Answer:
2000π in³/s
or 6283.2 in³/s
Step-by-step explanation:
dr/dt = 5
volume of sphere is given as
v = (4/3)(π)r³
differentitate wrt r
dv/dr = 3×4/3 ×π×r²
dv/dr = 4πr²
put r = 10
dv/dr = 4π(10)²
dv/dr = 400π
by chain rule
dv/dt = dv/dr ×dr/dt
dv/dt = 400π× 5
dv/dt = 2000π in³/s
or dv/dt =6283.2 in³/s
The question is incomplete without the diagram.
Answer:
Icosahedron + Tetrahedron
Octahedron +Tetrahedron
Step-by-step explanation:
Polyhedron 1: Solid:_Icosahedron__ Number: __1___
Solid:_Tetrahedron____ Number: _20____
Polyhedron 2: Solid:___Octahedron__ Number: __1___
Solid:__Tetrahedron___ Number: __8___
Answer:
Angles opposite one another that share a vertex are called <u>vertical</u> angles.
When one of these angles undergo a rigid transformation so that it fits exactly over the other, we know that the two angles are <u>congruent</u>
When two parallel lines are crossed by another line called the <u>transversal</u> the angles created inside the parallel lines but on opposite sides of the crossing lines are called <u>alternate</u> <u>interior</u> angles. Angles of this type have the same measurement as one another. Two figures are <u>similar</u> if one can fit exactly over the other after rigid transformations and dilations
Step-by-step explanation:
Vertically opposite angles are always equal (congruent)
The transversal line is the line that crosses two or more parallel lines
Alternate interior angles formed by two parallel lines crossed by a common transversal, are congruent
Two plane geometric figures are similar if they their corresponding interior angles are congruent
