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Wittaler [7]
3 years ago
7

Joanna ran a mile in physical education class. After resting for one hour, her heart rate was 60 beats per minute. If her heart

rate decreased by 2 over 5 , what was her heart rate immediately after she ran the mile?
Mathematics
1 answer:
umka2103 [35]3 years ago
8 0
<span>Let x be Joanna's heart rate immediately after running one mile. After this heart rate x decreased by 2 over 5, Joanna's heart rate was 60 beats per minute. We can set up an equation to solve this question. x - (2/5) x = 60 (3/5) x = 60 x = (5/3) 60 x = 300 / 3 x = 100 Joanna's heart rate immediately after running one mile was 100 beats per minute.</span>
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solong [7]

Answer:

The end of the flagpole is 50.79 ft away from the base of the pole.

Step-by-step explanation:

The problem is represented by the diagram below.

The broken flagpole forms the shape of a right angled triangle. We need to find one of the sides of the triangle, the adjacent (x).

The hypotenuse is the broken part of the flagpole (53 ft), while the opposite is the part of the flagpole that is still stuck to the ground (28 ft).

Using Pythagoras theorem, we have that:

hyp^2 = adj^2 + opp^2

=> 53^2 = x^2 + 28^2

3364 = x^2 + 784\\\\=> x^2 = 3364 - 784\\\\x^2 = 2580\\\\x = \sqrt{2580}\\ \\x = 50.79 ft

The end of the flagpole is 50.79 ft away from the base of the pole.

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Step-by-step explanation:

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The answer and procedures of the exercise are attached in the following archives.

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