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nikdorinn [45]
3 years ago
9

For each question, the rectangular coordinates of a point are given. Find the polar coordinates of each point. 4. (4, 0) 5. (3,

4) 6. (2, -2)
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
3 0
(4,0) has a magnitude of 4 and an angle of 0.  Thus, it corresponds to 4<0.

(3,4) has a magnitude of sqrt(3^2+4^2), or 5, and a central angle of 

arctan (4/3).


In the case of (2, -2), you can see right away that the magnitude is 2sqrt(2) (Prove it).  What is the central angle?  (2, -2) is in Quadrant 4, so the central angle will be between 270 and 360 degrees:  arctan 2 / (-2).

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Answer: 12 hours

Step-by-step explanation:

Let x = time it takes to fill the pool if the inlet pipe and drain pipe are both open

1/6 = portion of pool filled per hour by the inlet pipe

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1/x = portion of pool filled per hour if the inlet pipe and drain are both open

Then, 1/6 - 1/12 = 1/x

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x = 12 hours

5 0
3 years ago
What is 4:6 as a percentage ​
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66.6667%

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3 years ago
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Tony has 6 dollars in change in his car. Every time he drives to visit his grandma, he pays $1.25 in tolls. Which graph represen
olga_2 [115]
After paying 4 tolls, Tony will have 4×$1.25 = $5.00 less change in his car. At that point, he will have $1 in change. The appropriate choice is
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5 0
4 years ago
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1) h(x)=3x3<br>g(x)= - 4x+1<br>Find (h+g)(10)​
Aleksandr-060686 [28]

Answer:

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Step-by-step explanation:

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Adding both equations will make it:

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Putting x = 10 will make it:

(h+g)(10) = 3(10)^3-4(10)+1

= 3(1000)-40+1

= 3000-39

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4 years ago
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abruzzese [7]

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idk

Step-by-step explanation:

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