Answer:
(x-3)(x+2) i.e. x2 - x -6 i.e. p = -1 and q = -6
Step-by-step explanation:
<span>The central angle in a minor arc is acute. In a minor arc, the angle must be less than 180˚. However, it doesn't have to be less than 90˚. So the central angle is sometimes acute.
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It will take an object dropped from a height of 50 meters √50/0.82 = 8.62 seconds to land on the moon.
Let's say, the amount that each side was increased was "a"
so, it was 5 wide and 12 long, now it's 5+a wide and 12+a long
we know the area is 120, so whatever "a" is, we know that
(5+a)(12+a) = 120
so
use those factors, solve for "a"
The nth term of the geometric sequence is:
an=ar^(n-1)
where
a=first term
r=common ratio
n=nth term
from the question:
120=ar(3-1)
120=ar^2
a=120/(r^2)....i
also:
76.8=ar^(5-1)
76.8=ar^4
a=76.8/r^4.....i
thus from i and ii
120/r^2=76.8/r^4
from above we can have:
120=76.8/r²
120r²=76.8
r²=76.8/120
r²=0.64
r=√0.64
r=0.8
hence:
a=120/(0.64)=187.5
therefore the formula for the series will be:
an=187.5r^0.8
