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Kay [80]
3 years ago
5

To make 1 batch of vegetable soup, Sam needs 16 ounces of water and 8 ounces of vegetables. How does the amount of water compare

to the amount of vegetables?
Mathematics
1 answer:
BARSIC [14]3 years ago
4 0
The amount of water is double in comparison to the amount of vegetables.
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Find the rectangular coordinates of the point (squareroot3, pi/6)
svet-max [94.6K]

Answer:

The rectangular coordinates of the point are (3/2 , √3/2)

Step-by-step explanation:

* Lets study how to change from polar form to rectangular coordinates

- To convert from polar form (r , Ф) to rectangular coordinates (x , y)

 use these rules

# x = r cos Ф

# y = r sin Ф

* Now lets solve the problem

∵ The point in the rectangular coordinates is (√3 , π/6)

∴ r = √3 and Ф = π/6

- Lets find the x-coordinates

∵ x = r cos Ф

∵ r = √3

∵ Ф = π/6

∴ x = √3 cos π/6

∵ cos π/6 = √3/2

∴ x = √3 (√3/2) = 3/2

* The x-coordinate of the point is 3/2

- Lets find the y-coordinates

∵ y = r sin Ф

∵ r = √3

∵ Ф = π/6

∴ y = √3 sin π/6

∵ sin π/6 = 1/2

∴ y = √3 (1/2) = √3/2

* The y-coordinate of the point is √3/2

∴ The rectangular coordinates of the point are (3/2 , √3/2)

6 0
3 years ago
Evaluate 3/7r + 5/8s when r = 14 and s = 8
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Answer:

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7 0
2 years ago
If Luke can now mow 10 yards in 5 hours, how many lawns can he mow in 8 hours?
jeka94

Answer:

Step-by-step explanation:

10 yards in 5 hours is 2 yards an hour

8*2=16 yards in 8 hours

6 0
2 years ago
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40 tons is 80,000 pounds
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