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lora16 [44]
3 years ago
7

Find the surface area of a cylinder with a base radius of 2 cm and a height of 8 cm

Mathematics
1 answer:
gtnhenbr [62]3 years ago
6 0

Answer:

82.6cm2

Step-by-step explanation:

\pi {r}^{2}  + \pi {r}^{2}  + 2  \pi \: r h

\pi =  \frac{22}{7}

radius =2cm

height=8cm

( \frac{22}{7}  \times 2 \times 2 )+ ( \frac{22}{7}  \times 2 \times 2) + (2 \times  \frac{22}{7}  \times 2 \times 8)

Multiplying the numerators and The whole numbers, we have

\frac{88}{7}  +  \frac{88}{7}  +  \frac{402}{7}

Since the denominators of the fractions are the same, we add the numerators.

\frac{88 + 88 + 402}{7}  =  \frac{578}{7}  \\ which \: becomes \\

82.57{cm}^{2}  = 82.6 {cm}^{2}

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Write each expression as an algebraic​ (nontrigonometric) expression in​ u, u > 0.
max2010maxim [7]

Answer:

\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0

Step-by-step explanation:

We want to write the trignometric expression:

\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)

Take the secant of both sides:

\displaystyle \sec(\theta)=\frac{u}{10}

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}

By substitutition:

\displaystyle= \sin(2\theta)

Using an double-angle identity:

=2\sin(\theta)\cos(\theta)

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)

Simplify. Therefore:

\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0

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Which inequality is true for x = 2?
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B is the true inequality
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Help I'm not sure if this is the answer?<br><br> (This question is about trigonometric ratios)
dem82 [27]

9514 1404 393

Answer:

  (b) 15.32

Step-by-step explanation:

You can use your triangle sense to answer this.

The side x will always be shorter than the hypotenuse, 20. This eliminates the last two choices.

If the angle is 45°, then the sides are equal at about 0.707 times the length of the hypotenuse. That would make them 0.707×20 = 14.14. Since the angle is greater than 45°, the opposite side will be greater than 14.14. Only one answer choice fits between 14 and 20: the second choice -- 15.32.

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The mnemonic SOH CAH TOA reminds you of the relation ...

  Sin = Opposite/Hypotenuse

  sin(50°) = x/20

  x = 20×sin(50°) . . . . multiply by 20 to find x

  x ≈ 15.32 . . . . . . . . . use your calculator to evaluate

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The attachment is intended to show how the triangle side lengths change with angle.

3 0
3 years ago
One afternoon in January, the temperature outside was -4*F. By midnight, the temperature had dropped by 10*F. what was the tempe
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Answer:

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4 0
2 years ago
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please answer the two question and how you answered it NO LINKS AND NO WEBSITES I really need help with this.​
kobusy [5.1K]

Answer:

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x=10

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USED ELIMINATION BC THERE WAS ALREADY A Y AND -Y

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