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ziro4ka [17]
3 years ago
7

Help please!! 30 Pts!!

Mathematics
2 answers:
WITCHER [35]3 years ago
3 0
The answer to the first is you can convert the radians to length using a formula
Black_prince [1.1K]3 years ago
3 0

Answer:

Step-by-step explanation:

The definition of one radian is "a unit of angle, equal to an angle at the center of a circle whose arc is equal in length to the radius." So, on the unit circle, because the radius is one, one radian's arc length is also one. Basically, on the unit circle, the radian measure of an angle is equal to the arc length is makes.

Trig Functions are just the coordinates on the unit circle plotted on to a graph. Think about it this way, if you pin a point on the unit circle and spin the circle, the point will go up and down and up and down forever (if there is no friction). This is the same thing with trig functions. They repeat them selves over and over again. In an actual triangle, we can't get angles more than 180 degrees, but because the trig functions go on forever, we can virtually plug in any angle degrees we want and produce an answer. The unit circle help us understand that some angles are just other angles written in another way, like 90 degrees and 450 degrees are actually the same thing.

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alexira [117]

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4 0
3 years ago
When a particular mass-spring system is started by stretching the spring 3 cm, one complete oscillation takes 4 seconds.
11Alexandr11 [23.1K]

Answer:

A. 5.16 s.

B. 5.66 s.

Step-by-step explanation:

A.

For a simple harmonic motion,

T = 2pi (sqrt * (l/g))

Given:

L1 = 3 cm

T1 = 4 s

L2 = 5 cm

T2 = ?

4 = 2pi*sqrt(3/g)

g = 7.4

At, L2,

T2 = 2pi*sqrt(5/7.4)

= 5.16 s.

B.

M1 = M1

M2 = 2*M1

For a simple harmonic motion,

T = 2pi (sqrt * (m/k))

4 = 2pi (sqrt * (M1/k))

M1/k = 0.405

Inputting the above values,

T2 = 2pi (sqrt * (2*M1/k))

= 2pi (sqrt * (2 * 0.405))

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4 0
3 years ago
Which of the following is the graph of the inequality y< -2x + 3?
zaharov [31]

Answer:

look at the photo

Step-by-step explanation:

Since the inequality is already written in y=mx+b, you can easily graph the line. +3 is the y intercept, so one point would be (0,3). -2 resembles the slope, so diagonally to the left, you would go up 2 and across 1. Also, since the sign is "<" you would graph with a dotted line. Then to know which side to shade, I always use the coordinate (0,0). I plug in 0 for both x and y to see if (0,0) satisfies the inequality. In this case it does, so you would shade on the side where (0,0) is located.

3 0
3 years ago
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