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Igoryamba
4 years ago
14

Your heart beats 18 times every 15 seconds while at rest. While running it beats 25 times every 10 seconds. Find the heart rate

in beats per minute at rest and while running
Mathematics
2 answers:
Rufina [12.5K]4 years ago
6 0
Question A) 25 beats(while running) = 10 seconds 
1  minute = 60 seconds

 steps )To find out how many beats for 1 minute while running you have to make 10 seconds into 1 minute by multiplying and to do that you need to multiply 10 x 6 = 60 sec ( 60 seconds is one minute) after that multiply 25 beats x 6 = 150 

Answer = the heart beats 150 times per minute while running

b) 18 beats (while resting) = 15 seconds
1 minute = 60 second

steps) just like the previous steps from question A, you need to make 15 seconds into 1 minute by multiplying, so 15 x 4 = 60 seconds. After that you need to multiply 18 x 4  = 72

answer) the heart beats 72 times per minute while resting

Hope this helps :)
 
yan [13]4 years ago
3 0
For resting your heart would beat 72 times per minute and for running your heart would beat 150 times per minute (and together it would be 222)
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Using what you know about right triangle trigonometry, salt the triangle round the side to the nearest 10th and angle measures t
Elden [556K]

Answer:

Angle A = 49°  Angle B = 41°  Side AB = 30.5

Step-by-step explanation:

Let's work out Angle A and Angle B first. We are given AC and CB, therefore AB must be the hypotenuse as it is the longest side.

AC and CB must be the opposite and adjacent sides, therefore we can use tan(x) = Opposite/Adjacent for working out both Angle A and Angle B.

Angle A:

tan(A) = 23/20  For Angle A, CB (23) is the side opposite the angle and AC (20) is the side in between Angle A and the right angle, also the adjacent side.

A = tan^{-1}(\frac{23}{20})  We do the inverse of tan here.

A = 48.9909131

A = 49°  Rounding to the nearest degree simply means to the nearest whole number.

Angle B:

tan(B) = 20/23  For Angle B, AC (20) is the side opposite the angle and CB (23) is the side in between Angle B and the right angle, also the adjacent side.

B = tan^{-1}(\frac{20}{23})

B = 41.0090869

B = 41°

Side AB:

We can just use Pythagoras' Theorem here to work out AB, but I will also use trigonometry to show you how you can use both formulas. When I use trigonometry, I will only be using Angle A as an example.

Pythagoras' Theorem: a^{2}  + b^{2}  = c^{2}

AC = 20 = a

CB = 23 = b

20^{2}  + 23^{2}  = c^{2}

929 = c^{2}

c = \sqrt{929}

c = 30.47950131

c = 30.5  Rounding to the nearest 10th simply means rounding to 1 decimal place.

Trigonometry: SOHCAHTOA

Angle A = 49°

AC = 20  I will use AC as our adjacent side instead of CB. They will both give us the same answer anyways.

AB will always be the hypotenuse in the given right-angled triangle.

cos(x) = Adjacent/Hypotenuse

cos(49) = 20/AB

ABcos(49) = 20  Here we multiply by AB, our hypotenuse.

AB = 20/cos(49)  Now we divide by cos(49)

AB = 30.48506173  As you can see here, this answer is different from the Pythagoras' Theorem one because we rounded our angle values, meaning out angle values aren't exact! Instead, use Pythagoras' Theorem here for more accurate results instead of Trigonometry.

AB = 30.5  They still give us the same answer in the end!

I hope this helps you!! ^-^

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The answer is the morning temperature was 5 degrees above the afternoon temp.
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