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Leto [7]
3 years ago
14

Find the rectangular coordinates of the point with the polar coordinates ordered pair negative 7 comma 5 pi divided by 3.

Mathematics
1 answer:
olchik [2.2K]3 years ago
6 0
\bf \begin{array}{clclll}
(-7&,&\frac{5\pi }{3})\\
\uparrow &&\uparrow \\
r&&\theta
\end{array}\qquad 
\begin{array}{clclll}
(x&,&y)\\
\downarrow &&\downarrow \\
r\cdot cos(\theta)&&r\cdot sin(\theta)
\end{array}

so.. to get the x,y coordinates, or rectangular ones, get the cosine and sine of that angle, and multiply it times the "r"adius
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sveta [45]
For this case we have the following equation:
 d =  \sqrt{\frac{3h}{2}}
 Where,
 d: the distance they can see in thousands
 h: their eye-level height in feet
 For Kaylib:
 d = \sqrt{\frac{3(48)}{2}}
 d=\sqrt{3(24)}
 d=\sqrt{72}
 d=6\sqrt{2}
 For Addison:
 d = \sqrt{\frac{3(85\frac{1}{3})}{2}}
 d = \sqrt{\frac{256}{2}}
 d=\sqrt{128}
 d=8\sqrt{2}
 Subtracting both distances we have:
 8\sqrt{2} - 6\sqrt{2} = 2\sqrt{2}
 Answer:
 
2\sqrt{2}
 B. 2√2 mi
6 0
3 years ago
Read 2 more answers
Which of the following functions have only one point that is not in the domain? Select all that apply. (There are 2 answers)
densk [106]

Answer:

  B.  f(x) = 3/(x^2 +2x +1)

  E.  f(x) = 5/(3+x)

Step-by-step explanation:

The above functions have denominators that are zero at one point. For B, that point is x=-1; for E, that point is x=-3. When the denominator is zero, the function is undefined, so the corresponding x-value must be excluded from the domain.

__

As written, choice D also qualifies. This is because the function written in the answer list here is ...

f(x)=\dfrac{1}{x^2}+5x+4

It will be undefined for x=0.

_____

<em>Comment on writing rational functions</em>

When the division symbol (/ or ÷) is used with a denominator that is a product or sum, that product or sum must be enclosed in parentheses. When the expression is typeset, the division bar acts as a grouping symbol. When the expression is written in text, a grouping symbol, such as parentheses, must be added.

3 0
3 years ago
4 12 36 108 n ? whats after n
lilavasa [31]

Answer:

324

Step-by-step explanation:

4x3=12

12x3=36

36x3=108

108x=324

5 0
2 years ago
If &lt;a and &lt;b are vertical and &lt;a =115°,detemine &lt;b what is it??!
Oliga [24]

The vertical angles have equal measures.

Therefore, if ∠ a and ∠b are vertical angles, then m∠a = m∠b.

Answer: m∠b = 115°

3 0
3 years ago
How do you graph lines using intercepts<br> Ex. 3y= 1/2x-2 (How would you graph that?)
scZoUnD [109]
Read this article https://weteachscience.org/mentoring/resources/lesson-plans/algebra-1-%E2%80%93-how-to-graph-a-linea...

6 0
3 years ago
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