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

Solve using Elimination

3x+y=-9
y=5x+7

Answers

Answer

x=-2 and y=-3

Step-by-step explanation:

Step: Solvey=5x+7for y:

Step: Substitute5x+7 for y in 3x+y=−9:

3x+y=−9

3x+5x+7=−9

8x+7=−9(Simplify both sides of the equation)

8x+7+−7=−9+−7(Add -7 to both sides)

8x=−16

8x/8=−16/8

(Divide both sides by 8)

x=−2

Step: Substitute−2 for x in y=5x+7:

y=5x+7

y=(5)(−2)+7

y=−3(Simplify both sides of the equation)

[tex]\sqrt{8}+\sqrt{18}-\sqrt{32}[/tex]

Answers


√8+√18−√32
√2^2·2+√3^2·2−√2^4·2
√2^ 2·√2+√3^2·√2−√2^4·√2


√2 is the answer

2(t+1)=10 what does t equal

Answers

Answer:

t = 4

Step-by-step explanation:

1. 2*t = 2t

2. 2*1 = 2

3. 2t+2 = 10

4. 10-2 = 8

5. 2t = 8

6. 8/2 = 4

7. t = 4

Answer:

t = 4

Step-by-step explanation:

2(t + 1) = 10

2t + 2 = 10

2t = 10 - 2

2t = 8

t = 8 ÷ 2

t = 4

-TheUnknownScientist

what is 6.85 times 2 times 10?

Answers

Answer:

137

Step-by-step explanation:

:)

The function rule of a certain function is y = -3x + 1. If the input is 7, what is the output?

Answers

Answer:

-20

Step-by-step explanation:

y = -3x+1

if the input is 7, it means x=7 so substitute in the equation

y= -3*7+1 = -21+1= -20 which is the output

If 4(r + 2) – 13 = 11, what is the value of r?

Answers

r=8
Hope this helps:)

how much time will it take for the plane to land?

Answers

Answer:

Again assuming we're cleared for immediate take off, it takes around 20 minutes to climb to cruise altitude, at an average ground speed of (say) 200 knots. This means we've covered about 70 miles, which the cruising aircraft would have covered in just over 10 minutes. So this final phase has cost us another 10 minutes

7. Elijah's puppy weighs 35 ounces. If he weighed 19 ounces at the last visit
to the veterinarian's office, what is the percent increase in the puppy's
weight rounded to the nearest whole number?

Answers

Answer:

40 make me brainliest whbsbsvssvvsgwvwv

Answer:

52%

Step-by-step explanation:

so 35 is a hundred and the divide by 2 which is 17.5 and round the colosestwhich is 52

A stadium charges $75 for each seat in section A, $50 for each seat in section B, and $40 for section C. There are three times as many seats in section B as in section A. The revenue from selling odd 20,000 seats is 897,500. Write a system to represent the situation.

A. b=3×c
a+b+c=20,000
75a+50b+40c=897,500

B. b=3×a
a+b+c=20,000
75a+50b+40c=897,500

C. a=3×b
a+b+c=20,000
40a+50b+75c=897,500

D. a=3×b
a+b+c=20,000
75a+50b+40c=897,500​

Answers

Answer:

B. b=3×a

a+b+c=20,000

75a+50b+40c=897,500

Step-by-step explanation:

A stadium charges

$75 for each seat in section A

$50 for each seat in section B

$40 for section C.

There are three times as many seats in section B as in section A.

a = 3× b

The revenue from selling odd 20,000 seats is 897,500.

a + b + c = 20,000 seats

Hence,

$75 × a + $50 × b + $40 × c = 897,500

75a + 50b + 40c = 897,500

Hence, the system of equations is :

B. b=3×a

a+b+c=20,000

75a+50b+40c=897,500

someone help me with this please

Answers

Answer:

7.5+8

Step-by-step explanation:

2x to the power of negative 1, multiplied by 4x squared equals

Answers

Answer:

=-8x^3

Step-by-step explanation:

=2x^-1×4x^2

=-2x×4x^2

=-8x^3

(2x)⁻¹ × (4x)² = 8x

2x to the power of negative 1 is represented as follows

(2x)⁻¹

The value((2x)⁻¹) multiplied by 4x squared is represented as follows

(2x)⁻¹ × (4x)²

Therefore,

(2x)⁻¹ × (4x)²  = (2x)⁻¹ × 16x²

(2x)⁻¹ × 16x²  = [tex]\frac{1}{2x}[/tex] × 16x²

[tex]\frac{1}{2x}[/tex] × 16x²  = 8x

Read more here: https://brainly.com/question/17562073?referrer=searchResults

Consider this polynomial function. p(x)= x+3 + 7x^2 - 4x - 28 What is the remainder when is divided by each of these expressions? Type the answer in each box. Use numerals instead of words. For help, see this

Answers

Answer:

x-3:  50

X+4: 36

Step-by-step explanation:

Answer: 50

36

Step-by-step explanation:

Is the graph linear or non-linear?

