Perimeter = 2(l + w)
Thus,
102 = 2(l + w)
l = 6 + 2w
102 = 2( 6 + 2w + w)
102 = 12 + 4w +2 w
102 = 12 + 6w
90 = 6w
Thus, w = 15.
Length = 6 + 2w
= 6 + 30
= 36.
Thus, the length is 36 meters and width is 15 meters.
Answer:
length= 17.5 m , breadth = 12.5 m
Step-by-step explanation:
The ratio of length : breadth = 7 : 5 = 7x : 5x ( x is a multiplier )
Then
2l + 2b = perimeter ( l is length, b is breadth )
2(7x) + 2(5x) = 60
14x + 10x = 60
24x = 60 ( divide both sides by 24 )
x = 2.5
Then
length = 7x = 7 × 2.5 = 17.5 m
breadth = 5x = 5 × 2.5 = 12.5 m
Answer:
see explanation
Step-by-step explanation:
Using the double angle identity for sine
sin2x = 2sinxcosx
Consider left side
cos20°cos40°cos80°
=
(2sin20°cos20°)cos40°cos80°
=
(2sin40°cos40°)cos80°
=
(sin80°cos80° )
=
(2sin80°cos80° )
=
. sin160°
=
. sin(180 - 20)°
=
. sin20°
=
= right side , thus proven
All you have to do is multiply those two numbers and whatever u get is ur answer
Use a factor<span> tree to express </span>60<span> as a </span>product<span> of prime </span>factors<span>. So the prime factorization of </span>60<span> is 2 × 2 × 3 × 5, which can be written as 2 </span>2<span> × 3 × 5.</span>