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kumpel [21]
3 years ago
13

He cartesian coordinates of a point are given. (a) (−9, 9) (i) find polar coordinates (r, θ) of the point, where r > 0 and 0

≤ θ < 2π.
Mathematics
1 answer:
olga_2 [115]3 years ago
5 0
Radius = 
9^2 + 9^2 = d^2
d = sqrt(162), about 12.73

theta = 
atan(9/-9)

is 45°, but in 2nd quad, so add 90

(12.727, 135°)
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Find the four arithmetic means between -21 and -36.
lara31 [8.8K]
The numbers given in the problem above are part of an arithmetic sequence with first and sixth terms equal to -21 and -36, respectively. Firstly, calculate for the common difference (d).
 
                                    d = (-36 - -21) / (6 - 1) = -3

The arithmetic mean is calculated by adding -3 to the term prior to it. 

            a2 = -21 + -3 = -24               a3 = -24 + -3 = -27
            a4 = -27 + -3 = -30               a5 = -30 + -3 = -33

Thus the four arithmetic means are -24, -27, -30, and -33.
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3 years ago
What is wrong with this dot plot?
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3 years ago
sarita use 54 ounces of apples to make an apple pie how many pounds and ounces of apples did sarita use
LUCKY_DIMON [66]
One pound is 16oz. So you take 54 and minus it by 16 until you get something less that 16. Then you take how many times you subtracted it, and that is how many pounds. Then you take the "leftover" number and they you have your answer. 
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3 years ago
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Help me on number problem 6 plz!!!!
Oksana_A [137]

2 hamburger + 1 milk =5


1 hamburger + 2 milk =5-.25

1 hamburger + 2 milk =4.75

multiply this by -2

-2hamburger + -4 milk =-9.5

add the first equation

-2 hamburger + -4 milk =-9.5

2 hamburger + 1 milk =5

---------------------------------------

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divide by -3

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Answer: milk $1.50



5 0
3 years ago
Question 5 J, please provide each step
KonstantinChe [14]

Answer:

x = \frac{12}{5}

Step-by-step explanation:

Multiply all terms in the equation by the lowest common multiple of 3 and 5, that is 15. This will eliminate the fractions in the equation

10(1 - 2x) - 30x = - 6 + 20(2 - 3x) ← distribute and simplify both sides

10 - 20x - 30x = - 6 + 40 - 60x

10 - 50x = 34 - 60x ( add 60x to both sides )

10 + 10x = 34 ( subtract 10 from both sides )

10x = 24 ( divide both sides by 10 )

x = \frac{24}{10} = \frac{12}{5}

3 0
3 years ago
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