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
weqwewe [10]
2 years ago
14

alex is running in a clockwise direction around a circular track with radius 60 yards. he runs for 20 minutes at a speed of 4 ya

rds per second. find the shortest distance between their starting point and their ending point measured along the track
Mathematics
1 answer:
Ganezh [65]2 years ago
3 0

Answer:

  100.9 yards

Step-by-step explanation:

One circuit of the track is a distance of ...

  C = 2πr = 2π(60 yd) = 120π yd.

At Alex's running rate, the distance covered in 20 minutes is ...

  (4 yd/s)(20 min)(60 s/min) = 4800 yd

The number of circuits will be ...

  (4800 yd)/(120π yd/circuit) = 40/π circuits ≈ 12.7324 circuits

The last of Alex's laps is more than half-completed, so the shortest distance to his starting point is 13 -12.7324 = 0.2676 circuits,

That distance is (0.2676 circuits)×(120π yd/circuit) ≈ 100.88 yd

The shortest distance along the track to Alex's starting point is about 100.9 yards.

_____

<em>Additional comment</em>

The exact distance is 120(13π-40) yards. The distance will vary according to your approximation for pi. If you use 3.14, this is about 98.4 yards.

You might be interested in
If you had a 15 foot ladder, how far away from the base of a wall would you have to put it to reach a window 12 feet up?
Kruka [31]

Answer:

9.000000001

Step-by-step explanation:

If the hypotenuse is  15, the ladder, facing the right angle, and the opposite is 12 we need to use SOH to find the angle.

sin of angle is opposite / hypotenuse

sin of angle is 12 / 15

12/15 = 0.8

sin^-1 of 0.8 = 53.13010235

Angle is that

Then we do this again but a different equation

cos of angle is adjacent (x which we are looking for) / hypotenuse

cos of 53.13... is x / 15

(15 x cos of 53.13... )is x

So 15 x cos of 53.13... is 9.000000001 feet away.

5 0
2 years ago
Solve the equation for x. show each step of the solution. name the justifications for each step of the solutions.
sweet [91]
9/2{8-x}+36=102-5/2{3x+24}
you first use 9/2 to open brackets
9/2*8=36,
9/2*x=9/2x
36-9/2x=102-5/2{3x+24}
5/2*3x=15/2x+60
36-9/2x=-15/2x-60
36+60=15/2x+9/2x
96=12x you then divide and the answer obtained will be 8.
x=8
5 0
3 years ago
Suppose that hot dogs come in packs of 9 and buns come in packs of 7. Jim bought the same number of hot dogs as buns. It was the
Ilia_Sergeevich [38]

List the multiples of each qty:

7, 14, 21, 28,35,42,49,56,63

9, 18, 27, 36, 45, 54, 63

The least common multiple is 63

He bought 63 hotdogs and buns

3 0
3 years ago
Read 2 more answers
6x+4(150/x)=120 plz awnser for me
Gennadij [26K]

Answer:

x=10

Explaination:

4 0
3 years ago
Algebra Math
Anna71 [15]
Since 66 kilograms is 3 times the smaller carton, we do 66/3 to find that the smaller carton weighs 22 kilograms

Hope this helps
4 0
3 years ago
Other questions:
  • There are 5 4/5 cups of milk left in a carton write 5 4/5 as an improper fraction
    5·1 answer
  • Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
    13·1 answer
  • Which could be the first step in solving the equation represented by the model below? 3 x tiles and 4 negative 1 tiles = 2 x til
    7·2 answers
  • You are in talks to settle a potential lawsuit. The defendant has offered to make annual payments of $15,000, $25,000, $40,000,
    13·1 answer
  • Joel is a service assistant at a supermarket. He is 19 years old.<br><br>What is Joel’s weekly pay?
    9·2 answers
  • What value of k makes this equation true? ANSWER ASSAP<br><br><br><br> 39 = k - 11
    5·2 answers
  • What is the formula to find if 2 lengths form a triangle
    7·1 answer
  • 3&lt;-5n+2n<br>can anyone help me​
    11·1 answer
  • Diego is solving this system of equations:
    6·1 answer
  • how do i find the type of relationship of a table? whether it is linear or quadradic and how do i find the formula for either re
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!