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3 years ago

Given: m || n What is the value of x? x =

Mathematics

2 answers:

julia-pushkina [17]3 years ago

8 0

Answer: x=8
Explanation: 46 degrees is a vertical angle to the equation, and when you plus in 8 you get 48, then subtract 2 you end up with 46 degrees. Hope this helps.

deff fn [24]3 years ago

6 0

Answer:

They right

Step-by-step explanation:

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Y=x.arctan(x)^1/2. find dy/dx. pls show steps

Whitepunk [10]

$y=x(\arctan x)^{1/2}$

Use the product rule first:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dx}{\mathrm dx}(\arctan x)^{1/2}+x\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}$

$\dfrac{\mathrm dy}{\mathrm dx}=(\arctan x)^{1/2}+x\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}$

Use the chain rule to compute the derivative of $(\arctan x)^{1/2}$ . Let $z=(\arctan x)^{1/2}$ and take $u=\arctan x$ , so that by the chain rule

$\dfrac{\mathrm dz}{\mathrm dx}=\dfrac{\mathrm dz}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx}$

$\dfrac{\mathrm dz}{\mathrm du}=\dfrac{\mathrm du^{1/2}}{\mathrm du}=\dfrac12u^{-1/2}$

$\dfrac{\mathrm du}{\mathrm dx}=\dfrac{\mathrm d\arctan x}{\mathrm dx}=\dfrac1{1+x^2}$

$\implies\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}=\dfrac1{2(\arctan x)^{1/2}(1+x^2)}$

So we have

$\dfrac{\mathrm dy}{\mathrm dx}=(\arctan x)^{1/2}+\dfrac x{2(\arctan x)^{1/2}(1+x^2)}$

You can rewrite this a bit by factoring $(\arctan x)^{-1/2}$ , just to make it look neater:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac1{2(\arctan x)^{1/2}}\left(2\arctan x+\dfrac x{1+x^2}\right)$

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3 years ago

Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping.

sveticcg [70]

Answer:

Step-by-step explanation:

6 0

3 years ago

Name the Marked angle in 2 different ways.

marissa [1.9K]

Answer:

<NLO and <OLN

Step-by-step explanation:

These two angle names are the same. the letters are simply reversed. it's like saying 1+2=3 and 2+1=3. the same. only reversed but still fluent in simplicity.

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3 years ago

Find the value of x. Round to the nearest tenth. 17° 47 Х X =[?]

elena-14-01-66 [18.8K]

Answer:

13.7 units

Step-by-step explanation:

Hi there!

The dotted lines and the hypotenuse of the green triangle create a new right triangle, with one of its acute angles measuring 17 degrees and its hypotenuse measuring 47 units.

Given this information and that we must solve for the side opposite the given angle, we can use the sine ratio:

$sin\theta=\frac{opposite}{hypotenuse}$