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lidiya [134]
3 years ago
12

David is an enthusiastic cyclist. He uses an app on his phone to track each of his cycling sessions below is shown some informat

ion about his last three
Mathematics
1 answer:
andrew11 [14]3 years ago
7 0

The required diagram is attached in the picture below :

Answer:

15.05 miles

2 :09:12

5 hours 19 minutes 18 seconds

Step-by-step explanation:

Given :

28/4/18:

Time : 1 :03 : 25

Fastest mile = 02 : 25

Distance = 15.05 miles

03/5/18:

Time : 2:06: 41

Fastest mile = 02 : 53

Distance = 28.70 miles

08/5/18:

Time : 2 :09:12

Fastest mile = 02 : 45

Distance = 26.39 miles2

1.) shortest distance cycled :

From the data:

15.05 < 26.39 < 28.70

Shortest distance cycled = 15.05 miles

The longest the cycled:

1 :03 : 25 < 2:06: 41 < 2 :09:12

Longest = 2 :09:12

Total cycling time :

1 :03 : 25 + 2:06: 41 + 2 :09:12

(1 + 2 + 2)= 5 hrs

(03 + 06+ 09) = 18 minutes

(25 + 41 + 12) = 78 seconds = 1 minute 18 seconds

18 minutes + 1 minute = 19 minutes

Total = 5 hours 19 minutes 18 seconds

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What number is 120% of 70
kaheart [24]

70/x=100/120
(70/x)*x=(100/120)*x       - we multiply both sides of the equation by x
70=0.833333333333*x       - we divide both sides of the equation by (0.833333333333) to get x
70/0.833333333333=x
84=x
x=84

now we have:
<span>120% of 70=84</span>
8 0
4 years ago
Find the length of the third side. If necessary, round to the nearest tenth. 10 14 ​
abruzzese [7]

Answer:

9.8 units

Explanation:

According to Pythagoras theorem, the square of length of the hypotenuse is equal to the sum of squares of lengths of other two sides.

Let the third side be x units.

Then,

x² + 10² = 14²

=> x² + 100 = 196

=> x² = 196 - 100

=> x² = 96

=> x = √96

=> x = 4√6

=> x = 9.79....

=> x = 9.8 (Rounding to the nearest tenths)

So, the length of the third side is 9.8 units.

5 0
3 years ago
2w+4w^2-5w^3
Shtirlitz [24]

Sorry, but this problem cannot be simplified.

It stays how it is.

3 0
3 years ago
Consider the line 7x+6y= 8. What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this
Lesechka [4]

Answer:

The slope of a line parallel to this line is -7/6, and the slope of a line perpendicular to this line is 6/7.

Step-by-step explanation:

7x+6y=8

6y=8-7x

6y=-7x+8

y=-7/6x+8/6

y=-7/6x+4/3

Parallel lines have the exact same slopes, but perpendicular lines have negative reciprocal slopes.

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Find the equation of the line passing through the points (-3,8) and (3,-4). Write the
VLD [36.1K]

Answer:

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