Answers

Answer:

Linear.

Step-by-step explanation:

A easy way to remember is Linear has the word line in it and Non-linear has the words no line in it. To solve the table, you can graph the points, and if you get a straight line it's linear. If you don't want to graph the points, then you need to make sure there is a pattern. The x's go up by 3 every-time and the y's go up by 5 every time. This table is linear. Hope this helps!

the value of y varies directly with x. when y = 7.5, x = 5. what is the value of y when x = 80?.

Answers

Answer:

Step-by-step explanation:

120 = y. the ratio is 3:2

80/2 is 40

40 times 3 is 120

120:80 = 3:2

Hiker's Elevation 3,000 Hiking The scatter plot shows a hiker's elevation above sea level during a hike from the base to the top of a mountain. The equation of a trend line for the hiker's elevation is y=9.84x + 651, where x represents the number of minutes and y represents the hiker's elevation in feet. Use the equation of the trend line to estimate the hiker's elevation after 140 minutes. ​

Answers

Answer:

2023

Step-by-step explanation:

Today, everything at a store is on sale. The store offers a 20% discount.

a. The regular price of a T-shirt is $18. What is the discount price?

Type the answer in the box below.

$


b. If the regular price of an item is x dollars, what is the discount price in dollars?

Type the correct expression in the box below.

$$


c. The discount price of a hat is $18. What is the regular price?

Type the answer in the box below.

$

Answers

Answer:

A. $14.40

B. ?

C. $21.60

Step-by-step explanation:

I just know it’s right lol

Hershey Park is a popular field trip destination. This year Peirce and Stetson both planned trips there. Peirce rented and filled 16 vans and 8 buses with 752 students. Stetson rented and filled 5 vans and 5 buses with 380 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?

Answers

A can can hold 18 kids! A bus can hold 58 kids!
A can can holp 5 kids lol

Richard spent $30 at a store. He spent $14 on a book and bought some CD's at $4 each. How
many CD's did Richard buy at the store? Write an equation to represent the problem, then
solve.

Answers

Answer:

4

Step-by-step explanation:

30 minus 14 = 16 and 16 divided by 4 is 4. so the answer is 4

Can u help my 9-12 real quick

Answers

Answer:

9. B

10. C

11. A (probably)

12. D

Answer:

9) a

10) c

11) a

12) d

( I don't know if 11 and 12 are correct)

What is 2x(3+x2) when x = −2?

Answers

it would be -4 i think

come back and tell me if im wrong

Find the angle measures.
Justify your responses.

Given: a//b, m1 = 71 degrees

Find: m5 , m8

SHOW YOUR WORK OR I WILL NOT GIVE YOU BRAINLIEST ANSWER! THANK YOU

Answers

Answer:

The measure of angle MNP is

m ∠ MNP =  (x - y)/2

Explanation:

The image attached shows the figure corresponding to this question.

The angle MNP, which is also the angle LNP, is formed by the intersection of a secant and a tangent to a circle.

Then, you can use the theorem:

the angle formed by a secant and a tangent to a circle that intersect outside the circle is half the difference of the major arc minus the minor arc.

The major arc formed is identified with the letter x and the minor arc is identified with the letter y. Thus, the measure of the angle MNP is half the difference x - y:

m ∠ MNP = (x - y)/2

Brainleist please

:(((
Mrs. Roslin has 32 students in her class. Of these students, 14 are girls. She chooses one boy and one girl at random to help pass out papers. Determine the total number of outcomes.
(Basically how many different outcomes can be made... no explanation needed.)

Answers

Answer:

2 outcomes

Step-by-step explanation

The Roslin has 32 students in her class, of these students, 14 are girlsl number of outcomes are 252.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The total number of outcomes can be found by multiplying the number of options for choosing a boy by the number of options for choosing a girl:

Number of outcomes = number of options for choosing a boy x number of options for choosing a girl

Since Mrs. Roslin has 32 students in her class, there are 32 - 14 = 18 boys in her class.

