Answer:
p = -14
Step-by-step explanation:
5/7p - 2/7p + 12 = 6
Combine like terms
3/7 p +12 = 6
Subtract 12 from each side
3/7p + 12-12 = 6-12
3/7p = -6
Multiply each side by 7/3
7/3 * 3/7p = -6*7/3
p = -14
Answer:
volume = 2976 units^3
Step-by-step explanation:
volume = 16x15.5x12 = 2976 units^3
Answer:
Correct option is
B
0
D
−1
sinx+sin2x+sin3x
=sin(2x−x)+sin2x+sin(2x+x)
=2sin2xcosx+sin2x [ by using sin(A+B)=sinAcosB+sinBcosA and sin(A−B)=sinAcosB−sinBcosA ]
=sin2x(2cosx+1)........(i)
cosx+cos2x+cos3x
=cos(2x−x)+cos2x+cos(2x+x)
=2cos2xcosx+cos2x [By using cos(a−b)=cosa⋅cosb+sina⋅sinb and cos(a+b)=cosa⋅cosb−sina⋅sinb]
=cos2x(2cosx+1).....(ii)
∴(sinx+sin2x+sin3x)
2
+(cosx+cos2x+cos3x)
2
=1
sin
2
2x(2cosx+1)
2
+cos
2
2x(2cosx+1)
2
=1.......[From(i)(ii)]
⇒(2cosx+1)
2
=1
⇒2cosx+1=±1
∴cosx=0or−1
Answer:
(0,3)
Step-by-step explanation:
A pentagon is a closed 5 sided polygon.
A regular polygon has all sides equal as well as all angles equal.
°The formula to find the sum of all angles of a polygon is = (n-2) ×180
So for a pentagon, n= 5
So the sum of all the angles must be (5-2)× 180= 3 × 180 = 540.
Now as it is a pentagon, it shall have 5 vertices.
So there are 5 angles in a pentagon and all must be equal.
Hence each interior angle must be 540/5 = 108
So for a regular polygon with 5 sides must have each interior angle = 108