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2 years ago

Determine two pairs of polar coordinates for the point (5, 5) with 0° ≤ θ < 360°.

Mathematics

1 answer:

PilotLPTM [1.2K]2 years ago

3 0

Answer:

the answer is B (5 square root 2, 315°), (-5 square root 2, 135°)

Step-by-step explanation:

1) Let A be the point (x, y) = (5, - 5)

=> x = 5 and y = - 5

r = √(x² + y²) = √(25 + 25) = √50 = ± 5√2

tan Θ = - 5/5 = - 1

=> Θ = (i) 315º or - 45º ; (ii) 135º or - 225

Hence, the Polar Coordinates of A are (i) (5√2, 315º) (ii) (- 5√2, 135º)

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MaRussiya [10]

Answer:

120

Step-by-step explanation:

the answer yOU are looking for would be 120

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2 years ago

X over 2 +2= 15 two step equations

Fed [463]

Answer:

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Step-by-step explanation:

$\sf \cfrac{x}{6} +2=16$

Multiply both sides of the equation by 6:

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1 year ago

Read 2 more answers

What is the length of arc S shown below? The angle in the figure is a central angle in radians.

Taya2010 [7]

Answer:

Step-by-step explanation:

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3 years ago

A jar Contains 18 strawberry- 24cheery- and 19 lime-flavored candy the rest of the candies are chocolate there are 82 candies an

tresset_1 [31]

Answer:

61 + n = 82

Step-by-step explanation:

So the total number of candy is 82. This is the sum of each type of candy, i.e. 18 + 24 + 19 + n. So we have

18 + 24 + 19 + n = 82

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2 years ago

Find the consecutive positive odd integers whose product is 99

dezoksy [38]

Answer:

9 and 11

Step-by-step explanation:

So let's say that the first integer is x.

That means that the second integer is x+2, since it us the next odd number.

This problem can be easily solved with our mind the answer is 9 and 11, but I'll show you the steps to slove this.

We make an equation using these two numbers:

$(x)*(x+2)=99\\$

Now all we gotta do is solve for x:

$x^2 +2x = 99\\x^2+2x-99=0$

Now we use either splitting the middle term or quadratic formula:

$x^2+11x-9x+99=0\\x(x+11)-9(x+11)=0\\(x+11)(x-9)=0$

Now we split each terma and solve for x:

$(x-9)=0\\x=9\\(x+11)=0\\x=-11$

Now the question states positive so we can rule out x = -11.

Now we have the first integer x = 9,

the second integer is x+2 = 9+2 =11

So the two consecutive positive odd integers are 9 and 11

4 0

3 years ago