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alekssr [168]
3 years ago
10

True or False: The value of r represents the reference angle when plotting a point in polar coordinates.

Mathematics
2 answers:
Nonamiya [84]3 years ago
8 0

Answer:

False

Step-by-step explanation:

In cartesian coordinates, we represents a point as (x,y).

Whereas, in polar coordinates, we represent a point as (r,\theta)

Here,

r=\sqrt{x^2+y^2}\\\\\theta=\tan^{-1}(\frac{y}{x})

The term r is the radial distance from origin and the angle Ф is the polar angle.

Therefore, the term r doesn't represent the reference angle when plotting a point in polar coordinates.

Hence, the given statement is false.

LenKa [72]3 years ago
4 0
The answer to the statement above would be false. The value of r does not represent the reference angle when plotting a point in polar coordinates. Instead, it represents the polar distance instead of the angle. The reference angle is represented by <em>t.</em>
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Which formula shows a joint variation?
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The answer is the first option: I, II and III.

The explanation is shown below:

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2. Keeping the information above, you have:

I) V=lwh (V varies jointly with l, w and h.

II) V=\frac{1}{3}r^{2}h\pi (If \frac{\pi}{3} is the constant of proportionality, V varies jointly with r^{2} and h).

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The volume of the shelter is 1108.25 cu. ft.

<h3>What is a Cuboid?</h3>

A cuboid is a three-dimensional figure with 6 faces, all the faces are rectangular in shape.

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The volume of a cuboid whose length is l,

The width is w, and

Height is h.

V = length * Width * Height

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The length of the shed is 16.25 ft.

The width of the shed is 11 ft.

The height of the shed is 6 1/5 ft

The height of the shed is 31/5 = 6.2ft.

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V = 16.25 * 11 * 6.2

V = 1108.25 cu.ft

Therefore, the shed has a volume of 1108.25 cu.ft.

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1 year ago
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The work of a student to find the dimensions of a rectangle of area 8 + 16x and width 4 is shown below:
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Answer:

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Kelko will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $57 and cost an add
Delicious77 [7]

Questions (contd)

(a) For what amount of driving do the two plans cost the same?

(b) What is the cost when the two plans cost the same?

Answer:

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Given

Plan 1:

Initial\ Fee = \$57

Additional = \$0.08 per mile

Plan 2:

Initial\ Fee = \$50

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So:

Plan 1:

y = 57 + 0.08 * x

Plan 2:

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To solve (a), we equate both plans together; i.e.

y = y

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Collect Like Terms

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x = -2/-0.02

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