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Ludmilka [50]
2 years ago
6

Train A leaves the station traveling east at 50 mph while train B leaves the station 30 minutes later traveling west at 65 mph.

Choose the equation below that represents the distance in miles between the two trains, D, as a function of T, the time in hours after train B has departed.
Mathematics
1 answer:
stepladder [879]2 years ago
8 0

Answer:

Change 45 min to .75 hrs

Distance = speed * time

Train A's distance = 55(t+.75)

Train B's distance = 70t

The equation

D(t) = 70t + 55(t+.75)

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For this case we can apply the Pythagorean theorem to find "x". Taking the rectangle triangle of base 5 we have:

x = \sqrt {11 ^ 2-5 ^ 2}\\x = \sqrt {121-25}\\x = \sqrt {96}\\\x = \sqrt {4 ^ 2 * 6}

By definition of power properties we have:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

So:

x = 4 \sqrt {6}

Answer:

x = 4 \sqrt {6}

8 0
2 years ago
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A skier needs to buy new ski poles during a ski trip to utah . The price of the poles is $24 and the sales tax is 4.7%. What is
leva [86]
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6 0
3 years ago
What is x? I will give brainliest if you explain your answer.
horsena [70]

Answer:

  • x =  {0, π/2, 3π/2, 2π}

Step-by-step explanation:

  • cotx cos x - cot x = 0
  • cotx( cosx - 1) = 0

1. <u>cotx = 0</u>

  • x = π/2 + πn
  • In the interval [0, 2π] we have π/2 and 3π/2

2. <u>cosx = 1</u>

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<u>So the solution set is:</u>

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3 0
2 years ago
How do you use the order of operations to simplify expressions with exponents
yaroslaw [1]
It could be PEMDAS.
That means solve by this order:
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2). Exponents
3). Multiplication
4). Division
5). Addition
6). Subtraction

To remember the order they say it like
this " Please Excuse My Dear Aunt Sally "




6 0
2 years ago
Which set of side will make a triangle
Ostrovityanka [42]

Answer:

d.10cm,5cm,9cm

Step-by-step explanation:

In a triangle, the length of each side must be between the difference and the sum of the lengths of the other sides.

a. 1 + 1 = 2; 2 < 3     Answer: no

b. 2 + 3 = 5; 5 = 5     Answer: no

c. 10 - 3 = 7; 7 > 4      Answer: no

d. 10 + 5 > 9

5 + 9 > 10

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10 - 9 < 5

9 - 5 <10

Answer: yes

6 0
3 years ago
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