(Answer with steps please)

Skateboarders use half pipes for doing tricks A half-pipe is similar to a half cylinder which is not enclosed on the ends.

a. Explain how you could manipulate the surface area formula for a cylinder to calculate the curved surface area of the half pipe.

b. To the nearest square metre, calculate the curved surface area of the half pipe if it is 9 m long?

(Answer With Steps Please)Skateboarders Use Half Pipes For Doing Tricks A Half-pipe Is Similar To A Half

Answers

Answer 1

Answer:

Step-by-step explanation:

a). Total surface area of cylinder is defined by sum of curved surface area and surface area of the top and bottom.

Total surface area = 2πrh + 2πr²

Skateboarders use a half pipe structure which are not closed at the ends.

Therefore, curved surface of the half pipe = [tex]\frac{2\pi rh}{2}[/tex]

                                                                      = πrh

b). If r = 2.5 m and h = 9 m,

Curved surface area of the half pipe = π(2.5)(9)

                                                             = 70.69 m²

                                                              ≈ 71 m²


Related Questions

please show work it’s for calc

Answers

Answer:

-93

Step-by-step explanation:

This is just.a matter of using a couple of integration rules and plugging in then using order of operations.

Difference rule and constant multiple rule will be used here.

3(-17)-7(6)

-51-42

-93

Answer:

[tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = -93[/tex]

General Formulas and Concepts:

Calculus

Integration

Integrals

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^6_4 {f(x)} \, dx = -17[/tex]

[tex]\displaystyle \int\limits^6_4 {g(x)} \, dx = 6[/tex]

[tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx[/tex]

Step 2: Integrate

[Integral] Rewrite [Integration Property - Addition/Subtraction]:               [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = \int\limits^6_4 {3f(x)} \, dx - \int\limits^6_4 {7g(x)} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]:              [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = 3 \int\limits^6_4 {f(x)} \, dx - 7 \int\limits^6_4 {g(x)} \, dx[/tex][Integrals] Substitute:                                                                                    [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = 3(-17) - 7(6)[/tex]Simplify:                                                                                                         [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = -93[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

For problems 1 - 4, identify whether each figure is a point, line, or line segment. Then write its name.

Please help! Was due yesterday!

Answers

Answer:

1. Line segment 2. Point 3. Line 4. Line Segment

Calculate the value of x for the following equations. Show your working.​

Answers

Answer:

0.86603 is the answer of the question

Answer:

x = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

Given

64[tex]x^{\frac{1}{2} }[/tex] = 27[tex]x^{-\frac{5}{2} }[/tex] ( divide both sides by [tex]x^{-\frac{5}{2} }[/tex] )

64 × [tex]\frac{x^{\frac{1}{2} } }{x^{-\frac{5}{2} } }[/tex] = 27

64 × [tex]x^{\frac{1}{2}-(-\frac{5}{2}) }[/tex] = 27

64 × [tex]x^{\frac{1}{2}+\frac{5}{2} }[/tex] = 27

64 x³ = 27 ( divide both sides by 64 )

x³ = [tex]\frac{27}{64}[/tex] ( take the cube root of both sides )

x = [tex]\sqrt[3]{\frac{27}{64} }[/tex] = [tex]\frac{\sqrt[3]{27} }{\sqrt[3]{64} }[/tex] = [tex]\frac{3}{4}[/tex]

of (3, -2) reflected across the line x = 1 is?

Answers

Answer:  (-1, -2)

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

Explanation:

Plot (3,-2) on the xy grid. Then draw a vertical line through 1 on the x axis.

Note that the horizontal distance from the point to the line is exactly 2 units. We move 2 units to the left to go from (3,-2) to (1,-2). Then we move another 2 units to the left to arrive at the final destination of (-1, -2)

In short, (3,-2) reflects over the vertical line x = 1 to get to (-1, -2)

See the diagram below.

(SAT Prep) Find the value of x

Answers

25°+x=45°+15°25°+x=60°x=60°-25°x=35°

I hope it will be helpful andplease mark this answer as brainlist

Answer:

55°

Step-by-step explanation:

It should be:

x - 25 = 45 - 15x = 30 + 25x = 55

Find the Length of the missing side of the right Triangle using the Pythagorean Theorem. Round your answers to
the nearest tenth. Please show your work in the "Show your work" text box. Draw a Picture!
The size of a television screen is given by the length of the diagonal of
the screen. What size is a television screen that is 21.6 inches wide and
16.2 inches high?
Show Your Work
O 22.5 in
18.4 in
27 in
O 13.2 in

Answers

Answer:

27 inches

Step-by-step explanation:

We can use The Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

21.6 ^2 + 16.2^2 = c^2

466.56+262.44 = c^2

729 = c^2

Taking the square root of each side

sqrt(729) = sqrt(c^2)

27  = c

Can u help solve this problem

Answers

Answer:

45in³

Step-by-step explanation:

6 x 5 x 3 = 90/2 = 45in³

the correct answer is 45 in^3


During one week, David worked 16 hours at his normal hourly rate and
7 hours at his time and a half rate. His total pay for the week was
$848.
What is David’s normal hourly rate?

