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Montano1993 [528]
3 years ago
13

A "Local" train leaves a station and runs at an average rate of 35 mph. An hour and a half later an "Express" train leaves the s

tation and travels at an average rate of 56 mph on a parallel track. How many hours after the Express train starts will the it overtake the Local?
Mathematics
2 answers:
Phantasy [73]3 years ago
8 0
Hello,

Let's assume x the time the express runs.

56*x=35*(1.5+x)
==>21x=52.5

==>x=2.5 h =2 h 30 min
Bogdan [553]3 years ago
3 0
X=2.5 h =2 h. 30 min.
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4 years ago
find the value of solid figure not including hole cutout. Round to two decimal places. Cube figure is 12 feet long with 4 ft cut
Artemon [7]

Answer:

1577.20 ft³

Step-by-step explanation:

Cube of length = 12 ft = a

Hole diameter which is cutout = 4 ft = d

Hole radius which is cutout = 4/2 =2 ft = r

Volume of the cube = a³

⇒Volume of the cube = a×a×a

⇒Volume of the cube = 12×12×12

⇒Volume of the cube = 1728 ft³

The hole cut out will be in the shape of a cylinder

Volume of cylinder = πr²h

⇒Volume of cylinder = π×2²×12

⇒Volume of cylinder = 150.79 ft³

Now volume of the solid figure with hole cut out is

Volume of the cube - Volume of cylinder

=1728 - 150.79

=1577.20 ft³

∴ Volume of solid figure not including hole cutout is 1577.20 ft³

5 0
4 years ago
On a piece of paper graph y < 2x - 3 then determine
andrezito [222]

Answer

3.5

Step-by-step explanation:

y < 2x - 3 = 3.5

2x is greater than y and y is an unknown value you can solve this by using a two step equation

5 0
3 years ago
Integration of the following function
DerKrebs [107]

Answer: None of the above

Step-by-step explanation:

Given

\frac{\mathrm{d} \bar{c}}{\mathrm{d} x}=-6x^{-2}+\frac{1}{6}

d\bar{c}=\left (  -6x^{-2}+\frac{1}{6}\right )dx

Now, integrating both sides

\int d\bar{c}=\int \left (  -6x^{-2}+\frac{1}{6}\right )dx

\bar{c}=-6\frac{x^{-2+1}}{-2+1}+\frac{1}{6}x+k_1

\bar{c}=6x^{-1}+\frac{1}{6}x+k_1

6 0
3 years ago
A regular pentagonal prism has a volume of 2,850 cubic millimeters. what is the height of the prism? a regular pentagonal prism
zlopas [31]

Answer:

Height = 19mm.

Step-by-step explanation:

Area of a regular polygon =  (A * P) / 2 where A = side / (2 * Tan (π / N)) where, N = Number of sides, A = Apothem,  P = Perimeter.

Here A = 5, P = 5*12 = 60 so

Area  of the base  = (5 * 60) / 2 = 150 mm^2.

Volume = area base * height so

Height = volume / area of base

            = 2850 / 150

            = 19 mm.

5 0
2 years ago
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