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Digiron [165]
4 years ago
12

Amber rides 30 miles in 2 hours. Which equation shows the relationship between the distance, D, and the time, T, that she rides.

Mathematics
1 answer:
VashaNatasha [74]4 years ago
5 0
She/he is going 15mph in total 
But in 2hr She/he would have ridden 30miles

Have a Great day.
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Answer:

a) d = 36 ft. ( using Pithagoras´theorem )

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Step-by-step explanation:

a) Using Pythagoras´Theorem:

Diagonal (d) is the hypothenuse of a right triangle of side 25 feet, and according to Pythagoras´Theorem in a right triangle.

d²  =  a²  +  b²  

In this particular case  a =  b  =  25 feet then

d² =  (25)²  +  ( 25)²

d  = √ 2 * (25)²

d  = √2   * 25

d  =  1,414*25

d  =  35,35

d = 36 ft.

b) Using trigonometry:

We know that sin 45° = cos 45° =  √2 / 2

In a right triangle

sin α  =  opposite side / hypothenuse (d)

sin 45°  =  √2 / 2   =  25/ d

√2 *d  =  2* 25

d  =  50/√2

d  =  50 / 1,414

d  =  35,36

d = 36 ft

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