Answer:
30) =
36) >
Explanation:
|x| means the absolute value and cannot be negative, so |5| and |-5| are the same.
Answer:
240cm²
explanation
Diagonal ²=Length ²+breath ²
26²=10²+length ²
676=100+length ²
576=length ²
length=24cm
Area of a rectangle=length×breath
Area=24×10
=240cm²
Answer:
x=-1,-2
Step-by-step explanation:
Multiply the given equation with (x+1) on both sides. We'll get,
x+2/x=-3
or,x^2+2=-3x
or,x^2+3x+2=0
or,x^2+2x+x+2=0
or,x(x+2)+1(x+2)=0
or,(x+2)(x+1)=0
or,x=-2,-1
We'll use the following properties of sine and cosine to prove this:



Then it's just a matter of filling it in...
sin20sin40 * sin60sin80 = 1/2(cos20 - cos60) * 1/2 (cos20 - cos140) =
1/8( cos40 + 1 - cos160 - cos120 - cos40 - cos80 + cos80 + cos200) =
1/8(1 - cos160 - cos120 + cos200) =
1/8(1 - cos160 - cos120 + cos160) =
1/8(1 - cos120 ) = 1/8( 1 + 1/2 ) = 3/16