Answer:
b = 55 degrees
Step-by-step explanation:
The angles 30, a, b and 45 must sum up to 180 degrees
Subtracting (30 + 45) from both sides leaves us with a + b = 105 degrees.
But b = a + 5. Substituting a + 5 in the equation above yields
a + a + 5 = 105 degrees, so that
2a = 100 degrees, and a = 50 degrees. Then b = a + 5, or b = 55 degrees.
Answer:
x = 9.27 cm
Volume = 289.2 cm³
Step-by-step explanation:
SA = Surface Area
SA = 229.2 cm²
P = Perimeter of Base
P = 3(6)
P = 18 cm
H = Height of Solid
H = x
A = Area of Base(Equilateral Triangle)
A = 6²√3 / 4
A = 36√3 / 4
A = 9√3
A = 9(1.732)
A = 31.176
A = 31.2 cm²
SA = Surface Area
SA = PH + 2A
229.2 = 18x + 2(31.2)
229.2 = 18x + 62.4
229.2 - 62.4 = 18x
166.8 = 18x
9.266 = x
9.27 = x
x = 9.27 cm
V = Volume
V = AH
V = 31.2(9.27)
V = 289.224
V = 289.2 cm³
