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nikdorinn [45]
2 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]2 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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An 8-oz bottle of ketchup costs $1.39.
inna [77]
First, you need to find how much an ounce costs. To do that, you have to divide 1.39 by 8. Then you get about 0.17. Now, you multiply 0.17 by 14, and get the answer of 2.38. Therefore, a 14-oz bottle of ketchup costs $2.38.
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On monday caroline spent 2/3hour riding her bike and 1 3/4 doing homework how many more hours did caroline spend doing homework
Andrej [43]
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Square root 5 is closest to what real number?
gladu [14]
The square root of 5 is 2.23 so it would be closer to 2
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The admission fee for a charity event is $7 for children and $10 for adults. The event was attended by 700 people, and the total
maria [59]
If all were children, revenue would be 700*$7 = $4900. Revenue is actually $6400 -4900 = $1500 more than that. Each adult admission that replaces a child's admission adds $10 -7 = $3 to the revenue, so there must have been
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There were 200 children at the show.
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3 years ago
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What are the y-intercept of the function f(x)=-2x^2-3x+20?
Serhud [2]

Answer:

\sf A) \ (-4, \ 0) \ and \ \  [\dfrac{5}{2} , \ 0]

Explanation:

Given function: f(x) = -2x² - 3x + 20

To find the x-intercepts of a function, f(x) = 0

=================

-2x² - 3x + 20 = f(x)

-2x² - 3x + 20 = 0

-2x² - 8x + 5x + 20 = 0

-2x(x + 4) + 5(x + 4) = 0

(-2x + 5) (x + 4) = 0

-2x + 5 = 0, x + 4 = 0

-2x = -5, x = -4

x = -5/-2,x = -4

x = 5/2, x= -4

Coordinates: (-4, 0), (5/2, 0)

4 0
2 years ago
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