Answer:
a) 0.356
b) 1.1397
Step-by-step explanation:
a) log₇2
b) log₇ (¹⁴⁷/₁₆)
log (7)
The joint variation that is given in the problem above can be expressed as follows:
w = k/d²
where w is the weight, k is the variation constant, and d is the distance from the center of the earth. Substituting the first scenario to obtain the value of k,
160 = k/(4000)²
k = 2.56 x 10^9
Using this value for the second scenario,
w = (2.56 x 10^9) / (8,000)² = 40 lbs
Thus, the weight of the man, 8000 miles above the center of the earth is 40 lbs.
<span>Hi! All you need to know is that cot stands for cotangent and its the reciprocal of tan i.e. cot(x) = 1/tan(x). You probably know that tan(pi/4) = 1 and that tan(3pi/4) = -1. Happily in these cases it means that cot and tan come out the same (1/1 = 1 and 1/-1 = -1).
-1 - (+1) = -2 and this divided by pi/2 = -2/(pi/2) which looks a bit untidy so multiply the top and bottom by 2 (to get rid of the 2 in pi/2) and the answer is -4/pi. HTH</span>
Answer = 2.96789 * 10 to the 9th power
C - 11 /9 = 9
Multiply both sides by 9
c - 11 = 81
add 11 to each side to isolate c
c = 81 + 11 = 92
