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FromTheMoon [43]
3 years ago
5

The length of the hypotenuse is??

Mathematics
2 answers:
lara31 [8.8K]3 years ago
7 0

Answer: 14.32

Step-by-step explanation:

To find the length of the hypotenuse, we need to use the Pythagorean Theorem.

Pythagorean Theorem: a²+b²=c²

Since we are given the legs, we can plug them in to find c.

6^2+13^2=c^2           [exponent]

36+169=c^2           [add]

205=c^2                   [square root both sides]

c=\sqrt{205}

c=14.32

The hypotenuse is approximately 14.32.

yawa3891 [41]3 years ago
5 0

Answer:

x = 14.31

Step-by-step explanation:

According to PYTHAGORAS Theorem,

let the Hypotenuse be x

{6}^{2}  +  {13}^{2}  =  {x}^{2}  \\ 36 + 169 =  {x}^{2}  \\ 205 =   {x}^{2}   \\  \sqrt{205}  = x \\ x = 14.31

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The graph below describes the journey of a train between two cities.
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[A] Acceleration in first 15 min = 200  km/h²

[B] Distance between two cities = 125 km

[C] Average Speed of journey =  62.5  km/hr

Step-by-step explanation:

To Solve:

Acceleration in first 15 min

Distance between two cities  

Average speed of journey

Solve:

[A] Work out the acceleration, in km/h?, in the first 15 mins.

Each horizontal block is 1/8 hr = 7.5 min

Each vertical block is 10 km/hr

Time                     Velocity  km/hr

0 Min  ( 0 hr)            0

15 Min (1/4 hr)           50

45 Min (3/4 hr)         50

60 MIn  ( 1 hr)            100

90 Min  ( 3/2 hr)        100

120 Min ( 2hr)            0

Acceleration in first 15 min  (1/4 hr)  =  (50 - 0)/(1/4 - 0)  = 50/(1/4)

= 200  km/h²

Hence, Answer for [A] = 200  km/h²

[B] Work out the distance between the two cities. $60 Velocity (in km/h)

= (1/2)(0 + 50)(1/4 - 0)  + 50 * (3/4 - 1/4)  + (1/2)(50 + 100)(1 - 3/4)  + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)

=  25/4  + 25 + 75/4   + 50 + 25

= 125

Distance between two cities = 125 km

[C] Work out the average speed of the train during 20 the journey.

Average Speed of journey = 125/2  = 62.5  km/hr

[RevyBreeze]

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2 years ago
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