 miles

hope it helps sorry if it's wrong

PLS HELP ASAP WILL MARK BRAINLIEST
Triangle ABC ~ triangle DEF. Use the image to answer the question.

Answers

Answer:

3.3/11 = DF/7.6

DF = (3.3 × 7.6)/11 = 2.28

Please help on this question :)

Answers

Answer:

15 cm × 9.5 cm = 142.5 square cm

Answer:

The area of the given figure is 142.5 sq. cm.

Step-by-step explanation:

The area of a parallelogram is given by the base multiplied by the height. The base in the given figure is 15 cm whereas the height is 9.5 cm.

15 × 9.5 equals 142.5

Hence, the area is 142.5 sq. cm.

Question 21: A box covers an area of 8 3/4 in. squared when resting on its base. The volume of the box is 74 3/8 in. cubed. Can you find the surface area of the box? Explain.

Answers

My dad had help my sister with this one. The answer is A

Which graph shows the solution to the system of linear equations?

y equals negative one fourth times x plus 1
y = −2x − 1

Answers

Answer:

The First graph

x= -1 1/7

y= 1 2/7

Step-by-step explanation:

y = (-1/4)x +1 .........(1)

y = -2x -1     ..........(2)

STEP I:  

(1) ·8

8y = -2x + 8 .........(3)

Step 2:

(3) - (2)

  8y = -2x + 8

-) y = -2x -1

____________

   7y = 9 , y = 9/7 = 1 2/7

y = 9/7 as input

x = -8/7 = -1 1/7

Final answer:

The solution to the system of linear equations is the point (8/7, -9/7). Graphically, this point represents the intersection of the two lines.

Explanation:

To find the solution to the system of linear equations, we need to find the point where the two equations intersect. To do this, we can set the equations equal to each other and solve for x. -1/4x + 1 = -2x - 1. Simplifying the equation, we get 7/4x = 2. By multiplying both sides by 4/7, we find that x = 8/7. Plugging this value back into either equation, we find that y = -9/7. Therefore, the solution to the system of linear equations is the point (8/7, -9/7).

Graphically, the solution to the system of linear equations is represented by the point where the two lines intersect. The graph of y = -1/4x + 1 is a line with a slope of -1/4 and a y-intercept of 1, while the graph of y = -2x - 1 is a line with a slope of -2 and a y-intercept of -1. By plotting these lines on a graph, we can identify the point of intersection and determine the solution.

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Carl sells snow cones at a baseball park. The graph shows the amount of ice used for the snow cones, in pounds, over a certain amount of time, in minutes.
Which of the following describes the graph?



Carl had 1 pound of ice after 2 minutes, used 8 pounds every minute for 4 minutes, and then used 3 pounds each minute for 6 minutes.

Carl had 2 pounds of ice after 8 minutes, used 8 pounds every minute for 4 minutes, and then used one half pound each minute for 6 minutes.

Carl had 4 pounds of ice after 1 minute, didn't use any ice for 4 minutes, and then used 2 pounds each minute for 6 minutes.

Carl had 8 pounds of ice after 2 minutes, didn't use any ice for 4 minutes, and then used one half pound each minute for 6 minutes.

Answers

Answer: It is D.  Carl had 8 pounds of ice after 2 minutes, didn't use any ice for 4 minutes, and then used one half pound each minute for 6 minutes.

Step-by-step explanation:

Data was collected on the amount of time that a random sample of 8 students spent studying for a test and the grades they earned on the test. A scatter plot and line of fit were created for the data.



Determine the equation of the line of fit.

y = 5x + 60
y = 5x + 70
y = 10x + 60
y = 10x + 70

Answers

In slope-intercept form (y = mx + b), m represents the slope (rise/run) and b represents the y-intercept.

Let's look at the graph and pick two points, (2, 70) and (4, 80) and use slope formula, y2 - y1 / x2 - x1
80 - 70 / 4 - 2
10 / 2
5
The slope of this line is 5.

To find the y-intercept, we look where the line crosses through the y-axis or the vertical line.
The y-intercept is (0, 60) or 60

If we plug these numbers into slope-intercept form, we get y = 5x + 60

Your answer is y = 5x + 60

help me thank you if u did i forgot

Answers

Answer:

790,000

Step-by-step explanation:

The 5 represents the number by itself so it would be

10x10x10x10x10=100,000

7.9x100,000=790,000

Step-by-step explanation:

if you multiply something by 10 = 10¹, you move the decimal point 1 position to the right (and fill up with a 0, if necessary).

if you multiply something by 100 = 10², you move the decimal point 2 positions to the right (and fill up with 0s as needed).

if you multiply something by 1000 = 10³, you move the decimal point 3 positions to the right (and fill up with 0s as needed).

