Don breaks a 4×7 array into a 2×7 and another array. What is the fact for Don's second array?
1 answer:
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<h3>Given:</h3><h3>Large cone:</h3>
- r= 8 cm
- h= 20 cm
- r= 4 cm
- h= 10cm
- r: radius
- h: height
- The volume of the frustum of the given cone.
- Frustum is a part of a cone formed by cutting off the top by a parallel plane.
Let's solve!
First, let's find the volume of the smaller cone.
Substitute the values according to the
formula.
Now, we can round off to the nearest hundredth.
The value in the thousandths place is smaller than 5 so we won't have to round up.
Next, let's find the volume of the bigger cone.
Substitute the values according to the formula.
Now, we can round off to the nearest hundredth.
The value in thousandths place is smaller than 5 so we won't have to round up.
Now, we can find the volume of the frustum.
We'll have to minus the volume of the smaller cone from the bigger cone.
<u>Hence, the volume of the frustum is 1172.86 cubic centimeters.</u>
Answer:
Among the four choices, is the only one that is not a linear factor of this polynomial function.
Step-by-step explanation:
Let denote some constant. A linear factor of the form
is a factor of a polynomial
if and only if
(that is: replacing all
in the polynomial
with the constant
would give this polynomial a value of
.)
For example, in the second linear factor , the value of the constant is
. Verify that the value of
is indeed
. (In other words, replacing all
in the polynomial
with the constant
should give this polynomial a value of
.)
.
Hence, is indeed a linear factor of polynomial
.
Similarly, it could be verified that and
are also linear factors of this polynomial function.
Rewrite the first linear factor in the form
for some constant
:
, where
.
Calculate the value of .
.
implies that
(which is equivalent to
) isn't a linear factor of this polynomial function.