Answer:
The number of ways are there to paint the four buildings is 48.
Step-by-step explanation:
I) let the first building be any color. Therefore the first building can be painted with any of the 4 colors.
Therefore the first building can be colored in 4 ways.
ii) the second building can be colored in 3 ways since it cannot be colored the
same color as the first building.
iii) the third building can also be colored in 3 ways.
iv) the last building can be colored in 2 ways because it cannot be the same color as the first building or the color of the adjacent building.
Therefore the total number of ways the buildings can be colored = 4 
3 3 2 = 48.
Answer:
A.
Step-by-step explanation:
Recall: SOHCAHTOA
Reference angle = θ
Side Adjacent to θ = 8
Hypotenuse = 15
Therefore, we would apply CAH since we know the hypotenuse and the adjacent length.
Thus:
Cos θ = Adj/Hyp = 8/15
Cos θ = 0.5333
θ = Cos^{-1}(0.5333)
θ = 57.7713051°
θ = 57.8° (to nearest tenth)
Answer:
The Answer is Something owned.
Step-by-step explanation:
please give brainliest.
Answer:
A
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180 for third angle
third angle = 180° - (39 + 56)° = 180° - 95° = 85° → A
As ray UW bisects ( divides the angles into two equal parts )
WUT = WUV
6x - 10° = 4x + 6°
6x - 4x = 6° + 10°
2x = 16°
x = 16° ÷ 2 = 8°
Putting the value of x in the Angle WUT
6 × 8° - 10° = 48° - 10° = 38°