...

you see the pattern ?

so, when multiplying by 10⁵ (100,000) we shift the decimal point 5 pairings to the right and fill up with 0s as needed.

therefore,

7.9 × 10⁵ = 790,000.-

A gardener uses a total of 61.5 gallons of gasoline in one month. Of the total amount of gasoline, 3/5 was used in his lawn mowers. How many gallons of gasoline did the gardener use in his lawn mowers in the one month?

What do i do here?

Answers

Answer:

36.9 gallons were used in one month.

Step-by-step explanation:

In order to find this out, we first take 3/5 and convert it into a decimal by dividing the numerator by the denominator

3 ÷ 5 = 0.6

Then, we can set up this equation to figure out how many gallons of gasoline were used:

0.6 x 61.5 = 36.9

Answer: 36.9 gallons used

Step-by-step explanation: 61.5 * 3/5 which is 615/10 * 3/5.

Please help me this is due today

Answers

a) The predicted heating cost for a month with temperature of 25 ºF is given as follows: $65.70.

b) The predicted heating cost for a month with temperature of 0 ºF is given as follows: $96.20

c) For an increase of one degree Fahrenheit, the predicted decrease in the cost is of $1.22.

How to define a linear function?

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.

The slope and the intercept for the function in this problem are given as follows:

Slope of -1.22, meaning that for an increase of one degree Fahrenheit, the predicted decrease in the cost is of $1.22.Intercept of 96.2, meaning that the predicted heating cost for a month with temperature of 0 ºF is of $96.20.

Hence, the predicted cost for a month with temperature of 25ºF is given as follows:

y = -1.22(25) + 96.20 = $65.70.

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Jaden made a rectangular sign that is 1.4 meters long and 1.2 meters wide to post on the wall of his store. How many square meters of wall does the sign cover? The answer is 1.68, but to solve the problem, you need to find 1.4 x 1.2(which it is 1.68). Estimate the area of wall that the sign will cover. Explain your thinking please.

Answers

To estimate the area of the wall that the sign will cover, we can use some rounding techniques to simplify the calculation.

First, we can round the dimensions of the sign to the nearest whole number to make the multiplication easier. Rounding 1.4 to 1 and 1.2 to 1, we can estimate that the sign covers approximately 1 square meter of wall.

This estimation assumes that the sign is placed directly on the wall with no gaps or overlaps. In reality, the actual area of wall covered by the sign may be slightly larger or smaller depending on the installation method and any spacing between the sign and the wall.

It's important to note that while estimation can be useful for getting a rough idea of the answer, it's not always accurate and should not be relied upon for precise calculations. In this case, using the actual dimensions of the sign to find the area of the wall covered (1.4 x 1.2 = 1.68 square meters) gives a more accurate result.

1. What is the distance from the hazard buoy P to the southern landmark L2? Use this formula: , where d is the distance from P to L2, DL2 is the distance from D to L2, and PD is the distance from P to D. Round to the nearest foot. (5 points)
2. What triangles are similar? How do you know? (5 points)
3. What is the distance between buoy A and B? (5 points)

Answers

Answer:

My fault i need points

Step-by-step explanation:

Find the 25th term.
2, 10, 18, 26, 34, ...
25th term = [?]

Answers

an = a1 + (n - 1)d

Substituting the values

an = 2 + (n - 1)8

We have to find the 25th term n = 25

a25 = 2 + (25 - 1)8

a25 = 2 + (24)8

a25 = 2 + 192

a25 = 194

Answer:  194

======================================================

Explanation:

The gap between adjacent terms is 8.

2+8 = 1010+8 = 1818+8 = 2626+8 = 34etc

The long way to get the answer would be to keep adding 8 to each term to generate the next one. You'd need to do this 20 times. There are 5 terms here already, so you need 25-5 = 20 more operations of "add 8".

I don't recommend this option. I recommend the shortcut mentioned in the next section.

--------

The shortcut would be to find the nth term of the arithmetic sequence

[tex]a_1 = 2 = \text{ first term}\\\\d = 8 = \text{ common difference}\\\\a_n = \text{ nth term}\\\\a_n = a_1 + d(n-1)\\\\a_n = 2 + 8(n-1)\\\\[/tex]

As a check, plug n = 1 into that formula to get [tex]a_1 = 2[/tex]. Plug n = 2 to get [tex]a_2 = 10[/tex] and so on. I'll leave this check portion for the student to do.