So the number of options for choosing a boy is 18, and the number of options for choosing a girl is 14.

Therefore, the total number of outcomes is:

18 x 14 = 252

Hence, the total number of outcomes is 252.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ3

Find the distance traveled at 35 mi./hr for 2.5 hr

Answers

Answer:

5.0

Step-by-step explanation:

Answer: 87.5 miles

Step-by-step explanation:

Using the distance formula, S*T=D

35*2.5=87.5 miles

Hope is this helpful! :DD

1)There are whole numbers that are not integers.
true or false

2)All rational numbers are whole numbers.
true or false


3)All integers are whole numbers.
true or false

4)All integers are rational numbers.
true or false

Answers

Answer:

1).false 2). false 3).true 4). true

Step-by-step explanation:

1).All whole numbers are integers, so s...” That's right! All whole numbers are integers, so since 0 is a whole number, 0 is also an integer.

3).. Integers include all whole numbers and their negative counter part e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… Where a and b are both integers. is a rational number but not an integer. 4). All integers are rational number. Since we can rewrite an integer into a fractional form by diving it by 1. For example, 4=41 4 = 4 1 . But not all rational numbers are integer.

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[tex]

1) \: \: \: \: False[/tex]

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[tex]

2) \: \: \: \: False[/tex]

[tex]Exam)\frac{1}{2} \: \: is \: \: rational \: \: but \: \: it \: \: is \: \: not \: integer \\ [/tex]

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[tex]

3) \: \: \: False[/tex]

[tex]Exam)- 1 \: \: is \: \: integer \: \: but \: \: it \: \: is \: \: not \: \: whole \: \: number \\ [/tex]

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[tex]4) \: \: \: \: True[/tex]

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Solve 2c − 8f = 24 for f. Show your work.

Answers

Answer:

f=2 c=4

Step-by-step explanation:

8 times 2 equals 16 plus 2 times 4 equals 24 in total.

Factorise 3x^2 +37x+70

Answers

Answer:

If it needs to be factored by grouping the answer would be (3x+7) and (x+10).

Step-by-step explanation: I don't know how to explain but I hope this helped.

plss help ASAP
What is the ratio of blue shapes to all shapes in the set below?
4.9
5.9
4.5
5.4​

Answers

Answer:

5:9

Step-by-step explanation:

There are 5 blue shapes out of 9 total shapes.

5:9 would be the answer

Use the diagram to find the measure of angle KHL.

Answers

Answer:

m∠KHL = 43°

Step-by-step explanation:

From the picture attached,

m∠KHL ≅ m∠GHL [Given in the picture]

Now substituting the values of the angles,

(3x + 1) = (5x - 27)

1 + 27 = 5x - 3x

28 = 2x

14 = x

m∠KHL = (3x + 1)° = (3 × 14) + 1

                             = 42 + 1

                             = 43°

Therefore, measure of ∠KHL = 43°

Solve for x -1/2x < -12

Answers

Answer:

x < 24

Step-by-step explanation:

-1/2x < -12

1) Isolate x!

-1/2x < -12

×-2 ×-2

x < 24

Which statement is correctly written as a conditional statement?

A) Any four-sided shape is a quadrilateral.
B) A shape has four sides when it is a quadrilateral.
C) If a shape has four sides, then it is a quadrilateral.
D) A shape has four sides, or it is a quadrilateral.

Answers

Answer:

C

Step-by-step explanation:

If a shape has four sides, then it is a quadrilateral.

If a shape has four sides, then it is a quadrilateral so option (C) will be correct.

What is quadrilatereal?

A quadrilateral is a geometrical 2d shape in which there are four sides and each side is connected and makes a close polygon.

In other meaning, a quadrilateral is a kind of polygon in which four sides for example rectangle, square, and parallelogram are quadrilateral.

a quadrilateral is a four-sided polygon, having four edges and four corners

A parallelogram is a basic quadrilateral with two sets of parallel sides.

The confronting or opposing sides and the opposing angles of a parallelogram are of equal length.

A quadrilateral is a quadrilateral because it has four sides not because it is quadrilateral so it has four sides.

For example, 4 sides are equal so the square is not due to the square all lines will same.

Hence If a shape has four sides, then it is a quadrilateral.

To learn more about quadrilateral,

https://brainly.com/question/13805601

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