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Minchanka [31]
3 years ago
5

A train travels 3.5 kilometers on a straight track with a grade of 1 degree 10 minutes. What is the vertical rise of the train i

n that distance?
Mathematics
1 answer:
user100 [1]3 years ago
7 0
I'm pretty sure this is Triangle stuff, with Sin, Cos + Tan, etc.

I can't remember it all I'm afraid, but the angle will be the 1 degree, 10 minutes - the Hypotenuse side will be the 3.5 km
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Pls help :( I’m so stuck in this
hodyreva [135]

Answer:

  • 99.6 ft²

Step-by-step explanation:

<u>Three faces are equal triangles with:</u>

  • base = 8 units, height = 6 ft

<u>The base is a triangle with:</u>

  • base = 8 ft, height = 6.9 ft

<u>Surface area is sum of areas of 4 faces:</u>

  • S = 3*(1/2*8*6) + 1/2*8*6.9 = 99.6 ft²
8 0
3 years ago
Read 2 more answers
In a​ state's Pick 3 lottery​ game, you pay ​$1.15 to select a sequence of three digits​ (from 0 to​ 9), such as 966. If you sel
m_a_m_a [10]

Answer:

A) 1000 different selections

B) probability of winning = 0.001

C) Net profit on winning = $257.20

D) E(y) = -0. 89165

E) Option B - The Pick 4 game is a better bet because it has a larger expected value.

Step-by-step explanation:

A) For the different selections possible, since each of the digits from 0 - 9 can take a total of 10 digits, then the different selections possible will be = 10³ = 1000 different selections

B) To find the probability of winning, since only one pick can be a winning one. Thus probability of winning = 1/1000 = 0.001

C) Net profit on winning = Amount won - Amount staked

Amount won = ​$258.35

Amount staked = ​$1.15

Thus;

Net profit on winning = ​$258.35 - ​$1.15

Net profit on winning = $257.20

D) If we call the net profit "y", then Expected value is:

E(y) = 257.2(0.001) - 1.15(1 - 0.001)

E(y) = 0.2572 - 1.14885

E(y) = -0. 89165

E) We are told that:If you bet $ 1.15 in a certain​ state's Pick 4​ game, the expected value is negative −$0.89

The expected value of -0.89 in pick 4 is better than that in pick 3 because it's larger.

6 0
3 years ago
Skylar is filling a barrel with water. The graph shows the relationship between time in minutes and the gallons of water in the
lisov135 [29]

Answer:

t>15  will be inequality which shows the times there will be more than 10 gallons in the barrel.

Step-by-step explanation:

To determine:

Write an inequality showing the times there will be more than 10 gallons in the barrel.

Information Fetching and Solution Steps:

  • Skylar is filling a barrel with water.
  • The graph shows the relationship between time in minutes and the gallons of water in the barrel.

As the questions asks to determine the inequality showing the times there will be more than 10 gallons in the barrel.

For inequalities with 'more than', we use the 'greater than' symbol.

The graph shows that at time 15 minutes, the number of gallons of water is being shown as 10. As we have to determine the inequality for the time there will be more than 10 gallons in the barrel. So, time must be greater than 15 when there will be more than 10 gallons in the barrel.

If time is represented by 't', then the inequality showing the times there will be more than 10 gallons in the barrel will be:

                                                                   t>15

Therefore,  t>15  will be inequality which shows the times there will be more than 10 gallons in the barrel.

4 0
4 years ago
Find the output, y, when the input, x, is 6.
creativ13 [48]

Answer:

0

Step-by-step explanation:

Look at the graph where x=6 (As a point this would be 6,0). This equation is known as a function. Your y value is the output when evaluating a certain value of x in the equation.

3 0
3 years ago
Use the Rational Root Theorem to list all possible rational roots of the polynomial equation x3 – x2 – x – 3 = 0. Do not find th
almond37 [142]
Hello,
<span>List all possible rational roots of the polynomial equation x3 – x2 – x – 3 = 0

Answer -1,1,-3,3
but none is a root.
</span>
7 0
3 years ago
Read 2 more answers
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