--------

The last step is to plug n = 25 into that formula to determine the 25th term.

[tex]a_n = 2 + 8(n-1)\\\\a_{25} = 2 + 8(25-1)\\\\a_{25} = 2 + 8(24)\\\\a_{25} = 2 + 192\\\\a_{25} = 194\\\\[/tex]

The final answer is 194

-------

Extra section (optional):

We can use a spreadsheet to generate the 25 terms. This is to help check the answer.

2, 10, 18, 26, 34, 42, 50, 58, 66, 74, 82, 90, 98, 106, 114, 122, 130, 138, 146, 154, 162, 170, 178, 186, 194

Please help
I need help on these two

Answers

Answer:surface area of pyramid is 118.80

And the volume of the cube is 1000

Step-by-step explanation:explain on picture

Answer:169.92 cm^2

Step-by-step explanation:

The base is 7.2 x 7.2 (This equals 51.84)

The area of one triangle is 29.52

There are 4 triangles with the same side lengths so you multiply 29.52 x 4.

This would equal 188.08.

Then you add everything together.

This equals 169.92 cm^2.

Answer:1,000 m^3

The formula for volume is hlw.

One of the side lengths of the cube is 10.

If the height, length, and width are ten, then you multiply them all together.

This would give you 1,000.

Which of the following equations represents a linear function?

x = −2
y = 5x − 6
y equals negative one fifth times x squared
−3x + 2 = 4

Answers

Answer:

The equation that represents a linear function is:

y = 5x - 6

Step-by-step explanation:

This equation has a constant rate of change, which means that for every unit increase in x, there is a consistent and constant increase or decrease in y. This is a characteristic of linear functions, where the relationship between x and y is a straight line.

y = 5x - 6 is represents a linear function.

What is a linear function?

A linear function is a type of function in which the highest power of x is one. The graph of a linear function has only one solution, and intercept x - axis at only one point and intercepts y - axis at only one point as well.

Generally, the equation of a linear function is given as;

y = mx + c

where;

m is the slope of the graphc is the y intercept of the graph

The graph of a linear function is usually directly proportional, either increasing or decreasing.

From the options, only the function, y = 5x - 6 is a linear function.

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i need EXTRA help with this PLEASE AND THANK YOU!

A grocery store receives a crate with contents that weigh 180 pounds. The contents consist of six 10-pound bags of potatoes and an unknown number of 5-pound bags of potatoes. Choose an equation that represents the number of bags of potatoes in the crate.

A: 6(10) + 180 = 5x
B: 10 + 6 + 5x = 180
C: 180 = 5 + 60x
D: 6(10) + 5x = 180

Answers

Answer:

6(10)+5x=180

Step-by-step explanation:

This is because there are 6 10-pound bags that we know of, so it would be 6(10).

Then, there are an unknown number of 5-pound bags, in which the variable would be x, so it would be 5x.

Lastly, the content weighs 180 pounds, so that's what the equation would be equal to.

I think is A: 6(10) + 180 = 5x

The area of the circle is 9/64π square units. The radius of a circle is blank units. The circumference of the circle is blank units.
*One radius and one circumference*

a. 9/32
b. 3/8
c. 3/4
d. 9/32π
e. 3/8π
f. 3/4π

Answers

Answer:

C = 2π(3/8) = 3π/4 units

Step-by-step explanation: The area of the circle is given by the formula A = πr^2, where A is the area and r is the radius.Therefore, 9/64π = πr^2Simplifying, we get:r^2 = 9/64Taking the square root of both sides, we get:r = 3/8The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius.Therefore, the circumference of the circle is:C = 2π(3/8) = 3π/4 units

The correct answer is c I believe

John puts $70 in a savings account that earns 6% annually. The interest is not compounded. How many years will it take John to make at least $100 in interest?

Answers

Answer:

24 years

Step-by-step explanation:

If interest is not compounded, it is called simple interest.

Simple interest is calculated as a percentage of the principal amount and is applied only to the principal.

The formula for simple interest is:

[tex]\boxed{\sf I = Prt}[/tex]

where:

I = Total interest earned.P = Principal amount.r = Interest rate (in decimal form).t = Time (in years).

