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mr_godi [17]
3 years ago
11

Consider the parametric curve:

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
7 0

By the chain rule,

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}=\dfrac{4\sec t\tan t}{3\sec^2t}=\dfrac43\sin t

When t=\pi, we have

\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{t=\pi}=\dfrac43\sin\pi=0

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What is the value of x in the right triangle below? Show your work and round your answer to the nearest hundredth. ​
navik [9.2K]

The length of the hypothenuse or the value of x is equal to 19.53

Data;

  • hypothenuse = x
  • adjacent = 11.2
  • opposite = 16
<h3>Pythagoras's Theorem</h3>

To solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.

The formula for this is

x^2 = y^2 + z^2\\

Let's substitute the values and solve for the missing side

x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53

The length of the hypothenuse or the value of x is equal to 19.53

Learn more Pythagoras theorem here;

brainly.com/question/3317136

6 0
2 years ago
Find the length of arc RQ. Use 3.14
Helen [10]

Answer:

The length of arc PQ is 8.1 inches.

Step-by-step explanation:

First, you have to find the angle of POQ. Given that total angles in a circle is 360°, so you have to subtract to get ∠POQ :

73 + 150 + 65 + ∠POQ = 360

288 + ∠POQ = 360

∠POQ = 360 - 288 = 72

Next, you have to apply length of arc formula, Arc = θ/360×2×π×r where θ represents the angle of arc and r is the radius of circle :

arc =  \frac{θ}{360}  \times 2 \times \pi \times r

let \: θ = 72,\pi = 3.14,r = 6.48

arc =  \frac{72}{360}  \times 2 \times 3.14 \times 6.48

arc = 8.1 \: inches \: (near.tenth)

7 0
3 years ago
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Answer True

Step-by-step explanation:

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5 0
3 years ago
I need help ! For a major quiz grade. Can y’all tell me what is the answer ?
slava [35]

Answer:The answer is C

Step-by-step explanation:

3 0
3 years ago
4X-8 + 6x +13= 90 ¿cual es le resultado ?
eimsori [14]
4x - 8 + 6x + 13 = 90
4x + 6x = 90 + 8 - 13
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10x/10 = 85/10
x = 8.5
4 0
3 years ago
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