A newspaper is rolled into a cylindrical shape of approximate diameter 4cm It is wrapped for posting with a strip of paper which goes about 2 1/2 times round the newspaper Use the value 3 for π to find the approximate length of the wrapping paper. And 2. Calculate the total surface area of a solid cone of slant hight 10cm and base diameter 10 cm.Use the value 3.14 for π

Answers

Answer 1

Answer:

30 cm

[tex]863.5\ \text{cm}^2[/tex]

Step-by-step explanation:

d = Diameter of cylinder = 4 cm

n = Number of times the strip of paper is turned = [tex]2\dfrac{1}{2}=2.5[/tex]

Diameter of the cylinder will be approximately equal to the diameter of the paper wound. Length of one turn will be circumference of the paper

Circumference of the paper

[tex]c=\pi d\\\Rightarrow c=3\times 4\\\Rightarrow c=12\ \text{cm}[/tex]

Total length of the paper will be the number of turns multiplied by the length of one turn

[tex]l=nc\\\Rightarrow l=2.5\times 12\\\Rightarrow l=30\ \text{cm}[/tex]

Length of the strip of paper is 30 cm.

2.

l = Slant height = 10 cm

d = Base diameter = 10 cm

r = Radius of base = [tex]r=\dfrac{d}{2}=\dfrac{10}{2}=5\ \text{cm}[/tex]

Total surface area of cone is given by

[tex]S=\pi r^2+\pi rl\\\Rightarrow S=\pi r(r+rl)\\\Rightarrow S=3.14\times 5(5+5\times10)\\\Rightarrow S=863.5\ \text{cm}^2[/tex]

The total surface area of cone is [tex]863.5\ \text{cm}^2[/tex].


Related Questions

Write the slope-intercept form for the equation of the line.

Answers

Slope intercept form is y=mx+b where m represents the slope and b is the y- intercept. From the graph we can see the y intercept is -4 and the slope is 2.
**To find the slope you find 2 points in the line and use the formula y2-y1 / x2-x1
(2,0) (0,-4) -4-0 / 0-2 = -4 / -2 = 2**
Y=mx+b —> y=2x-4

please help me there are more questions after this.

Answers

Well give me a list of questions and I will try to solve them for you.

PLEASE HELP :(
Mario is spending the day at the county fair. The admission ticket costs $10.00. Each ride ticket costs $2.50.

Which equation can be used to find y, the total cost of Mario’s day at the fair, given x represents the number of ride tickets he purchases?

y = 2.50x + 10

y=2.50(x+10)

y = 10x + 2.50

y=2.50x−10

Answers

Answer:

y = 2.50x + 10

Step-by-step explanation:

y=mx+b

x=number of rides

y=cost

Answer:

a is the answer

Step-by-step explanation:

If the equation y=2x-1 is translated down six units, the new equation would be...

Answers

Answer:

2x-6

Step-by-step explanation:

have a nice day!! :))

is 2/5 a rational number , irrational number, whole number , or integer?

Answers

Answer:

Rational number

Step-by-step explanation:

An irrational number is like pi, something that you can never write down completely.

2/5 is not a whole number, or an integer because it's a fraction of a number.

A math book comprises of two sections: arithmetic and geometry in the ratio 5:3. How much of each type of content will be needed to make a book of 480 pages?

Answers

Answer:

Arithmetic content = 300 pages

Geometric content = 180 pages

Step-by-step explanation:

Arithmetic : Geometry = 5 : 3

Total pages of book = 480

How much of each type of content will be needed to make a book of 480 pages?

Total ratio = arithmetic + geometric

= 5 + 3

= 8

Arithmetic content = 5 / 8 × 480

= 0.625 × 480

= 300

Arithmetic content = 300 pages

Geometric content = 3 / 8 × 480

= 0.375 × 480

= 180

Geometric content = 180 pages

LaShawn solved the equation below to the determine the solution. 3 x minus 8 = negative x + 4 (x minus 2) How many solutions does LaShawn’s equation have? zero one two infinitely many

Answers

Answer: D

D-infinitely many

Step-by-step explanation:

Took the Analyzing Solutions quiz on Edge 2020

Answer: D

D-infinitely many

Step-by-step explanation:

Edge 2020

does 27 divided by 5 result in 5 and 6

Answers

Answer:

27 divided by 5 = 5.4

Step-by-step explanation:

What is 5+5 I will give brainliest

Answers

Answer:

5+5=10

tep-by-step explanation:

Quadratic functions q and ware graphed on the same coordinate grid.
The vertex of the graph of g is 18 units below the vertex of the graph of w.
Which pair of functions could have been used to create the graphs of q and w?

Answers

Answer:q(x)=18x^2 and W(X) = x^2

Step-by-step explanation:

The pair of functions that used for developing the graph of g and w is [tex]q(x)=18x^2\ and\ W(X) = x^2[/tex]

What is the vertex of the parabola?