The given values are:

I = $100P = $70r = 6% = 0.06

Substitute the given values into the formula and solve for t:

[tex]\implies \sf 100=70 \cdot 0.06 \cdot t[/tex]

[tex]\implies \sf 100=4.2 t[/tex]

[tex]\implies \sf 4.2 t=100[/tex]

[tex]\implies \sf \dfrac{4.2 t}{4.2}=\dfrac{100}{4.2}[/tex]

[tex]\implies \sf t=23.8095238...\;years[/tex]

We need to round up to the next year. Therefore, it will take 24 years for John to make at least $100 in interest.

Answer:

approx. 24 years

Step-by-step explanation:

The formula to find the simple interest is:

[tex]\sf I= \frac{prt}{100}[/tex]

Here,

I ⇒ Interest ⇒ $ 100

p ⇒ principle ⇒ $ 70

r ⇒ rate ⇒ 6

t ⇒ time ( years )

Let us find the time taken using the formula.

[tex]\sf I= \frac{prt}{100}\\\\100=\frac{70*6*t}{100} \\\\100*100=420t\\\\10000=420t\\\\23.8\: years=t\\\\approx. \:24 \:years=t[/tex]

(´▽`ʃ♡ƪ) Help pls! quick plsss! A video rental store keeps a list of their top 15 movie rentals each week. This week the list includes 6 action, 4 comedies, 3 dramas, and 2 mysteries. The store manager removes a copy of each of the 15 movies from the shelf, then randomly selects 3 of the 15 to show on the display monitors in the store. What is the probability that she selected 2 comedies and 1 action movie?

Answers

Answer:

about a 20% chance that you get 2 comedies and 1 action movies

Answer: The total number of ways to select any 3 movies out of 15 is:

15C3 = 455 There are a total of 15 movies, out of which 6 are action, 4 are comedies, 3 are dramas, and 2 are mysteries.                 nCr = n! / r!(n-r)!

(i.e., n! = n x (n-1) x (n-2) x ... x 2 x 1).

Step-by-step explanation:

A football kicker attempted to make field goals from different distances from the goal post. The relationship between the distance from the goal post and the number of field goals made is shown in the scatter plot.

Which of the following tables of data represents the scatter plot in the image of the answers below?

Answers

Answer: D)

Step-by-step explanation:

Look at the data table then look at the scatterplot to see if the values line up.

10 field goals, 15 yards distance from the Goal Post.
9 field goals, 20 yards distance from the Goal Post.

10 field goals, 25 yards distance from the Goal Post.

11 field goals, 30 yards distance from the Goal Post.

And so on...

Brody calculated the area of a square to be 16/36
square foot.
Which shows the side length of the square?

Answers

Answer:

Step-by-step explanation:

Area of a square = length²

If the area of a square is given, in order to determine the length, find the square root of the area.

√16 / 36 = 4/6 foot


Which statement is true

Answers

Answer: The answer is B

Step-by-step explanation:

The statement which is true include the following: C. function 2 is the only nonlinear function.

What is a linear function?

In Mathematics and Geometry, a linear function refers to a type of function whose equation is graphically represented by a straight line on the xy-plane or cartesian coordinate.

This ultimately implies that, a linear function has the same (constant) slope and it is typically used for uniquely mapping an input variable to an output variable, which both increases simultaneously.

In this context, we can logically deduce that function 2 is a quadratic function and as such, it is the only nonlinear function.

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PLS HELP ASAP! WILL GIVE BRAINLIEST!!! Jason rode his bike in a sprint trial for 15 minutes and complicated a distance of 9 3/4 miles. In his second sprint trial he rode for 20 minutes and completed a distance of 12 2/3 miles.
What is the difference in his speed in miles per hour between the two sprint trials?

(A) The first trial was 3 miles per hour slower.
(B) The first trial was 3 miles per hour slower.
(C) The second trial was 1 mile per hour faster.
(D) The second trail was 1 mile per hour slower.

Answers

D the second trail was 1 mile per hour slower
D) The second trail was 1 mile per hour slower

PLEASE SOMEONE HELP I BEG U \

A new physical therapy is being tested in an experimental setting to see if the new methods reduce the recovery time for patients who recently underwent surgery for a torn ACL, a ligament in your knee. To do this, the researchers in the study first performed intake on participants by observing their Body Mass Index (BMI) and had them take a survey to describe their diet and their exercise habits.

Then, the participants were split into three groups: the first group received no physical therapy, the second group received traditional physical therapy, and the third group received the new experimental physical therapy.

The group which receives no physical therapy would best be described as which of the following?

EXPLANATORY VARIABLE
RESPONSE GROUP
CONTROL GROUP
EXPERIMENTAL UNIT

Answers

Answer:response group

Step-by-step explanation: cause its not the last one

Other Questions
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