Answer:
e,s+t
Step-by-step explanation:
Answer:
The values of
so that
have vertical asymptotes are
,
,
,
,
.
Step-by-step explanation:
The function cosecant is the reciprocal of the function sine and vertical asymptotes are located at values of
so that function cosecant becomes undefined, that is, when function sine is zero, whose periodicity is
. Then, the vertical asymptotes associated with function cosecant are located in the values of
of the form:
, 
In other words, the values of
so that
have vertical asymptotes are
,
,
,
,
.
Answer:
0.5 hour
Step-by-step explanation:
Given
Speed of Dina = 10 km/h
Distance = 20 km
So the time Dina taken to complete the track is:

The time taken by Dina is 2 hours. As masha started with dina but she was 4 km of the path left to cycle,
her distance covered in 2 hours was:

So we know the time and distance:
Now,

We have to calculate the time that will be needed by MAsha to complete the track:
As we know the speed and remaining distance

Masha needs 0.5 hour to complete the track ..
Answer:
11.2 miles
Step-by-step explanation:
We can create a triangle from the information given.
<u>We can call the starting point (0,0) in the coordinate system.</u>
- <u>10 mi east</u> - 10 miles to the right. then,
- <u>5 mi north</u> - 5 miles above
<em><u>See the attached picture. The direct distance is labeled as x.</u></em>
Now we need to find x using pythagorean theorem.
Pythagorean Theorem = leg²+leg²=hypotenuse²
Solving for x:

<em>Rounding to nearest tenth, we have </em><em>11.2 miles</em>
The 2 lengths + 2 widths of the rectangle will equal 160 meters
So, for example, length = 50 m and width = 30m would fit the bill
2*50 + 2*30 = 160 m