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satela [25.4K]
3 years ago
11

In boot camp, a cadet must use a rope swing to cross an obstacle without falling into the water hazard below. Unfortunately, the

y miss the platform on the other side and swing back to where they started. If it takes the cadet 3.5 seconds to swing from one side of the obstacle to the other and back, how Lind is the rope swing? Use the formula: T= 2 pi square root over L/9.8
Mathematics
1 answer:
horrorfan [7]3 years ago
7 0

Answer:

3.04m

Step-by-step explanation:

Time taken to swing the rope = 3.5s

Length of the rope = L

T = 2π√(L / 9.8)

3.5 = 2π√(L / 9.8)

take the square of both sides

(3.5)² =[2π√(L/9.8)]²

12.25 = 39.48 × (L / 9.8)

12.25 = 39.48L / 9.8

39.48L = 12.25 × 9.8

39.48L = 120.05

L = 120.05 / 39.48

L = 3.04m

The length of the rope is 3.04m

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Endpoint: (9,-10), midpoint: (4,8)
Alika [10]

Answer:

( -1 , 26)

Step-by-step explanation:

So since you need to find the other endpoint, you would follow these steps:

1.) 4 = \frac{9 + x}{2\\}

2.) 8 = 9 + x  ( you just multiplied the 2 to the 4 to get 8)

3.) -1 = x  (just solve it like a regular equation, so just subtract 9 on both sides                  to get rid of it and that leaves you with -1 = x)

You took the x values of both points and put them in the equation.

And its the same for y

1.) 8 = \frac{-10 + y}{2}

2.) 16 = -10 + y

3.) 26 = y   (you added the 10 on both sides because the 10 was negative and that took the 10 out and so it left you with 26 = y)

5 0
3 years ago
Which of the statements are true regarding dot plots bar graphs and historgrams
andrey2020 [161]

the only statement that is true is the one in option D.

"Bar graphs are used to represent data that is discrete".

<h3>Which of the statements are true regarding dot plots, bar graphs, and histograms?</h3>

Dot plots,  bar graphs, and histograms are used to repersent graphically data sets.

Thus, what these graphs do represent are populations in a data set with a given property.

Remember that data is usually discrete, so we usually use dot plots and bar graphs to represent discrete data.

Histograms show distributions of numerical data (it can be used for continuous or discrete data).

With all that in mind, we conclude that the only statement that is true is the one in option D.

"Bar graphs are used to represent data that is discrete".

If you want to learn more about data sets:

brainly.com/question/3514929

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3 0
1 year ago
-2(bx - 5) = 16<br><br> What’s does b and x equal?
horrorfan [7]
To solve this problem you must apply the proccedure shown below:
 You have the following equation given in the problem above:
 <span>-2(bx - 5) = 16
</span> When you solve for bx, you have:
 <span>-2(bx - 5) = 16
 -2bx-10=16
 -2bx=26
 bx=26/-2
 bx=-13

 When you solve for b, you obtain:
 </span><span>-2(bx - 5) = 16
 -2bx=26
 b=-(26/2x)

 When yoo solve for x:
 </span>2bx=26
 x=-(26/2b)<span>

 </span>
3 0
3 years ago
The graph shows the functions f(x), p(x), and g(x):
Zinaida [17]
A) The solutions to this set of equation is where the graphs cross. They cross at point (-3, -2).

B) The solutions for f(x) would be points that fall on the graph of f(x). Two possible points are (-3, -2) and (-7, 3)

C) These 2 functions cross at (4, 1). That is the solution.
3 0
3 years ago
a store is having a sale where everyhting is 15% off. If Damien wants to buy an item that originally costs $50 how much will he
babunello [35]

Answer:

35 because i had this problem before and the answer was 35 cuz yeah

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