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Leona [35]
3 years ago
14

Alice is skiing along a circular ski trail that has a radius of 2.5 km. She starts at the 3-o'clock position and travels in the

CCW direction. Alice stops sking when she is 2.251 km to the right and 1.087 km above the center of the ski trail. Imagine an angle with its vertex at the center of the circular ski trail that subtends Alice's path.
a. How many radians has the angle swept out since Alice started skiing?


b. How many km has Alice skied since she started skiing?

Mathematics
2 answers:
MaRussiya [10]3 years ago
8 0

Find the given attachment

LekaFEV [45]3 years ago
7 0

Answer:

a) \theta = 0.143\,rad, b) \Delta s = 0.358\,km

Step-by-step explanation:

a) The change in angular position is:

\theta = \tan^{-1} \frac{1.087\,km}{2.251\,km}

\theta = 0.143\,rad

b) The distance travelled by Alice is:

\Delta s = \theta \cdot r

\Delta s = (0.143\,rad)\cdot (2.5\,km)

\Delta s = 0.358\,km

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1 year ago
Find the intercepts.<br> . (-1,5) and (-3,-5)
Firdavs [7]

Answer:

x-intercept: (-2, 0), y-intercept: (0, 10)

Step-by-step explanation:

First, we need to find the equation of this line. The formula to find the slope is:(y1-y2)/(x1-x2). Substituting the real numbers for this formula, (5-(-5))=10, (-1-(-3)=2. 10/2=5.

This means that the slope of this line is 5.

To find the complete equation for this line, we just need to plug in the x-value and add whatever needs to be added to attain the y-value. (You can plug in any x-value/y-value available.)

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The complete equation for this line is y=5x+10.

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5 0
3 years ago
Help i can't figure this out. Can someone help explain how to do this
postnew [5]
Those two angles have to add up to 180° as that is a straight angle, so 5x - 10 + 6x + 10 = 180. combine like terms to get 11x - 10 + 10 = 180. the 10 cancels, so 11x = 180. divide both sides by 11 to get x = approximately 16.36.

FYI - I CANNOT TELL IF THAT ACTUALLY SAYS 5
6 0
3 years ago
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