Answer:
C - 9 cm
Step-by-step explanation:
We can use the Pythagorean theorem to figure out the missing side length, in this case, X.
The Pythagorean theorem states: a^2 + b^2 = c^2, with c being the hypotenuse. We have the side length of the hypotenuse which is 15, and we have another side length of 12. Let's put these back in our equation:
a^2 + 12^2 = 15^2;
If we simplify the squares by simply doing them: a^2 + 144 = 225;
Now let's subtract 144 from both sides to isolate the variable, a:
a^2 = 81;
Now we square both sides to find a:
a = 9
The missing side length is 9 cm.
The sum of any geometric sequence (if it converges, r^2<1) is of the form:
s(n)=a(1-r^n)/(1-r), a=initial term, r=common ratio, n=number of terms...
s(n)=30(1-0.4^n)/(0.6)
s(n)=50(1-0.4^n)
Since r<1 the sum of the infinite series is just:
s=50
Answer:
b
Step-by-step explanation:
using the law of logarithms
• log 
= nlogx
given 
= 29 ( take log of both sides, that is base 10 )
log = log 29, hence
tlog 3 = log29 (divide both sides by log 3 )
t = 
≈ 3.0650 → b
The sequence here start out by adding 3 then 5 then 7
we see an increse of 2 to what we are adding so to get the next one we would add 2 to 7 to get 9 then add that to 22 to get 31
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