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Setler [38]
3 years ago
11

Two trains, Train A and Train B, simultaneously depart Station A and Station B. Station A and Station B are 252.5 miles apart fr

om each other. Train A is moving at 124.7mph towards Station B, and Train B is moving at 253.5mph towards station A. If both trains departed at 10:00AM and it is now 10:08, how much longer until both trains pass each other?
Mathematics
1 answer:
omeli [17]3 years ago
4 0

-- The trains start moving at the same time.

-- The space between them is initially 252.5 miles.

-- They reduce the distance between them at the rate of (124.7+253.5)=378.2mph.

-- It will take them (252.5 / 378.2) = 0.6676 hour to meet.  

That's 40min 3.49sec .

-- After tooting and puffing toward each other for 8 minutes, they still have <em>32min 3.49sec</em> to go before they meet each other.  We're all hoping that they're on different tracks.  

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maria [59]
No they cannot be simplified together from what I know

6 0
4 years ago
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Can someone do 15?!?!?
andrew-mc [135]

<u>Given</u>:

The given triangle is a right triangle.

The length of the hypotenuse is 31 units.

The length of the leg is 23 units.

One of the angle is x.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the trigonometric ratio.

Thus, we have;

sin \ \theta=\frac{opp}{hyp}

Substituting \theta=x, the side opposite to the angle x measures 23 units and the hypotenuse is 31.

Thus, we have;

sin \ x=\frac{23}{31}

Dividing, we get;

sin \ x=0.74

Taking sin ^{-1} on both sides of the equation, we get;

x=sin^{-1}(0.74)

x=47.7

Rounding off to the nearest whole integer, we get;

x=48

Thus, the value of x is 48°

Hence, Option c is the correct answer.

5 0
3 years ago
A dog has three puppies. Spot weighs 12 ounces. Rascal weighs 9.5 ounces. Socks weighs 10.2 ounces. What is the total weight of
mario62 [17]

Answer:

c. 32 ounces

Step-by-step explanation:

Given that:

The weight of the Spot = 12 ounces

The weight of Rascal = 9.5 ounces;  &

The weight of Socks = 10.2 ounces.

To find the litters' total weight, we will sum all the given number of the puppies.

i.e. Total weight of the litter = (12 + 9.5 + 10.2) ounces

Total weight of the litter = 31.7 ounces

Total weight of the litter \simeq 32 ounces to the correct number of significant figures.

4 0
3 years ago
I need help with this problem, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find
VARVARA [1.3K]

Answer:

mRP = 125°

mQS = 125°

mPQR = 235°

mRPQ = 305°

Step-by-step explanation:

Given that

  • mROP = 125°
  • ∠ROP is a central angle

Then:

  • measure of arc RP, mRP = mROP = 125°

Given that

  • ∠QOS and ∠ROP are vertical angles

Then:

  • mQOS = mROP = 125°
  • measure of arc QS, mQS = mROP = 125°

Given that

  • ∠QOR and ∠SOP are vertical angles

Then:

  • mQOR = mSOP

Given that

  • The addition of all central angles of a circle is 360°

Then:

mQOS + mROP + mQOR + mSOP = 360°

250° + 2mQOR = 360°

mQOR = (360°- 250°)/2

mQOR = mSOP = 55°

And (QOR and SOP are central angles):

  • measure of arc QR, mQR = mQOR = 55°
  • measure of arc SP, mSP = mSOP = 55°

Finally:

measure of arc PQR, mPQR = mQOR + mSOP + mQOS = 55° + 55° + 125° = 235°

measure of arc RPQ, mRPQ = mROP + mSOP + mQOS = 125° + 55° + 125° = 305°

6 0
3 years ago
Yesterday, Brian had 97 baseball cards. Today, he got more. Using
Ket [755]

Answer:

97+x

Step-by-step explanation:

Let x represent how many cards he got.

3 0
3 years ago
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