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icang [17]
3 years ago
15

A train is moving at an average speed of 180 m/s. how long will it take to reach the station. Both stations are 80 km apart?

Mathematics
1 answer:
Alexxandr [17]3 years ago
4 0

1 km = 1000 meters.

Find total meters: 80 km x 1000 meters per km = 80,000 meters.

Divide total meters by the given speed:

80,000 meters / 180 m/s = 444.44 seconds.

1 minute = 60 seconds

444.44. Seconds / 60 seconds per minute = 7.41 minutes = 7 minutes 24.42 seconds

Total time = 7 minutes 24.42 seconds

Round as needed.

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Eddie's Evergreens sells Christmas trees and wreaths. Trees cost 3 dollars more than 4 times the price of each wreath. It costs
kari74 [83]

Answer:

W = 16

T = 67

Step-by-step explanation:

Represent trees with T and wreaths with W

Given

T = 3 + 4 * W

2 * W + T = 99

Solving (a): Cost of W

Substitute 3 + 4 * W for T in the second equation

2*W + 3 + 4 * W = 99

2W + 3 + 4 W = 99

Collect Like Terms

2W + 4 W = 99 - 3

6W = 96

Divide through by 6

W =\frac{96}{6}

W = 16

Hence, each wreath costs $16

Solving (b): Cost of T

T = 3 + 4 * W

Substitute 16 for W

T = 3 + 4 * 16

T = 3 + 64

T = 67

Hence, each tree costs $67

3 0
2 years ago
a hexagon inscribed in a circle has three consecutive sides each of length 3 and three consecutive sides each of length 5. the c
allochka39001 [22]

According to given conditions, m+n is equal to 409.

Consider the diagram below.

In the hexagon ABCDEF, let

AB = BC = CD = 3;

DE = EF = FA = 5;

Arc BAF is equal to one-third of the circle's circumference.

Hence, ∠BCF = ∠BEF = 60°;

Similarly, ∠CBE = ∠CFE = 60°;

Let the point of intersection of BE and CF be P, BE and AD be Q and CF and AD be R.

∴ Δ EFP and Δ BCP are equilateral, and so Δ PQR is also equilateral.

Also, ∠ BAD and ∠ BED subtend the same arc and so do ∠ ABE and ∠ ADE.

∴ Δ ABQ is similar to Δ EDQ

\frac{AQ}{EQ}  = \frac{BQ}{DQ} = \frac{AB}{ED} = \frac{3}{5}

Also,

\frac{\frac{AD - PQ}{2} }{PQ + 5} = \frac{3}{5}  

and \frac{3 - PQ}{\frac{AD + PQ}{2} }  = \frac{3}{5}

On solving these simultaneous equations, we get AD = 360/49

∴ m + n = 409.

To learn more about similarity of triangles, refer to this link:

brainly.com/question/25882965

#SPJ4

4 0
1 year ago
376×74 help and show work​
hoa [83]

Answer:

27,824

Step-by-step explanation:

i just calculated it.

3 0
2 years ago
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Kahleela starts the engine on her small private airplane. The engine drives a propeller with a radius of 8.5 feet and its center
algol13

Answer:

a=21.1

Step-by-step explanation:

You can use the given (incorrect) equation and fill in the value of t to find h:

 h = 12.5 +9sin(750(3.5)) = 3.68 . . . . feet

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Or, you can use the correct equation, or just your knowledge of revolutions:

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in 3.5 minutes at 750 revolutions per minute, the propeller makes 2625 full revolutions, so is back where it started — at 12.5 feet above the ground.

4 0
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The relationship between the height of a tree and the time snice the tree was planted?
Lera25 [3.4K]

Answer:

Answer: It´s correlated. Step-by-step explanation: The graph shows that the height of the tree increases as time passes, meaning that the more time that a three has been planted the more height it has, so there´s a direct correlation between the time passing and the height of the tree.

3 0
2 years ago
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