Yes. A triangle with three sides given can be cut out.
Answer:
see explanation
Step-by-step explanation:
Using the sum/ difference → product formula
cos x - cos y = - 2sin( 
)sin (
)
sin x - sin y = 2cos ( )sin ( )
Given
(cosA - cosB)² + (sinA - sinB )²
= [ - 2sin(
)sin(
) ]² + [ 2cos( )sin( ) ]²
= 4sin² ( )sin² ( ) + 4cos² ( )sin² ( )
= 4sin² ( )[ sin² ( ) + cos² ( ) ← sin²x + cos²x = 1
= 4sin² ( ) × 1
= 4sin² ( ) = right side ⇒ proven
<u><em>Answer:</em></u>
w = -5
<u><em>Explanation:</em></u>
<u>The given equation is:</u>
2(w+1) - 3(w+1) = 4
<u>The first step is to get rid of the brackets as follows:</u>
2(w) + 2(1) - 3(w) - 3(1) = 4
2w + 2 - 3w - 3 = 4
<u>The second step is to combine like terms as follows:</u>
2w - 3w + 2 - 3 = 4
-w - 1 = 4
<u>The last step is to isolate the w on one side of the equation as follows:</u>
-w = 4 + 1
-w = 5
w = - 5
<u>Now, we check by substituting w = -5 in the original equation as follows:</u>
2(-5+1) - 3(-5+1)
= 2(-4) - 3(-4)
= -8 - -12
= -8 + 12
= 4 ..............> verified
Hope this helps :)
The Pythagorean theorem is used for this
.. diagonal = √(120² +62²) = √18244 ≈ 135.1 . . . . yards
Switch the equation around and it gives you D+B/A=C. Then subtract D from both sides, which gives you B/A=C-D. Then you multiply by A which gives you B= CA - DA
