X=100°
y=180°-100°-50°
=30°
Answer:
Volume of sphere = 4.186 cubic inches
Step-by-step explanation:
Radius of sphere = r = 1 inch
Volume of sphere = ?
The formula used is:
Putting value of radius and π and finding volume:
So, Volume of sphere = 4.186 cubic inches
Answer: 16 hours
Step-by-step explanation:
Given
Carla earns for each hour she works
Last week she earned $148 total including tip
So, the sum of hourly income and must be equal to the total money earned
Suppose she works for hours
Thus, she works 16 hours last week
Answer:
x = 76/15
Step-by-step explanation:
Solve for x:
-(3 x)/4 + 1/3 + 6 = x/2
Put each term in -(3 x)/4 + 1/3 + 6 over the common denominator 12: -(3 x)/4 + 1/3 + 6 = -(9 x)/12 + 4/12 + 72/12:
-(9 x)/12 + 4/12 + 72/12 = x/2
-(9 x)/12 + 4/12 + 72/12 = (-9 x + 4 + 72)/12:
(-9 x + 4 + 72)/12 = x/2
Grouping like terms, -9 x + 4 + 72 = (72 + 4) - 9 x:
((72 + 4) - 9 x)/12 = x/2
72 + 4 = 76:
(76 - 9 x)/12 = x/2
Multiply both sides by 12:
(12 (76 - 9 x))/12 = 6 x
(12 (76 - 9 x))/12 = 12/12×(76 - 9 x) = 76 - 9 x:
76 - 9 x = (12 x)/2
12/2 = (2×6)/2 = 6:
76 - 9 x = 6 x
Subtract 6 x from both sides:
76 + (-9 x - 6 x) = 6 x - 6 x
-9 x - 6 x = -15 x:
-15 x + 76 = 6 x - 6 x
6 x - 6 x = 0:
76 - 15 x = 0
Subtract 76 from both sides:
(76 - 76) - 15 x = -76
76 - 76 = 0:
-15 x = -76
Divide both sides of -15 x = -76 by -15:
(-15 x)/(-15) = (-76)/(-15)
(-15)/(-15) = 1:
x = (-76)/(-15)
Multiply numerator and denominator of (-76)/(-15) by -1:
Answer: x = 76/15