1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
A 1×6 square unit rectangular grid has to be covered with six 1×1 square unit tiles. Three of the tiles are yellow, two are whit
Scilla [17]

Answer:

60

Step-by-step explanation:

3 0
2 years ago
Which of the following expressions is correctly written in scientific notation
katrin [286]

Answer:

it is the 3 one

Step-by-step explanation:

7 0
2 years ago
The sum of two numbers is 25. One of the numbers is fifteen less than the other. Find the numbers.
bija089 [108]

20+5 because 5 is 15 less than 25.

4 0
3 years ago
Read 2 more answers
The function g(t)=−16t2+vt+h represents the height of an object, g, in feet, above the ground in relation to the time, t, in sec
kow [346]

Answer:

A) g(t) = - 16*t² + 80*t

B) domain is  ( 0 ≤ t ≤ 5 )

Step-by-step explanation:

A) for the model rocket

h = 0    and  v = 80 feet/sec

Then the equation     g(t)  = -16*t² + v*t + h

became

g(t) = - 16*t² + 80*t + 0         g(t) = - 16*t² + 80*t

B) The equation  g(t) = - 16*t² + 80*t  is defined for all real numbers then the domain interval for t is ( -∞ , ∞ ). Now in our case, a model rocket was launched is not possible to get negative values for g(t)  then the biggest value for t = 5 from

-16*t²  +  80*t  ≥ 0

-16*t  ≥ -80       16*t ≤ 80

t ≤ 5

And the domain is  ( 0 ≤ t ≤ 5 )

8 0
2 years ago
Write the vertex form equivalent of 3x^2-30x+73=y
Naddik [55]

Answer:

(5,-2) or y=3(x-5)^2 -2

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Yesterday, a movie theater sold 299 bags of popcorn. A large bag of popcorn costs $4. A small bag of popcorn costs $1. In all, t
    14·2 answers
  • The factory makes 565.2 pounds of candy in six days. How many pounds of candy does the factory make each day?
    6·2 answers
  • I’m confused on this one
    10·2 answers
  • I need urgent help, I can't figure out this last question.<br> PR=35, PT= 10x-1 solve for x
    14·1 answer
  • Find the factors of 42 show and explain your work and list the factor pairs in a table
    15·2 answers
  • You’re working at a theater where you are evaluating attendance at several events. From the first event to the second event, att
    8·1 answer
  • If 4(x – 3) + x = –2x + 10, what is the value of x? ​
    7·2 answers
  • Help i will mark you as brain thing or whatever ​
    15·1 answer
  • Please help me I will give branliest! Find the two missing sides and write your answer as in simplified radical form. image atta
    15·1 answer
  • Given g(x)=-x+4g(x)=−x+4, find g(5)g(5) whats the answer?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!