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Brrunno [24]
3 years ago
5

I NEED HELP PLEASE, THANKS! :)

Mathematics
1 answer:
pav-90 [236]3 years ago
5 0

Hey there! :)

Answer:

({\frac{-9\sqrt{3} }{2}, 9/2)  }

Step-by-step explanation:

In rectangular coordinates, the form is:

(r·cosθ, r·sinθ)

In this instance:

Polar coordinates: (9, 150°). Use the coordinates above to solve for the rectangular coordinates.

(r · cos 150°, r· sin 150°)

(9 · cos 150°, 9· sin 150°)

cos 150° = -√3/2

sin 150° = 1/2

Plug these values into the equation:

(9 · (-√3/2), 9 · 1/2)

Multiply and simplify:

(-9√3/2, 9/2)

Therefore, the coordinates in rectangular form are:

({\frac{-9\sqrt{3} }{2}, 9/2)  }

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Answer:

W = 16

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Step-by-step explanation:

Represent trees with T and wreaths with W

Given

T = 3 + 4 * W

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Solving (a): Cost of W

Substitute 3 + 4 * W for T in the second equation

2*W + 3 + 4 * W = 99

2W + 3 + 4 W = 99

Collect Like Terms

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Divide through by 6

W =\frac{96}{6}

W = 16

Hence, each wreath costs $16

Solving (b): Cost of T

T = 3 + 4 * W

Substitute 16 for W

T = 3 + 4 * 16

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T = 67

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