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stiv31 [10]
3 years ago
10

About how much cardboard is needed to make the inner tube for a roll of paper if the

Mathematics
1 answer:
Korvikt [17]3 years ago
8 0

Answer:

A=339.42\ cm^2

Step-by-step explanation:

The diameter of the roll of paper, d = 4.5 cm

Radius, r = 2.25 cm

Height of the roll of papaer, h = 24 cm

We need to find how much is needed to make the inner tube for a roll of paper. The surface area of a cylinder for inner tube is given by :

A=2\pi r h\\\\=2\times \dfrac{22}{7}\times  2.25\times 24\\\\=339.42\ cm^2

So, the required area is 339.42\ cm^2.

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(Photo attached) Trig question. Thanks in advance! :)
kolbaska11 [484]

Answer:

  a) cos(α+β) ≈ 0.8784

  b) sin(β -α) ≈ -0.2724

Step-by-step explanation:

There are a couple of ways to go at these. One is to use the sum and difference formulas for the cosine and sine functions. To do that, you need to find the sine for the angle whose cosine is given, and vice versa.

Another approach is to use the inverse trig functions to find the angles α and β, then combine those angles and find find the desired function of the combination.

For the first problem, we'll do it the first way:

  sin(α) = √(1 -cos²(α)) = √(1 -.926²) = √0.142524 ≈ 0.377524

  cos(β) = √(1 -sin²(β)) = √(1 -.111²) ≈ 0.993820

__

a) cos(α+β) = cos(α)cos(β) -sin(α)sin(β)

  = 0.926×0.993820 -0.377524×0.111

  cos(α+β) ≈ 0.8784

__

b) sin(β -α) = sin(arcsin(0.111) -arccos(0.926)) ≈ sin(6.3730° -22.1804°)

  = sin(-15.8074°)

  sin(β -α) ≈ -0.2724

4 0
3 years ago
The information below explains the transformations and translations of a logarithmic function. What is the equation for this fun
maks197457 [2]

The transformed function is y = 1/3(log(x/3 + 4)) + 1

<h3>How to transform the logarithmic function?</h3>

The parent logarithmic function is

y = log(x)

When shifted left by 4 units, we have:

y = log(x + 4)

When shifted up by 3 units, we have:

y = log(x + 4) + 3

When compressed vertically by 1/3, we have:

y = 1/3(log(x + 4) + 3)

This gives

y = 1/3(log(x + 4)) + 1

When stretched horizontally by 3, we have:

y = 1/3(log(x/3 + 4)) + 1

Hence, the transformed function is y = 1/3(log(x/3 + 4)) + 1

<h3>The transformation of function f(x)</h3>

We have:

f(x) = log[-(x – 5)] + 4

Set the radicand greater than 0

-(x - 5) > 0

Divide by -1

x - 5 < 0

Add 5 to both sides

x < 5 -- this represents the domain

A logarithmic function can output any real number.

So, the range is -\infty < f(x) < \infty

In the domain, we have:

x < 5

This means that the interval of decrease is -\infty < x < 5

Rewrite as an equation

x = 5 --- this represents the equation of asymptote

Read more about logarithmic functions at:

brainly.com/question/12708344

#SPJ1

6 0
1 year ago
An atom of the element zinc has an atomic number of 30 and a mass number of 65. How many protons does an uncharged zinc atom hav
777dan777 [17]

the answer is A)30

Hope it helps

4 0
3 years ago
Can you give me a word problem that can be solved by finding the difference of 432,906 and 61,827.
notka56 [123]
Laurence bought 432,906 lbs of soil for her garden. She only used 61,827 lbs. How much lbs of soil does she have left over?

7 0
3 years ago
Read 2 more answers
I don’t know the answer I just need some points to ask more questions !!! have a good day !!
Vlad [161]

Answer: Ooh, okay. Have fun then I guess.

7 0
3 years ago
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