The total number of handshakes = 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 36
Answer: 36 handshakes
Answer:
14910 meters
Step-by-step explanation:
3 weeks= 21 days
each day= 710 m
21 days= 710*21
21 days= 14910 m
Answer:

Step-by-step explanation:
**This is a non-linear function and therefore <u>does not have a constant rate of change</u>. It will have a different slope depending on what points you use in the average rate of change formula:
To calculate rate of change, differentiate.
substitute y for
:

Take natural logs of both sides:

Apply the log rule
:

Differentiate with respect to
:

Mulitply both sides by
:

Replace
with 

Therefore, rate of change of the function is :

Answer:
0.1
Step-by-step explanation:
Answer:
θ = 38°
Step-by-step explanation:
The lower right triangle is congruent to the upper left triangle, so we have θ and 20° being the two acute angles in the triangle. The law of sines tells you ...
sin(θ)/9 = sin(20°)/5
sin(θ) = (9/5)sin(20°)
θ = arcsin(9/5·sin(20°)) ≈ 38°
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Another solution to the triangle is θ = 180° -38° = 142°. The diagram clearly shows θ as an acute angle, so we take this second solution to be extraneous.