Answer:
Step-by-step explanation:
for the cylinder
27π = πr²h = πr²(2r) = 2πr³
for the sphere
V = (4/3)πr² = (2/3)(2πr³) = (2/3)27π
Answer:
Simone is correct
Step-by-step explanation:
Given
Line 1:
Line 2:
Required
Is Simone correct?
Slope (m) is calculated using:
For Line 1
For Line 2:
Divide by 2/2
By comparison, both lines have the same slope.
Hence, Simone is correct
Answer:
MQ and QP are equal, MO and OP are equal, x=2
Step-by-step explanation:
QO is a perpendicular bisector of MP meaning that Triangle MQP must be isosceles (if at least two of the following, angle bisector, median, or an altitude, coincide in a triangle, that triangle must be isosceles). In this case an altitude and median coincide in triangle MQP. This means that MQ=QP as the triangle is isosceles. And also MO=OP because QO is a median. Now solving for x, 11=4x+3, 8=4x, x=2. Hope this helps!
3x+x= 180°(straight angle)
4x= 180°
x= 180/4
x= 45°
