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Sergeu [11.5K]
3 years ago
8

A train travels 125.5 miles in 150 minutes 1 mike = 1.61 kilometers 1 hour = 60 minutes find the trains speed in kilometers per

hour
Mathematics
2 answers:
Rudik [331]3 years ago
8 0

Multiply 125.5 miles by 1.61 to get total kilometers:

125.5 x 1.61 = 202.055 kilometers total.


Divide 150 minutes by 60 to get total hours:

150/ 60 = 2.5 hours.

Now Divide total kilometers by total hours to get kilometers per hour:

202.055 kilometers / 2.5 hours = 80.822 kilometers per hour.

Round the answer as needed.

Dmitry_Shevchenko [17]3 years ago
7 0

Answer:

80.822 km/hour

Step-by-step explanation:

A train travels in 150 minutes = 125.5 miles.

First we will convert 125.5 miles to kilometers

1 mile = 1.61 kilometers

125.5 miles = 125.5 × 1.61

                   = 202.055 kilometers

1 hour = 60 minutes

150 minutes = \frac{150}{60}

                    = 2.5 hours

Hence the train travels 202.055 kilometers in 2.5 hours.

Therefore, The speed of the train in one hour = \frac{202.055}{2.5}

                                                                           = 80.822 km/hour

The trains speed is 80.822 km/hour.

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Write an equation of an ellipse in standard form with the center at the origin and a height of 12 units and width of 19 units.
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Answer:

The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

Step-by-step explanation:

* Lets revise the equation of the ellipse

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  and major axis parallel to the x-axis is x²/a² + y²/b² = 1  

# a > b  

- The length of the major axis is 2a  

- The coordinates of the vertices are ( ± a , 0 )  

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- The coordinates of the co-vertices are ( 0 , ± b )  

- The coordinates of the foci are ( ± c , 0 ) , where c ² = a ² − b²  

* Lets solve the problem

∵ The center of the ellipse is (0 ,0)

∵ Its width is 19 units

∴ The length of the major axis is = 19

∴ 2a = 19 ⇒ divide both sides by 2

∴ a = 19/2 ⇒ ∴ a² = 361/4

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∴ b = 12/2 = 6 ⇒ ∴ b² = 36

- Lets write the equation in standard form

∵ The equation is x²/a² + y²/b² = 1

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7 0
4 years ago
Write an equation for an ellipse centered at the origin, which has foci at (\pm8,0)(±8,0)left parenthesis, plus minus, 8, comma,
mario62 [17]

Answer:

The equation of the ellipse is \frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1

Step-by-step explanation:

The standard form of the equation of an ellipse with center (0 , 0) is

\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 , where

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Step-by-step explanation:

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3 years ago
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