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motikmotik
3 years ago
7

Find the next two terms of the sequence: 80, ?40, 20, ?10, ______, ______. A) 20, 40 B) 1 2 , 1 4 C) 5, ? 5 2 Eliminate D) ?30,

?40
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0

Answer:

5, 5/2

Step-by-step explanation:

80 becomes 40 if multiplied by 1/2; 40 becomes 20 if mult. by 1/2; and so on.

Thus, the common ratio of this geometric sequence is 1/2.

1/2 times 10 is 5;

1/2 times 5 is 5/2.

Looks like this is Answer C.  Please note:  your "5, 5 2" is not a correct representation of "5, 5/2."  Please use " / " to indicate division.

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Here you would use right triangle trig (SOH CAH TOA)
So first draw a right triangle. Imagine youre standing at the angle opposite the right angle which is the one on the ground.This angle is the 41°. Now Imagine the balloon is as the angle above the right triangle. Well since the balloon is 1503 m from his location this would be the hypotenuse. SInce we are trying to find the height (x) we would use sine since
sine = opposite/hypotenuse . Now lets solve make sure calculator is in degree mode:

sin41 = x/1503      multiply both sides by 1503 to cancel it out
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x = 986.057 ft
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