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3 years ago

Find the perimeter of the shaded figure. Please help,thanks!

Mathematics

2 answers:

Mice21 [21]3 years ago

6 0

Answer:

Hey there!

The perimeter can be expressed as 10+7+2+2+6+2+2+7, or 38.

Hope this helps :)

ahrayia [7]3 years ago

3 0

Answer:

I believe its 40

Step-by-step explanation:

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I need help with finding the answer to a) and b). Thank you!

shtirl [24]

Answer:

$\displaystyle \sin\Big(\frac{x}{2}\Big) = \frac{7\sqrt{58} }{ 58 }$

$\displaystyle \cos\Big(\frac{x}{2}\Big)=-\frac{3 \sqrt{58}}{58}$

$\displaystyle \tan\Big(\frac{x}{2}\Big)=-\frac{7}{3}$

Step-by-step explanation:

We are given that:

$\displaystyle \sin(x)=-\frac{21}{29}$

Where x is in QIII.

First, recall that sine is the ratio of the opposite side to the hypotenuse. Therefore, the adjacent side is:

$a=\sqrt{29^2-21^2}=20$

So, with respect to x, the opposite side is 21, the adjacent side is 20, and the hypotenuse is 29.

Since x is in QIII, sine is negative, cosine is negative, and tangent is also negative.

And if x is in QIII, this means that:

$180$

So:

$\displaystyle 90 < \frac{x}{2} < 135$

Thus, x/2 will be in QII, where sine is positive, cosine is negative, and tangent is negative.

Recall that:

$\displaystyle \sin\Big(\frac{x}{2}\Big)=\pm\sqrt{\frac{1 - \cos(x)}{2}}$

Since x/2 is in QII, this will be positive.

Using the above information, cos(x) is -20/29. Therefore:

$\displaystyle \sin\Big(\frac{x}{2}\Big)=\sqrt{\frac{1 + 20/29}{2}$

Simplify:

$\displaystyle \sin\Big(\frac{x}{2}\Big)=\sqrt{\frac{49/29}{2}}=\sqrt{\frac{49}{58}}=\frac{7}{\sqrt{58}}=\frac{7\sqrt{58}}{58}$

Likewise:

$\displaystyle \cos \Big( \frac{x}{2} \Big) =\pm \sqrt{ \frac{1+\cos(x)}{2} }$

Since x/2 is in QII, this will be negative.

Using the above information, cos(x) is -20/29. Therefore:

$\displaystyle \cos \Big( \frac{x}{2} \Big) =-\sqrt{ \frac{1- 20/29}{2} }$

Simplify:

$\displaystyle \cos\Big(\frac{x}{2}\Big)=-\sqrt{\frac{9/29}{2}}=-\sqrt{\frac{9}{58}}=-\frac{3}{\sqrt{58}}=-\frac{3\sqrt{58}}{58}$

Finally:

$\displaystyle \tan\Big(\frac{x}{2}\Big) = \frac{\sin(x/2)}{\cos(x/2)}$

Therefore:

$\displaystyle \tan\Big(\frac{x}{2}\Big)=\frac{7\sqrt{58}/58}{-3\sqrt{58}/58}=-\frac{7}{3}$

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3 years ago

Michael has finished 25% of an art project that has taken him a total of 4 hours so far. If he continues to work at the same rat

guapka [62]

It will take him 16 hours because 25 is 1/4 of 100% so 4 times 4 is 16. So 16 is your answer :)

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3 years ago

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Nnh-jzpz-tyg. join today link fast guys please

Sedaia [141]

Answer:

naaa im good bby

Step-by-step explanation:

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3 years ago

Construct line m such that the y-coordinate of every point is 1 1/2 and construct line n such that the z-coordinate of every poi

Ray Of Light [21]

Answer:

Check below

Step-by-step explanation:

Hi there!

1)Assuming that we're dealing with a Three Dimensional plane, with their three axes xyz.

To construct a line <em>m</em> in which every y-coordinate is y= $1\tfrac{1}{2}=\frac{3}{2}=1.5$ , to have the y -coordinate will be constant on $1\tfrac{1}{2}$ .

Similarly, the same for the line n with its z-coordinate fixed on $5\tfrac{1}{2}$

2) Since we're on a 3D plane with not two but three axes x, y, and z, the line in 2D (just x and y view) will be seen as planes. Check the second picture, please.

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3 years ago

2 liters of orange juice and 1.5 liters of applejuice

swat32

I assume you want the total of liters? 2 plus 1.5 equals 3.5 liters of juice all together :)

7 0

3 years ago