Answer:
-2
Step-by-step explanation:
Equation of slope intercept form
y = (slope × x) + y intercept
A ) The angle formed by 2 consecutive radii:
Ф= 360° : 8 = 45°
b ) The angle formed by a radius and a side of a polygon:
α = (180° - 45°): 2 = 135° : 2 = 67.5°
Answer:
B ) 45°, 67.5°
Answer:
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Step-by-step explanation:
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3x-6y=2 (label equation 1)
5x+4y=1 (label equation 2)
-6y=-3x+2 (rearranged equation 1)
y=1/2x-1/3 (label equation 3)
substitute equation 3 into equation 2
5x+4(1/2x-1/3)=1
5x+2x-4/3=1
15x+6x-4=3 (multiplied everything by 3)
21x-4=3
+4 +4
21x=7
x= 7/21
x=1/3
sub x=7/21 into equation 3
y= 1/2(1/3) -1/3
y= -1/6
Therefore x=1/3 and y= -1/6
Answer:
324π in.³
Step-by-step explanation:
The figure is a cone and a half sphere.
V = (1/3)πr²h + [(4/3)πr³]/2
V = (1/3)π(36 in.²)(15 in.) + (2/3)π(216 in.³)
V = [180π + 144π] in.³
V = 324π in.³