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alexira [117]
3 years ago
15

PLEASE RESPOND! !!

Mathematics
1 answer:
cestrela7 [59]3 years ago
6 0

Answer:

36/132

Step-by-step explanation:

36/132, .27, 27%...

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Convert the polar coordinates (-3, -60°) to Cartesian coordinates.
notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x

#Using the illustration above, we can express our polar coordinates as:

-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}

#Solve simultaneously to solve for x and y:

(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\  y \ in\  i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6

Hence, the Cartesian coordinates are (1.5,-2.6)

6 0
2 years ago
What is the
olya-2409 [2.1K]

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Step-by-step explanation:

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3 years ago
Trying to pass 7th grade
Kazeer [188]

The answer to this is B

7 0
3 years ago
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A construction crew has just finished building a road. the road is 8 kilometers long. if the crew worked for 335 days, how many
elena-s [515]
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3 years ago
Whats the answer to 12.9 – 3.1) × 6.2 – 2 + 43
suter [353]

Answer:

101.76

Step-by-step explanation:

(12.9−3.1)(6.2)−2+43

=(9.8)(6.2)−2+43

=60.76−2+43

=58.76+43

=101.76

3 0
2 years ago
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