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Triss [41]
3 years ago
7

Please help!

Mathematics
1 answer:
Nitella [24]3 years ago
4 0
x = r cos \theta \\  \\ y = r sin \theta

x = (-2) cos (\pi/3) = (-2)(\frac{1}{2}) =-1 \\  \\ y=(-2) sin (\pi/3) = (-2)(\frac{\sqrt{3}}{2})=-\sqrt{3}

The rectangular coordinates are:
(-1,-\sqrt{3})
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Quadratic Equation
Natasha_Volkova [10]

Step-by-step explanation:

The sum of ages of two friends is 13 years.

The product of their ages is 42.

<em>Let the age of 1st friend and 2nd friend is x, y respectively.</em>

<em>1 st condition= The sum of ages of two friends is 13 y</em><em>r</em><em>s. </em>

i.e x+y = 13........ (I)

<em>2nd condition= The product of their ages is 42.</em>

i.e X*y = 42........(ii)

From equation (I)

X+y = 13

or, X = 13-y........ (iii)

<em>Putting the equation (iii) in equation (ii).</em>

X*y= 42

(13-y) * y = 42

13y - y^2 = 42

{y}^{2}  - 13y + 42 = 0

{y}^{2}   - (7 + 6)y + 42= 0

{y}^{2}  - 7y - 6y + 42 = 0

y(y - 7) - 6(y - 7) = 0

(y - 6) (y - 7) = 0

Either; y-6 = 0

y = 6

Or;

y-7=0

y = 7

<em>Keeping the value of y as "7" in equation (ii)</em>

x*y = 42

7x = 42

X = 42/7

Therefore, the value of X is 6.

Therefore, either 1st friend is 6 years and 2nd is 7 years.

<em><u>H</u></em><em><u>o</u></em><em><u>p</u></em><em><u>e</u></em><em><u> </u></em><em><u>it </u></em><em><u>helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

7 0
3 years ago
What is the angle of 1,2,3, and 4?​
Kisachek [45]

Answer:

1=72

2=36

3=36

4=54

4 0
3 years ago
Michael is 3 times as old as Brandon. 18 years ago, Michael was 9 times as old as Brandon.
Zigmanuir [339]
I hope this helps you


Brandon x


Michael 3x


18 years ago


Brandon x-18


Michael 3x-18


9 (x-18)=3x-18


9x-9.18=3x-18

9x-3x=9.18-18

6x=8.18

x=8.3

x= 24
5 0
3 years ago
Daphne rolls two 6-sided number cubes. What is the probability that she rolls
Alex Ar [27]
The answer is A. 2/36 or 1/18
7 0
3 years ago
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Alesha is inviting 10 friends to a party, and each friend will get 5 cookies. How many cookies does Alesha need to get
Montano1993 [528]

Answer:

Step-by-step explanation:

10x5=50

5 0
3 years ago
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