Using the formula given for area:
Area = 1/2 (7 +5)4 = 1/2(12)4 = 24 square cm.
Now to find the volume multiply the area by the depth:
24 x 6 = 144 cubic cm.
You add/subtract complex numbers simply by adding/subtracting real parts and imaginary parts.
So, the real part of this sum is the sum of the real parts:
And the imaginary part of this sum is the sum of the imaginary parts:
So, you have
Answer: Because of gaps between the vertex of Pentagons and hexagon.
Step-by-step explanation:
The Pentagon has 5 sides and 5 vertex angles. While hexagon has 6 sides and six vertex angles
The sum of the angle of polygon is equal to ( n - 2 )180
Sum of the angle of a Pentagon will be: (5 - 2)×180 = 540
Each vertex angle of a Pentagon = 540/5 = 108
Sum of the angle of hexagon will be: (6 - 2)×180 = 720
Each vertex angle of a hexagon =
720/6 = 120
To interlock Pentagon and hexagon, the sum of the combination of vertex angles of both must be equal to 360 ( sum of the angles at a point = 360)
Since there is no number of combinations that can be equal to 360, there will surely be a gap.
Answer:
C. sin(90° - θ)
Step-by-step explanation:
A trig function of an angle equals the cofunction of the angle's complement.
The cofunction of cosine is sine, and the complement of θ is 90° - θ.
∴ cosθ = sin(90° - θ)
