Answer:
8
Step-by-step explanation:
Answer:
No answer
Step-by-step explanation:
Answer:
Answer3. 9.9cm^3
Step-by-step explanation:
First calculate the volume of the whole pencil. Next, calculate the volume of the lead. Last, subtract. Take away the volume of the lead from the volume of the pencil:
VolWood =
VolPencil - VolLead
First, Volume of the pencil:
vol = pi•r^2•h
= 3.14•(.4)^2•21
= 10.5504 cm^3
Next, volume of lead:
vol = pi•r^2•h
= pi•(.1)^2•21
= .6594cm^3
Last, subtract:
VolWood =
VolPencil - VolLead
= 10.5504 - .6594
= 9.891
~= 9.9cm^3
The volume of the wood is 9.9cm^3.
I'm tempted to separate this inequality into two parts:
x > 0 and 0 < y + z.
x > 0 includes all of the 3-dimensional solid to the right of the plane x = 0.
If 0 < y + z, then -y < z, or z > -y. z = -y is the equation of a plane that is good for all x (x doesn't matter here). Draw the plane (thru the origin) that satisfies z = -y. Then 0 < y + z denotes the portion of the 3-d solid BELOW the plane z = -y.
Best to draw this in 3-d and to shade the portions of the solid centered at (0, 0, 0) that satisfy both x > 0 and 0 < y + z.
Answer:
49
Step-by-step explanation:
substitute b = - 6 and c = 7 into the expression and evaluate
c - 7b = 7 - (7 × - 6) = 7 - (- 42) = 7 + 42 = 49