Perimeter of a rectangle: 2(l+w)
Let width be 'x'
Length is 3 meters more than twice 'x'
Length= 2x+3.
L= x
W = 2x+3
Formula =
2(x+2x+3)
2(3x+3)
6x+6.
6(x+1)
<u>EXPLANATION</u><u>:</u>
Given that
sin θ = 1/2
We know that
sin 3θ = 3 sin θ - 4 sin³ θ
⇛sin 3θ = 3(1/2)-4(1/2)³
⇛sin 3θ = (3/2)-4(1/8)
⇛sin 3θ = (3/2)-(4/8)
⇛sin 3θ = (3/2)-(1/2)
⇛sin 3θ = (3-1)/2
⇛sin 3θ = 2/2
⇛sin 3θ = 1
and
cos 2θ = cos² θ - sin² θ
⇛cos 2θ = 1 - sin² θ - sin² θ
⇛cos 2θ = 1 - 2 sin² θ
Now,
cos 2θ = 1-2(1/2)²
⇛cos 2θ = 1-2(1/4)
⇛cos 2θ = 1-(2/4)
⇛cos 2θ = 1-(1/2)
⇛cos 2θ = (2-1)/2
⇛cos 2θ = 1/2
Now,
The value of sin 3θ /(1+cos 2θ
⇛1/{1+(1/2)}
⇛1/{(2+1)/2}
⇛1/(3/2)
⇛1×(2/3)
⇛(1×2)/3
⇛2/3
<u>Answer</u> : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.
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Answer:
Rational,integer
Step-by-step explanation:
Answer:
Least common multiple (LCM) of 5 and 10 is 10.
Answer:
See below.
Step-by-step explanation:
1.
5^2 + 12^2 = x^2
25 + 144 = x^2
169 = x^2
x = 13
2.
3^2 + x^2 = [sqrt(10)]^2
9 + x^2 = 10
x^2 = 1
x = 1
3.
1^2 + x^2 = 4^2
1 + x^2 = 16
x^2 = 15
x = sqrt(15)
4.
[sqrt(27)]^2 + x^2 = 6^2
27 + x^2 = 36
x^2 = 9
x = 3
5.
15/5 = c/sqrt(29)
5c = 15 * sqrt(29)
c = 3sqrt(29)
6.
26/13 = x/12
2 = x/12
x = 24