Step-by-step explanation:
6a
Sn = n/2 [2a + (n-1) d]
(2Sn)/ n = 2a + (n - 1) d
2a + (n-1) d = (2Sn)/n
(n-1) d = (2Sn - 2a)/n


6b

d = ¹/16
7a.
E = (mv²)/2 + mgh
E = m( v²/2 + gh)
E/m = v²/2 + gh
E/m - gh = v²/2
2(E/m - gh) = v²
so

7b.

v = 14 m/s
-x / 3 = 6
Multiply each side by 3 : -x = 18
Multiply each side by -1 : <em> x = -18</em>
Answer:
5
Step-by-step explanation:
In a 30 60 90 triangle the shortest side is considered to be half the hypotenuse. So in this case, 10 is the hypotenuse and 10/2 = 5.
We know that
[LA]=pi*r*l
where
LA is the lateral area of the cone
r is the radius
l is the slant height
l=LA/(pi*r)
r=15.1 cm
LA=555*pi cm²
l=(555*pi)/(pi*15.1)----> l=36.75 cm
the answer is
the slant height is 36.75 cm
I is the right one because it is a half and they both look the same