Answer:
If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is
Use following formulas to determine volumes of sphere and cylinder:
wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.
Then
Answer 1: correct choice is C.
If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So
R'=2R, r'=2r, h'=2h.
Write the new fask volume:
Then
Answer 2: correct choice is D.
Step-by-step explanation:
Multpiply first equation by 3 and second by 5 to clear nasty faractions
-13x-6y=21
15x+2y=25
now see which ones we can clear
we can clear y
multiply second equation by 3 and add to the first equation
-13x-6y=21
<u>45x+6y=75 +</u>
32x+0y=96
32x=96
divide both sides by 32
x=3
sub back
15x+2y=25
15(3)+2y=25
45+2y=25
minus 45 from both sides
2y=-20
divide both sides by 2
y=-10
x=3
y=-10
(3,-10)
Answer:
Step-by-step explanation:
Comment
Since you make no other restrictions, the numbers can have duplicates.
9 + 9 + 2 is one possibility.
9 + 7 + 4 is another
9 + 8 + 3
and another 33 possibilities. Surely you are not expected to list them all. Three should be enough.
if x equals 100 then the answer will be 100 because if you multiply 100 by 3 you will get 300
