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Serhud [2]
3 years ago
13

Match the x-coordinates with their corresponding pairs of y-coordinates on the unit circle.

Mathematics
1 answer:
jeka57 [31]3 years ago
5 0
<span>y=+- square root 5 over 3

y^2 + x^2 = 1 => x^2 = 1 - y^2 = 1 - 5/9 = 4/9 => x = +/- 2/3

Answer: x = +/- 2/3

y=+- square root 7 over 3

y^2 + x^2 = 1 => x^2 = 1 - y^2  =  1 - 7/9 = 2/9 => x = +/- (√2) / 3

Answer: x = +/-(√2)/3

y=+- 3 over 3

x^2 = 1 - y^2 = 1 - 3/9 = 1 - 1/3 = 2/3 => x = +/-(√2/3)

Answer: x = +/-√(2/3)

y=+- 2 square root 2 over 2

= y = +/- 2(√2) /2 = √2  ...... these y-coordinates are out of the unit circle, then there is not a corresponding x - coordinate for them.

</span>
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51 is 33 1/3 of what number?
nevsk [136]

Answer:

\boxed{\frac{153}{100}\:\:Or\:\:1.53}

Step-by-step explanation:

Let the number be n.


Then,

33\frac{1}{3} \tmes n=51

This implies that;

\frac{100}{3} n=51


We multiply both sides by \frac{3}{100} to obtain;


\frac{3}{100} \times \frac{100}{3}n=\frac{3}{100} \times 51


\Rightarrow n=\frac{3}{100} \times 51


\Rightarrow n=\frac{153}{100}

Or

\Rightarrow n=1.53


5 0
3 years ago
Read 2 more answers
Can someone help with #3 and show your work !!
ioda
If s represents the number of songs Kim downloads, her expenses for a month must satisfy the inequality
  5.00 + 0.58·s ≤ 13.00

To solve this, subtract 5.00 to get the s-term by itself, then divide by the coefficient of s.
  0.58·s ≤ 8.00
  s ≤ 8.00/0.58 ≈ 13.79
The number of songs must be an integer, so we conclude Kim can download 13 songs, but not 14 songs.

Kim can download 13 songs without exceeding her budget.
8 0
3 years ago
Read 2 more answers
Simplify the expression 8x + 4(x -1)
s344n2d4d5 [400]
8x+4x-4

12x-4 is the answer
6 0
3 years ago
ASAP! Simplify -5 - square root -44
Tju [1.3M]

Answer:

\boldmath-5-2i\sqrt{\boldmath11}

Step-by-step explanation:

The not simplified form is -5-\sqrt{-44}

you know that \sqrt{a\times b} = \sqrt{a} \times\sqrt{b} is true a and b are both positive or one of it is negative (not both of them).

You can write -44 as -1 × 4 × 11 inside square root.

So, \sqrt{-44} = \sqrt{-1\times4\times11}=\sqrt{-1}\times\sqrt{4}\times\sqrt{11}=i\times2\times\sqrt{11}         (\sqrt{4}=2)

\therefore -5-\sqrt{-44} = -5-2i\sqrt{11}

(NOTE : You must know that \boldmath\sqrt{\boldmath-1} is written as \boldsymbol i )

5 0
3 years ago
Find the value of x in the given
qwelly [4]

Answer:

x=8

Step-by-step explanation:

3 0
3 years ago
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