The vertex of a parabola should be the point where the parabola crosses its axis of symmetry. In the case when the coefficient of the x2 term is positive, so the vertex will be the lowest point on the graph.

Since The vertex of the graph of g is 18 units below the vertex of the graph of w so the above functions should be considered.

Therefore, The pair of functions that used for developing the graph of g and w is [tex]q(x)=18x^2\ and\ W(X) = x^2[/tex]

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FREE BRAINLIEST!!!!!!!!!!!!!!!!!!
Given
f
(
x
)
=
2
3
x

1
, complete Parts A and B.

Part A: Using the table provided, create five points to demonstrate that for the function
f
(
x
)
=
2
3
x

1
, there is exactly one output value for each corresponding input value. In your final answer, include all calculations and the completed table.


x

y






Part B: On a separate sheet of paper, use the points created in Part A to graph the function
f
(
x
)
=
2
3
x

1
. Label the values on the
x
- and
y
-axes, and all points on the graph.

Answers

Answer:

Hi So the anser is 5

Step-by-step explanation:

One number is 2 less than a second number.twice the second number is 37 more than 5 times the first. Find more the two number

Answers

Answer:

The numbers are -11 and -9.

Step-by-step explanation:

The two numbers are x and y.

x = y - 2

2y = 5x + 37

2y = 5(y - 2) + 37

2y = 5y - 10 + 37

3y = - 27

y = -9

x = - 11

y= -1/2x-3 . Pease answer quickly, thank you <3

Answers

Answer:

Step-by-step explanation:

y = f(x) = - [tex]\frac{1}{2}[/tex] x - 3

f(- 4) = - [tex]\frac{1}{2}[/tex] (- 4) - 3 = - 1

f( - 2) = - [tex]\frac{1}{2}[/tex] (- 2) - 3 = - 2

x ║ - 4 ║ - 2 ║ 0 ║ 2 ║ 4 ║

y ║ - 1 ║ - 2 ║ - 3║- 4║- 5║

The radius of a circle is 16.7 in. Find the circumference to the nearest tenth.

Answers

The correct circumference is 105 inches.
16.7 inches times 3.14 in or pie, equals 52.4 inches, and because you were given the radius and not the diameter, you multiply 52.4 inches by 2 to get 104.9 or 105 inches.

The circumference of the circle is 105 in to the nearest tenth.

What is the circumference of the circle?

The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

We are given that the radius of a circle is 16.7 in.

We need to determine the circumference to the nearest tenth.

Radius r = 16.7

Then circumference of the circle = 2πr

= 2 x 3.14 x 16.7

= 104.87

Therefore, the circumference of the circle is 105.

Learn more about circumference here;

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Find the missing term ___,48,12,3

Answers

3*4 is 12, 12*4 is 48, 48*4 is 192, so the answer is 192

Answer:

192

Step-by-step explanation:

It’s the answer

What is the length of BC?
O 11
O 23
O 40
O 60
Plz help

Answers

Answer:

BC = 40

Step-by-step explanation:

Answer:

X=23

BC = 40

Step-by-step explanation:

Find all solutions by factoring.
c? + 13c + 40 = 0

Answers

Answer: c = -5, -8

Step-by-step explanation:

c^2 +13c+40=0

(c+5)(c+8)=40

c = -5, -8

Ixl help me please and thanks!!!!

Answers

Seeing that both triangles are side by side and share a side, we know that that side of both triangles is congruent.

Then when you look at the angles, you will see that one on each triangle has one curved line. This one curved line shows that these angles are congruent.

There is then the two curved lines you can find on both triangles as well. This shows that both those angles are congruent.

With this information, you should be able to tell that two angles of the triangles are congruent, and one side of both triangles are congruent, with the order that these are shown on the triangles being an angle, then a side, then another angle, the answer would be ASA, or angle, side angle.

A town population of 14000 and grows 3.5% every year. What will be the population after 14 years to the nearest whole number

Answers

Answer:

22662

Step-by-step explanation:

Since the growth is exponential, your equation will be y = a • b^x. a being the beginning amount, b the percentage it increases by, and x is the time taken.

y = 14000 • 1.035^14

  = 22661.72

Round your answer since people can only be integers and your answer is a population of 22662  

Question - Which image shows a 90 degree clockwise rotation about the origin?

Can somebody help me with this. Will mark brainliest!

Answers

Answer:

Choice 1!

