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lutik1710 [3]
2 years ago
12

The measure of the exterior angle is ________

Mathematics
2 answers:
masha68 [24]2 years ago
7 0
I’ll try please wait
Masja [62]2 years ago
6 0
Is parallel because it’s parallel to the ground fatty
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The polar coordinates of a point are 3π 4 and 7.00 m. What are its Cartesian coordinates (in m)? (x, y) = 6.06,−3.5 m
Keith_Richards [23]

Answer:

a) \left(x,y\right)=\left(4.95,-4.95\right)

b) r\angle\theta = 7\angle0.5236\,\text{radians}

Step-by-step explanation:

Polar coordinates are represented as: r\angle\theta, where 'r' is the length (or magnitude) of the line, and '\theta' is the angle measured from the positive x-axis.

in our case:

7\angle\dfrac{3\pi}{4}

to covert the polar to cartesian:

x = r\cos{\theta}

y = r\sin{\theta}

we can plug in our values:

x = 7\cos{\dfrac{3\pi}{4}} = -7\dfrac{\sqrt{2}}{2}

y = 7\sin{\dfrac{3\pi}{4}} = 7\dfrac{\sqrt{2}}{2}

the Cartesian coordinates are:

\left(x,y\right)=\left(-7\dfrac{\sqrt{2}}{2},7\dfrac{\sqrt{2}}{2}\right)

\left(x,y\right)=\left(4.95,-4.95\right)

(b) to convert (x,y) = (6.06,-3.5)

we'll use the pythagoras theorem to find 'r'

r^2 = x^2+y^2

r^2 = (6.06)^2+(-3.5)^2

r = \sqrt{48.97} \approx 7

the angle can be found by:

\tan{\theta} = \dfrac{y}{x}

\tan{\theta} = \dfrac{3.5}{6.06}

\theta = \arctan{left(\dfrac{3.5}{6.06}\right)}

\theta = 0.5236 \text{radians}

to convert radians to degrees:

\theta = 0.5236 \times \dfrac{180}{\pi} \approx 30^\circ

writing in polar coordinates:

r\angle\theta = 7\angle30^\circ\,\,\text{OR}\,\,7\angle0.5236\,\text{radians}

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3 years ago
What is the radius of a circle when the diameter is 10
Andrei [34K]
I believe the radius is 5 <span />
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What is the area of a circle with a radius of 42 in use 3.14 for pi
Vanyuwa [196]

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Evaluate the geometric series
Schach [20]

Your multiplying by -4 each time

-1x-4=4

4x-4=-16

-16x-4=64

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3 years ago
Please help me with this question please clarify what you're saying thank you
Nimfa-mama [501]
To find the circumference of this circle, you need to use the formula C=2(3.14)r
which means circumference=2 times pi times the radius so, you would multiply 2.8(the radius of your circle) times 2. Then you would multiply that times 3.14(pi rounded to the nearest hundredth). And there u go. U have ur answer.

C=2(2.8)(3.14)
C= 5.6(3.14)
C=17.584
C=17.58 feet
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