help answer alll three
Answers
Step-by-step explanation:
1.
x-1/x=5
so we have to find the cube
(x-1/x)³=5³
x³-(1/x)³-3(x².1/x - x.1/x²)= 125
x³-1/x³ -3(x-1/x)=125
x³-1/x³=125+3(x²-1)
x
2.
let diameter of a rubber ball= x
diameter of a plastic bag= 3x (rubber ball is 1/3 of plastic ball so plastic ball is 3 times bigger)
now ratio of their surface area= 4πr²/4πr²
=4πx²/4π(3x)²
= x²/9x²
=1/9
therefore ratio = 1:9
3.
Here you can do it either way
let L y be 140°
and Lz be 35°
now if you extend the line it'll intersect line CD
which is || AB
let the intersecting point on CD be s
now we have triangle xzs
and we know Ls is the corresponding opposite of 140°
which is 180-140= 40°
Now in ∆ xzs
Lsxz+Lxsz+Lxzs= 180
Lsxz+ 40+35= 180
Lsxz= 180-75= 105°
this
(now if you extend the line z you'll intersect at AB
name it r
such that Lzxy+Lyxr= 180
we know that L yxr is the vertical opposite of L sxr
so, Lzxy + 105= 180
therefore Lzxy = 180-105 = 75°)
or
(you can simply find by
adding L yxz +Lzxs = 180°
where you already know the value of Lzxs,
and yxs is a straight line with x as mid point.)
Above answer is correct