Answer:
Step-by-step explanation:
Given
diameter of pie is
radius
If child divides pie into 12 equal parts then each part subtends an angle of
at the center
and crust length of single piece is
For two slice length is
Thus the total length of crust eaten is
Answer:
is linearly dependent set.
Step-by-step explanation:
Given: is a linearly dependent set in set of real numbers R
To show: the set is linearly dependent.
Solution:
If is a set of linearly dependent vectors then there exists atleast one
such that
Consider
A linear transformation T: U→V satisfies the following properties:
1.
2.
Here, ∈ U
As T is a linear transformation,
As is a linearly dependent set,
for some
So, for some
Therefore, set is linearly dependent.
Option D statement "A 12-gallon tank would cost $47.40 to fill completely" is true.
<h3>What is a domain?</h3>The whole of the independent variable's possible values makes up the domain of a function.
For the given data we need to find which of the given statements are true.
From option A:
The domain is {4, 8, 11, 15}.
The domain is all possible x values so this would be 0 to infinity as you can pay for more gallons not just to that certain set of numbers.
Therefore, option A is False.
From option B:
An 11-gallon tank would cost $44.00 to fill completely.
From the given table we can see that 11-gallon tank costs $43.45.
Therefore, option B is False.
From option C:
A 9.1-gallon fill-up would cost $35.49.
To find 9.1 gallons we need to find the cost of 1-gallon.
That is, 15.80/4 = $3.95 (Given in the table)
Now the cost of 9.1 gallon tank is $3.95 x 9.1 = $35.95 not $35.49
Therefore, option C is False.
From option D:
A 12-gallon tank would cost $47.40 to fill completely.
We found that 1 gallon is $3.95.
$3.95 x 12 = $47.40
Therefore, option D is True.
Hence, from the given statements option D is True.
To learn more about data visit:
brainly.com/question/12576014.
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