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Komok [63]
3 years ago
8

Two trains start from towns 256 miles apart and travel towards each other on parallel tracks. They pass each other 1.6 hours lat

er. If one train travels 10 mph faster than the other, find the speed of each train.
Mathematics
1 answer:
Alecsey [184]3 years ago
5 0
One train is going 85 mph and the other 75 mph
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The equation h=7sin(pi/21t)+28 can be used to model the height, h, in feet of the end of one blade of a windmill turning on an a
satela [25.4K]

Answer:

7 feet is the length of the blade of the windmill.

Step-by-step explanation:

We have the equation

h = 7 sin(pi/21t) + 28 ------ eq1

At time 't' = 0, the end of the blade is pointing to the right parallel to the ground meaning it is at the same height as the other end. (Ф = 0°)

So, by calculating the maximum height of this end at  Ф = 90°. we can calculate the length of the blade.

Now, we know that a general model equation of a circular simple harmonic motion is represented as :     y = A sinωt + k ----- eq2

Where A is the amplitude that is, maximum displacement from mean to maximum position.

ω is the angular frequency.

Comparing eq1 and eq2:

A = 7

so the difference in blades end height at Ф = 0° and Ф = 90° is 7 feet.

Hence, the length of the blade is 7 feet.

4 0
3 years ago
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Expand and simplify 5(3x+2)-2(4x-1)
blsea [12.9K]

5(3x+2)-2(4x-1)

= 15x+10-8x+2

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6 0
2 years ago
Stephen's lunch bill is currently at $8.33. Stephen orders a fruit salad for take-out, and wants to leave $2.25 as a tip for his
Salsk061 [2.6K]

Answer:

$1.53

Step-by-step explanation:

The computation of the change in the bill is shown below:

Total money he has to pay is

= $8.33 + $2.25

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And, he have  

= $10 + $5

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So, the change would be

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6 0
3 years ago
Solve for m. <br>5m + 3m - 8 = 64<br> a m = 9<br> b m = 2<br> c m = -2 <br>d m = 5
Vesnalui [34]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{m = 9}}}}}

Option A is the correct option

Step-by-step explanation:

\sf{5m + 3m - 8 = 64}

Collect like terms

⇒\sf{8m - 8 = 64}

Move 8 to right hand side and change it's sign

⇒\sf{8m = 64 + 8}

Add the numbers

⇒\sf{8m = 72}

Divide both sides of the equation by 8

⇒\sf{ \frac{8m}{8}  =  \frac{72}{8} }

Calculate

⇒\sf{m = 9}

Hope I helped!

Best regards!!

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