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
Scilla [17]
3 years ago
7

You and your friends find a rope that hangs down 15 m from a high tree branch right at the edge of a river. You find that you ca

n run, grab the rope, swing out over the river, and drop into the water. You run at 2.0 m/s and grab the rope, launching yourself out over the river.
Mathematics
1 answer:
Crazy boy [7]3 years ago
6 0

Answer:

Vertical angle=9.5°

Time to reach maximum height = 1.24seconds

Step-by-step explanation:

The maximum distance x is reached when rope swings to a maximum height, maximum height is gotten from the equation KE= 1/2MU^2 = MgH = MgL= Mgl(1- cos theta.

Where theta is the vertical angle, U=2m/s and L= 15m

2gl -2glcostheta=U^2

2gl U^2=2gl cos theta

But theta= Acos(1- U^2)/2gl

Acos(1-/(2×9.8×15)

Theta =9.5°

Maximum height li given by

Lsintheta

But X= UxT

T=X/UX= Lsintheta/U = 15sin9.5 /2 =1.24seconds

You might be interested in
What is the slope of the line that passes through the points
yulyashka [42]

Answer:

A

Step-by-step explanation:

Hope this helped! Please tell me if I'm wrong!

5 0
3 years ago
Please can you help me with this
Gwar [14]

Answer:

The answer would be 0

Step-by-step explanation:

Because halfway of 4, -2 is 0

7 0
3 years ago
Read 2 more answers
To make sure that a given parallelogram is a rectangle, at least hon many of
zmey [24]

Answer:

D. One

Step-by-step explanation:

     A parallelogram will have two sets of equal sides. Since we have that fact, all we need to know are the angles.

     A quadrilateral will have a total of 360° in its angles. If only one angle is equal to 90°, then we can do <u>the math</u> to figure out that all the others must be 90° as well. A rectangle is a parallelogram with the opposite sides being parallel and all the angles being 90°. This then answers the question.

     "<u>The Math</u>"

-> Keep in mind there will be four angles

-> Once we subtract the first angle of 90°, we will have three angles left. Hence why we divide by 3.

360° - 90° = 270°

270° / 3 = 90° ✓

8 0
2 years ago
A shipping service restricts the dimensions of the boxes it will ship for a certain type of service. The restriction states that
Igoryamba

Answer:

w =< 70

(width is less or equal to 70 inches)

Step-by-step explanation:

Let l = length, w = width, h = height

Restrictions given in this question:

'sum of perimeter of the base and the height cannot exceed 130 inches'

perimeter of the base is 2 width and 2 length of the box

perimeter = 2w + 2l

Therefore, inequality involves here is

2w + 2l + h =< 130

(Note that =< here means less or equal)

Then a new condition given with

height, h = 60 in

and length is 2.5 times the width

l = 2.5w

Substitute this new condition into the equation will give us the following:

2w + 2(2.5w) + 60 =< 130

2w + 5w + 60 =< 130

7w + 60 =< 130

7w =< 130-60

7w =< 70

w =< 10

4 0
3 years ago
a counter top is in the shape of a trapezoid. The lengths of the bases are 70 1/2 and 65 1/2 inches long. The area of the counte
nekit [7.7K]
For the trapezoid, the equation used to solve for the area is,
                           A = (0.5)(b₁ + b₂)(h)
where b₁ and b₂ are the measure of the bases and h is the height. Substituting the known values above,
                          1224 = (0.5)(70.5 + 65.5)(h)
                                     h = 18
Thus, the height of the counter top is 18 inches. 
7 0
3 years ago
Other questions:
  • 9+8= with line across equal sign 12+=?
    5·1 answer
  • Frank paid 5% sales tax on his television, which cost $769 before taxes. What did the television cost in total?
    7·1 answer
  • Five toppings for a pizza are available at Polina's Pizza. How many combinations of two different toppings are possible?
    15·1 answer
  • A ²-3ac+c ² if a=-2/3 and c=1/5
    13·1 answer
  • Please help and thank you
    8·1 answer
  • If the first step in the solution of the equation -9 + x = 5x - 7 is "subtract x," then what should the next step be?
    15·1 answer
  • each and every day a local grocery store sells 2 pounds of banana for $1.00. can the cost of 2 pounds of banana be represented a
    12·1 answer
  • If sina-Cosa= o find coseca.<br><br><br>​
    14·1 answer
  • Solve for x.<br> 1/3 x+4=-2/3 x+12
    11·2 answers
  • 1. Is the average change in population is the same now as it was 50 years ago? Explain your answer.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!