Given the polynomial <br><br> −<br> x3+6x+1−7x2−3x4-x3+6x+1-7x2-3x4

Flauer [41]

Check the picture below.

so, if we add all the arcs provided, we have a total of 153° + 60° + 53°, which gives us 270°.

keeping in mind that a circle has a total of 360°, the shaded region has to be a sum of 360° - 270°, or 90°.

now, notice the tickmarks on those angles in the graph above, meaning those two angles are twins, and 90°/2 is 45°, so each of those twins is 45°.

arcYW = 60° + 45°.

8 0

4 years ago

HELP PLEASE HELP HELP ANSWER

vova2212 [387]

explica e rspuetas

a8

4 0

3 years ago

There is a lightning rod on top of a building. From a location 500 feet from the base of the building, the angle of elevation to

Kitty [74]

<h2>Hello!</h2>

The answer is:

The height of the lightning rod is 27.4 feet.

To solve the problem, we need to use the given information about the two points of observation, since both are related (both finish and start at the same horizontal distance) we need to write to equations in order to establish a relationship.

So, writing the equations we have:

We know that the angle of elevation from the base of the buildings is 36°

Also, we know that from the same location, the angle of elevation to the top of the lightning rod is 38°.

Using the information we have:

To the top of the building:

$tan(\alpha )=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}$

To the top of the lightning rod:

$tan(\alpha )=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}$

Now, isolating we have:

$tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\DistanceToTheTopOfTheBuilding=tan(36\°)*BuildingBase \\\\DistanceToTheTopOfTheBuilding=tan(36\°)*500feet=363.27feet$

Also, we have that:

$tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*BuildingBase\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*500feet=390.64feet$

Therefore, if we want to calculate the height of the lightning rod, we need to do the following:

Let "x" the distance to the top of the building and "y" the distance to the top of the lightning rod, so:

$LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet$

Rounding to the nearest foot, we have:

$LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet=27.4feet$

Hence, the answer is:

The height of the lightning rod is 27.4 feet.

Have a nice day!

5 0

3 years ago

Simplify the expression,<br>cos x cotx + sinx

olya-2409 [2.1K]

Answer:

cosec x

Step-by-step explanation:

$\cos x \: \cot x + \sin x \\ \\ = \cos x \times \frac{\cos x }{ \sin x } + \sin x \\ \\ = \frac{\cos^{2} x +\sin^{2} x }{ \sin x } \\ \\ = \frac{1}{ \sin x } \\ \\ = cosec x \\ \\ \red{ \boxed{ \bold{\therefore \: \cos x \: \cot x + \sin x = cosec \: x}}}$

8 0

3 years ago

Read 2 more answers

Plz help ASAP WILL MARK BRAINLIST

dybincka [34]

Answer: B. The domain is {x|x<0 or x>0} and the range is {y|y>0}

Step-by-step explanation:

f(x)=x^-2

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#1 Any negative (-) exponents means the answer will be 1/ the term

- for example, 3^-2=1/3^2=1/9

NOTE: NEGATIVE EXPONENTS DOES NOT MEAN IT IS A NEGATIVE NUMBER, IT IS STILL A POSITIVE NUMBER IF THE BASE IS POSITIVE.

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The domain, which will be the value of x.

x can be any real number, except 0, because 0 can't go to negative exponents or else it will be undefined.

{x|x<0 or x>0}

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The range, which will be the value of y.

Since the x value is being squared, it is always positive

{y|y>0}

7 0

3 years ago

Read 2 more answers

Given the polynomial − x3+6x+1−7x2−3x4-x3+6x+1-7x2-3x4