Answers

Answer:

43.49

Step-by-step explanation:

let his normal hourly rate be x

16x+7x/2=848

39x/2=848

x=848 ÷ 39/2

=43.48717

David’s hourly rate is 106 dollars an hour

Find the quotient. Write your answer in scientific notation.
(4.2×10^2)÷(1.5×10^3)=

Answers

0.28

Hope this helps!

Pls help me with this question ASAP

Answers

Answer:

8

Step-by-step explanation:

(3+5)^2/8=(8)^2/8=64/8=8

Answer: 8

Step-by-step explanation:

(3+5)^2/8=

(8)^2/8=

64/8=

8

Find the perimeter and area , Please help me on this will give brainlist

Answers

Answer:

Area: x^2+x-6

Perimeter: 4x+2

Step-by-step explanation:

Area: multiply x+3 and x-2 and combine the like terms

Perimeter: multiply the length and width by two, then combine the like terms.

Which diagram shows lines that must be parallel lines cut by a transversal?

Answers

Answer:

Step-by-step explanation:

B

The first diagram shows lines that must be parallel lines cut by a transversal.

Given that, two diagrams out of which we are to select the one which shows lines must be parallel lines cut by a transversal.

In the first figure, the sum of two interior angles is given by

115° + 65° = 180°

which shows that the two lines cut by a transversal are parallel.

So, this option is correct.

In the second figure, the sum of two angles on a straight line is given by

115° + 65° = 180°

which shows that a straight angle is of measure 180°, which does not have any relation in proving the two lines to be parallel.

So, this diagram is not correct.

Thus, the first diagram is the correct option.

To learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ5

someone please help!!

Answers

Answer:

f(-8) = 64

Step-by-step explanation:

Since x =-8, we need to use x^2 since -8 <0

(-8)^2 = 64

When x = -8 f(-8) = 64

Answer:

B

Step-by-step explanation:

There are 2 functions, one if x > 0 and one if x < 0

The x we are given is -8, and -8 is less than 0

Plug -8 into the function for if x < 0, which is x^2

(-8)^2=64

using trig to solve for missing angles

Answers

Answer:

? = 32.20422

Step-by-step explanation:

We know the adjacent side and the hypotenuse

cos ? = adj / hyp

cos ? = 33/39

cos ? = 11/13

Taking the inverse cos of each side

cos ^ -1( cos ?) =  cos^-1(11/13)

? = 32.20422

What is the Greatest Common Factor of thepolynomial 3x - 3y ?

Answers

Answer:

3

Step-by-step explanation:

At the city museum, child admission is and adult admission is . On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of . How many child tickets were sold that day

Answers

Complete question :

At the city museum, child admission is $6.30 and adult admission is $9.80. On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1178.10 . How many child tickets were sold that day?

Answer:

33 children ticket

Step-by-step explanation:

Let :

Number of Child admission = x

Number of Adult admission = y

On Wednesday ;

y = 3x

9.80y + 6.30x = 1178.10

9.80(3x) + 6.30x = 1178.10

29.40x + 6.30x = 1178.10

35.70x = 1178.10

x = 1178.10 / 35.70

x = 33

monica has $340 in the bank and plans to save $10 per week. is this linear or exponential?

Answers

Answer:

linear. Each week adds another 10 dollars.

Step-by-step explanation:

Total = 340 +  10*w

w is the weekly amount

Suppose 5 weeks pass

Then the total amount in her bank account is

Total = 340 + 10*5

Total = 340 + 50

Total = 390

The equation is Linear.

Helpppppp pleaseeee anyoneeeee!!!!!

Answers

Answer:

Create a function representing number of published articles per month:

[tex]a=12m+60[/tex]

Where:

a = total number of articles publishedm = number of months12 = slope = number of articles published per month60 = y-intercept = number of published articles at the start (month 0)

Now substitute in the values of m to get the a-value:

m = 1 → a = 12(1) + 60 = 72m = 3 → a = 12(3) + 60 = 36 + 60 = 96m = 4 → a = 12(4) + 60 = 48 + 60 = 108m = 9 → a = 12(9) + 60 = 108 + 60 = 168

Find tan a Picture included

Answers

Answer:

5/12

Step-by-step explanation:

We know its a right angled triangle because of phythogorean theorem,

h^2=p^2+b^2

Take angle A as reference,

13^2=12^2+5^2

or,169=144+25

169=169

Now,

We know,

Tanx=p/b

As we took angle A as reference,

p=5

b=12

h=13

Put that in tanx=p/b

We get,

tanx=p/b=5/12

Answer:

Step-by-step explanation:

[tex]tan \ A = \frac{opposite \ side}{adjacent \ side}\\\\tan \ A = \frac{5}{12}[/tex]

10 pipes can fill a tank in 16 minutes,in how many minutes would 8 pipes fill the same tank ,proportion question​

Answers

Answer:

Hello,

Step-by-step explanation:

The volume of the tank is V, p is number of pipes, t the time, k as constant.

