Given that Vanessa 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 Counter Clockwise direction.

She stops skiing when she is 1.244 km to the right and 2.169 km above the center of the ski trail.

This can be represented as (1.244, 2.169) on a circle of radius 2.5 km.

From the coordinate point (1.244, 2.169) derived, x=1.244 and y=2.169.

By the definition of tangent,

$\tan \theta =\frac{y}{x} \\\\\tan \theta =\dfrac{2.169}{1.244}\\\\ \theta=\arctan \dfrac{2.169}{1.244}\\\\\\ \theta=1.05006$

Vanessa swept out approximately 1.05 radians since she started skiing.

3 0

3 years ago

ILL MARK AS BRAINLESS PLS HELP

yanalaym [24]

Answer:

5765/574

Step-by-step explanation:

there u go lol

5 0

4 years ago

Min is about to roll a six-sided number cube. What is the experimental probability that she will roll an even number based on he

masya89 [10]

Answer:

Therefore the experimental probability that she will roll an even number is

C ) 0.5

Step-by-step explanation:

Let S be the sample space for the given experiment that to Roll six sided number Cube

∴ S ≡ { 1, 2, 3, 4, 5, 6}

∴ n(S) = 6

Let 'A' be the event of experiment that she will roll an even number

∴ A ≡ { 2, 4, 6 }

∴ n(A) = 3

To Find:

P(A) = ?

Solution:

We know that for any experiment probability is given by

$\textrm{probability of the experiment}=\dfrac{\textrm{number of favourable outcomes}}{\textrm{total number of outcomes}}$

Substituting the values we get

$P(A)=\frac{n(A)}{n(S)} =\frac{3}{6} =\frac{1}{2} =0.5$

Therefore the experimental probability that she will roll an even number is

C ) 0.5

8 0

3 years ago