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Karo-lina-s [1.5K]
3 years ago
15

Find the rectangular coordinates of the point (sqrt3,pi/6)

Mathematics
1 answer:
madreJ [45]3 years ago
5 0

Answer:

(x, y) = \left(\frac{3}{2}, \frac{\sqrt{3}}{2}\right)

Step-by-step explanation:

The rectangular coordinates of the point are:

(x,y) = \left(\sqrt{3}\cdot \cos\frac{\pi}{6}, \sqrt{3}\cdot \sin\frac{\pi}{6}\right)

(x, y) = \left(\frac{3}{2}, \frac{\sqrt{3}}{2}\right)

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caitlyn has $210 in her savings account and she has to pay her parents $5 each month.Santos has $90 dollars and he saves $5 doll
nevsk [136]

Answer:

After about 12 months both Caitlyn and Santos will have the same balance of 150 dollars in their bank account.

Step-by-step explanation:

Caitlyn's saving:  -5x+210

Santos' saving: 5x+90

To know when the total amount in their bank account is the same you would need to make these linear equations equal to one another.

-5x+210 = 5x+90

(Add 5x on both sides)

210=10x+90

(Subtract 90 from both sides)

120=10x

(Simplify)

x=12

After about 12 months their total savings should be the same. To check what their balance will be plug the x value of 12 into both of these equations. This should give 150 as your answer for both equations.

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3 years ago
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iren2701 [21]

Answer:

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Step-by-step explanation:

subtracting like terms

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3 years ago
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liraira [26]

The sum of 2 complementary angles equals 90 degrees.


If angle 1 and 2 are complementary and angle 1 and 3 are also complementary than angle 2 would have to be the same as angle 3.


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7 0
3 years ago
How do change 30/8 in to a mixed number
sashaice [31]
Make the numerator be the sum of a multiple of the denominator and a remainder...

30/8 is equal to:

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Find the y value for the point that divides the line segment CD into a ratio of 4:1.
7nadin3 [17]

Answer:

We also drew a graph with 2 examples.

Step-by-step explanation:

If we have the line segment  CD, we can divide it by 4: 1 as follows:

If point C has the coordinates (x1, z1) and point D has the coordinates (x2, z2), we calculate coordinate the points Y as follows:

y1 = (x2-x1) · 4/5

y2 = (z2-z1) · 4/5

In this way we have obtained the point Y with the coordinates (y1, y2), and the point Y divides the line segment  CD by 4:1.

We also drew a graph with 2 examples.

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