Given data, cos(A - B) = cosAcosB + sinAsinB
<span>let, A=60' and B=30' ( here the ' sign bears degree) </span>
<span>L.H.S = cos(A - B) </span>
<span>=cos (60'-30) ( using value of A and B ) </span>
<span>=cos30' </span>
<span>= sqrt3/2 </span>
<span>R.H.S= cosAcosB + sinAsinB </span>
<span>=cos60' cos30' + sin60' sin30' </span>
<span>= 1/2* sqrt3/2+ sqrt3/2*1/2 </span>
<span>= sqrt3/4 + sqrt3/4 </span>
<span>=2 sqrt3/4 </span>
<span>= sqrt3/2 </span>
<span>so L.H.S =R.H.S or cos(A - B) = cosAcosB + sinAsinB</span>
Answer:
11.25
Step-by-step explanation:
sketch a triangle and fill in the sides,add the sides and equate to 180, collect the like terms to get the value of x=11.25
Answer:
17376.1 euros
Step-by-step explanation:
100%=16870
103%=x
103% x 16870=1737610/100=17376.1
Given:
Area of rectangle = 
Width of the rectangle is equal to the greatest common monomial factor of
.
To find:
Length and width of the rectangle.
Solution:
Width of the rectangle is equal to the greatest common monomial factor of
is



Now,

So, width of the rectangle is
.
Area of rectangle is

Taking out GCF, we get

We know that, area of a rectangle is the product of its length and width.
Since, width of the rectangle is
, therefore length of the rectangle is
.
Answer:1. C 3. 52
Step-by-step explanation: