Answer: x-7
Step-by-step explanation:
The volume of the sphere of radius r is:
V1 = (4/3) * (pi) * (r ^ 3)
Where,
r: sphere radius:
The volume of the sphere of radius 0.3r is:
V2 = (4/3) * (pi) * ((0.3r) ^ 3)
Rewriting:
V2 = (4/3) * (pi) * (0.027 (r) ^ 3)
V2 = 0.027 (4/3) * (pi) * (r ^ 3)
V2 = 0.027V1
The difference is:
V1-V2 = V1-0.027V1 = V1 (1-0.027)
V1-V2 = 0.973 * (4/3) * (pi) * (r ^ 3)
Answer:
the difference in volume between a sphere with radius and a sphere with radius 0.3r is:
V1-V2 = 0.973 * (4/3) * (pi) * (r ^ 3)
The perpendicular bisector of RT is B. SU.
Answer:
353 tickets.
Step-by-step explanation:
Let's say that there are s student tickets and n nonstudent tickets.
s + n = 669
5s + 8n = 4293
Multiply -5 by the entire first equation to get...
-5s - 5n = -3345
Combine the two equations.
5s - 5s + 8n - 5n = 4293 - 3345
3n = 948
n = 316
Now, put the number of nonstudent tickets sold back into the first equation.
s + 316 = 669
s = 353 tickets.
Hope this helps!
The two angles with x in them are the same. Set them equal to each other and solve for x:
4x-5 = 3x + 11
Add 5 to both sides:
4x = 3x +16
Subtract 3x from both sides:
x = 16
Now solve for the angle next to y:
4x - 5 = 4(16) -5 = 64 -5 = 59
Y + 59 make a straight line and equals 180, so subtract 59 from 180 to get y:
y = 180 - 59 = 121
Answers:
X = 16, y = 121