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 22°

3x + 2 = 64°

Step-by-step explanation:

All angles in a triangle must add up to 180°

90 + x + 3x + 2 = 180

Rearrange and collect like terms and place them on either side

4x = 88

x = 22°

3x + 2

3(22) + 2

= 64°

Michelle plans on raising $80 for her softball team. To raise the money, she is selling team shirts for $10 each.
So far she has raised $20. To calculate how many more shirts she needs to sell, Michelle subtracts 20 from 80
and then divides by 10.
Which of the equations below can be solved using the same steps?
A. 10.0 + 20 = 80
B. 200 + 10 = 80
C. 80.0 - 200 = 10
D. 102 + 20= 80

Answers

Answer:

what none of these make sense


Question 7 options:

y = -15


y = 15


y = 8


y = 2

Answers

Answer:

where is the question .pls send the question

Answer:

Insufficient evidence to give an answer. What is the question?

11) How many kilograms of How many kilograms of calcium are there
in 173 pounds of calcium? (1 lb = 454 g; 1
kg 1000 g)
A) 78.5 kg
B) 110 kg
C) 78500 kg D) 1.10 kg

Answers

Answer. A. 78.5 kg
Explanation. First, we must convert the lbs into grams, we can do this my multiplying 454 by 173 and get 78,500. Then convert it to kg, there are 1,000 g in a kg do divide 78,500 by 1,000 to get 78.5 kg. Let me know if it’s correct so others can use it. Brainliest would be appreciated.
Good luck :)

The kilogrammes of calcium found in 173 pounds of calcium is = 78.5 kg. That is option A.

First convert the 173 pounds of calcium to gramma

1 lb(pounds) = 454 g;

Therefore 173 pounds = 173 ×454

                                    = 78,542g

But,             1000 g = 1kg

Therefore, 78542g = 78542  ÷1000

                                = 78.542

                                =78.5kg.

Therefore, the kilogrammes of calcium found in 173 pounds of calcium is = 78.5kg.

Learn more here:

https://brainly.com/question/9301317

                 

The graph shows the number of each kind of book in Hero's personal library. A book is
chosen randomly.
What is the probability that the book is a romance book?

Answers

Answer:

[tex]\displaystyle p=\frac{1}{15}[/tex]

Step-by-step explanation:

Probability

The simple probability of a random event can be calculated as the ratio between the possible favorable cases and the total possible cases.

The pie chart shows the number of books in Hero's library grouped by category.

The total number of books is 14 + 10 + 4 + 2 = 30

The number of romance books is 2

Thus, the probability of randomly choosing a romance book out of the total books is:

[tex]\displaystyle p=\frac{2}{30}[/tex]

Simplifying:

[tex]\mathbf{\displaystyle p=\frac{1}{15}}[/tex]

This corresponds to the first option

Answer:

1/15

or

[tex]\frac{1}{15}[/tex]

explanation:

The ratio of fiction to non-fiction books at school library is 3 to 5. If there are 240 books in the library how many non-fiction books are in the library?

Answers

Answer:

150

Step-by-step explanation:

The ratio is 3:5, so you can make this equation:

[tex]3x+5x=240[/tex], because for any integer x, the ratio will stay the same.

solve that:

[tex]3x+5x=240\\8x=240\\x=30[/tex]

We're not down yet!

we need to find 5x, not x.

[tex]5*30=150[/tex]

There are 150 non-fiction books in the library.

check!

150+90=240

The are 150 non-fiction books are in the library.

What is ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

The ratio of fiction to non-fiction books at school library is 3 to 5.

Total books = 240

So, the number of non fiction books

= 240 x 5/8

= 30 x5

= 150

Hence, there are 150 non fiction book.

Learn more about ratio here:

https://brainly.com/question/13419413

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Which event prevented Descartes from publishing The World after he was done writing the book? serving as a soldier during the Thirty Years’ War accepting an invitation to tutor the queen of Sweden awaking from sleep due to three vivid dreams learning of Galileo’s imprisonment

Answers

Learning of Galileo’s imprisonment. You can also look this up on Brainly and Google

Answer:

Learning of Galileo’s imprisonment

Step-by-step explanation:

I just went over this last week and i am 100% sure that this is correct

Thomas went to the store to buy video games for $13.50 each and controllers that cost $55 each and controllers. the total amount that Thomas spent can be represented by c=13.50+p, where c is the total cost, g is the number of games he bought, and p is the cost of the controllers. the controllers cost $55 and Thomas spent $136 total

Answers

Answer:6 games

Step-by-step explanation:

Thomas spent a total of 136 dollars so you subtract 55 from 136 and divide by 13.50 to get 6.

Which inequality is represented by the number line?
PICTURE ATTACHED PLEASE HELP ME!!!

Answers

Answer:

A i think

Step-by-step explanation:

cause its gonna be more than 6- so yeah if it is right then b

Write the equation in y=Mx+B

Answers

Answer:

y=2x-2

Step-by-step explanation:

y intercept is (0,-2) so that is b value. slope is 2 so that is your m value

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