The answer is
In step 2, the addition property of equality was applied.
In step 4, the division property of equality was applied.
Proof that the answer is correct.
Answer:
x∈[2nπ−5π/6, 2nπ−π/6]∪{(4n+1)π/2}, n ϵ I
Step-by-step explanation:
1−2sin2 x≤−sin x ⇒ (2sin x+1)(sin x−1)≥0
sin x≤−1/2 or sin x≥1
−5π/6+2nπ≤x≤−π/6+2nπ or , n ϵ I x=(4n+1)π/2, n ϵ I⇒ -5π6+2nπ≤x≤-π6+2nπ or , n ϵ I x=4n+1π2, n ϵ I (as sin x = 1 is valid only)
In general⇒ In general x∈[2nπ−5π/6, 2nπ−π/6]∪{(4n+1)π/2}, n ϵ I
i) Area = length x width
=250 x 100
= 25000 cm2
ii) it is a square so the sides are equal
Area = 10 x 10
= 100cm2
iii) 25000/100
250 tiles will be needed
Iv) one tile is 4.75 dollars
Total tiles are 250
Cost for tiling
=250 x 4.75
=1187.5
Hope this helps
We know that
[volume of a sphere]=(4/3)*pi*r³
r=12 in
[volume of a sphere]=(4/3)*3.14*12³-----> 7234.56 in³------> 7235 in³
the answer is the option
<span>D) 7,235 in</span>³
