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STatiana [176]
3 years ago
7

Talia has a daily budget of $94 for a car rental. Write and solve an inequality to find the greatest distance Talia can drive ea

ch day while staying in her budget

Mathematics
2 answers:
Ierofanga [76]3 years ago
7 0

Answer:

x ≤ 320

Step-by-step explanation:

MariettaO [177]3 years ago
4 0

Answer:

Step-by-step explanation:

Distance traveled by Talia = x

Cost for travelling 'x' miles = x * 0.20 = 0.2x

Daily budget = $94

Inequality,

30 + 0.2x ≤ 94

Solution:

0.2x ≤ 94 - 30      

0.2x ≤ 64        {Divide both sides by 0.2

   x ≤ 64/0.2

 x ≤ 320

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andreev551 [17]

r

sin

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=

−

3

Explanation:

Imagine we have a point  

P

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x

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and Polar coordinates  

(

r

,

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)

.

The following diagram will help us visualise the situation better:

https://keisan.casio.com/exec/system/1223526375

https://keisan.casio.com/exec/system/1223526375

We can see that a right triangle is formed with sides  

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,  

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, as well as an angle  

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.

We have to find the relation between the Cartesian and Polar coordinates, respectively.

By Pythagora's theorem, we get the result

r

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=

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+

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The only properties we can say about  

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are its trigonometric functions:

sin

θ

=

y

/

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⇒

y

=

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cos

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/

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⇒

x

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So we have the following relations:

⎧

⎪

⎨

⎪

⎩

r

2

=

x

2

+

y

2

y

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x

=

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cos

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Now, we can see that saying  

y

=

−

3

in the Rectangular system is equivalent to say

r

sin

θ

=

−

3

Answer link

Jim G.

May 19, 2018

r

=

−

3

sin

θ

Explanation:

to convert from  

cartesian to polar

∙

x

x

=

r

cos

θ

and  

y

=

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sin

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⇒

r

sin

θ

=

−

3

⇒

r

=

−

3

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4 0
3 years ago
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Answer:

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3 years ago
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