V=k*p*t

V=k*10*16 ==> k=V/160

V=k*8*t

V=V/160*8*t ==>1=8/160*t ==> t=160/8=20

Time to use: 20 min.

This...ik what mean is I'm just trying to find what the original numbers would be? ​

Answers

Answer:

17.5

Step-by-step explanation:

all the 10 numbers added together equal 10*16 = 160

-this is because all of the numbers added, and then divided by 10 equals 16

so the numbers in total, added equal 160.

subtract 20 (7+13) from 160 = 140

divide by 8

140/8 = 17.5

Answer
17.5


Explanation 17×5 is five but 2×5 is seven so 7×10 is 10

2. If Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school, how many combinations of fruit can he bring?

Answers

Answer:

6 choose 3 = 20

Step-by-step explanation:

[tex]=\frac{n!}{r!\left(n-r\right)!}[/tex]

6 choose 3 = 20

The total combinations of fruit he can bring is 20 if Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school the answer is 20.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school

Total number of fruits = 1+1+1+1+1+1

Total number of fruits = 6

n = 6

He wants to bring three pieces of fruit to school,

r = 3

Total combination:

= C(6, 3)

= 6!/(6-3)!3!

= 720/(6)(6)

= 720/36

= 20 combination

Thus, the total combinations of fruit he can bring is 20 if Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school the answer is 20.

Learn more about permutation and combination here:

https://brainly.com/question/2295036

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please help geometry!!

Answers

Answer:

A' (-5, 5)

B' (20, 0)

C' (5, -15)

Step-by-step explanation:

Multiply each coordinate by 5, and your result is given above.

Answer:

Step-by-step explanation:

HELP ME PLS ITS URGENT

Answers

Answer: -3 (option D) is the answer.

(-8)-(-5)= -8+5 = -3

Answer:
-3
Explanation:
= (-8)-(-5)
= -8+5 (- and - is equal to +)
= -3
So the correct answer is D)-3
YOUR WELCOME☺️⭐️

Find the value of the constant m √150 - √12m + √54 = 0​

Answers

Answer:

m is 2

Step-by-step explanation:

[tex]{ \tt{ \sqrt{150} - \sqrt{12}m + \sqrt{54} = 0 }} \\ { \tt{ \sqrt{12}m } = \sqrt{150} - \sqrt{54} } \\ { \tt{ (\sqrt{4 \times 3}) m = ( \sqrt{25 \times 6} ) - ( \sqrt{9 \times 6}) }} \\ { \tt{( \sqrt{4 \times 3} )m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3}m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3} m = 2 \sqrt{6} }} \\ { \tt{ \sqrt{3} m = \sqrt{6} }} \\ { \tt{ \sqrt{3} m = ( \sqrt{3} \times \sqrt{2} ) }} \\ { \tt{m = \sqrt{2} }}[/tex]

A traveling salesman figures it costs 28
cents for every mile he drives his car. How much does it cost him (in dollars) a week to drive his car if he travels 315 miles a week?

Answers

I can use the equation .28(m) to solve this problem. If we plug in our numbers, we will get .28(315). This will give us 88.2. 88.2 is $88.2 dollars. Therefore, it costs him $88.2 dollars a week.

if a = 4 - √15, find a^4 +1\a^4

Hey! Please answer this question with steps. I will mark you brainliest.

Random answers like 'sdfgh' or wrong answers will be reported

Answers

Answer:

[tex](\frac{-3+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\[/tex]

Step-by-step explanation:

[tex]a=4-\sqrt{15}[/tex]

[tex]a^{4} +\frac{1}{a^{4} }\\=a^{2^{2} } +\frac{1}{a^{2^{2} } }\\\\=(x^{2} +\frac{1}{a^{2} } )^{2} -2a^{2} \frac{1}{a^{2} } \\=(a +\frac{1}{a } )^{2} -2a \frac{1}{a}-2\\=(4-\sqrt{15} +\frac{1}{4-\sqrt{15} }) ^{2} -4\\\=(\frac{16-15-4+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\=(\frac{-3+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\[/tex]

Someone please help me out!!!! Its a picture marking brainliest

Answers

Answer:

75.875m^2

Step-by-step explanation:

12-4=8

8x4=32

12x4=48

1/2(1.5+4)1.5=4.125

32+48-4.125=75.875

I need help ASAP!!Please explain how to do the problem

Answers

Answer:

[tex](x-2)^{2} + (y+3)^{2} = 16[/tex]

Step-by-step explanation:

999999999999999*22222222222222

Answers

Answer:

22222222222221977777777777778

Step-by-step explanation:

I hope it is clear for you. please rate brainliest

Answer: 2.22222222E+28

Step-by-step explanation:

please click thanks and mark brainliest if you like :)

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