Answer:
the answer is 1/3 pie r2h
Step-by-step explanation:
The volume of a cylinder is given by πr²h where, r is the radius of the cylinder and h is the height of the cylinder.
Also r=d/2 , where d is the diameter of the cylinder.
Therefore if the diameter is halved, the radius also gets halved ,i.e., it becomes r/2. Therefore the new volume = π(r/2)²h
=π(r²/4)h
=(1/4) πr²h
Therefore the volume becomes one-fourth of the initial volume.
Multiply by the conjugate and simplify
3/17 - 5i/17
Hope this helps! :)
The vector AB is not related with the vector CD as k is not the same for each pair of components.
<h3>Are two vectors similar?</h3>
In this question we must prove if the vector AB is a multiple of the vector CD, that is:
![\overrightarrow{AB} = k \cdot \overrightarrow {CD}](https://tex.z-dn.net/?f=%5Coverrightarrow%7BAB%7D%20%3D%20k%20%5Ccdot%20%5Coverrightarrow%20%7BCD%7D)
![\vec B - \vec A = k \cdot [\vec D - \vec C]](https://tex.z-dn.net/?f=%5Cvec%20B%20-%20%5Cvec%20A%20%3D%20k%20%5Ccdot%20%5B%5Cvec%20D%20-%20%5Cvec%20C%5D)
(1, 4) - (2, 3) = k · [(- 2, 2) - (1, 3)]
(- 1, 1) = k · (- 3, - 1)
Hence, the vector AB is not related with the vector CD as k is not the same for each pair of components.
To learn more on vectors: brainly.com/question/13322477
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Answer:
c
Step-by-step explanation:
Answer: her sales last week was $4300.
Step-by-step explanation:
Let x represent her her sales in a week.
Danielle earns a 8.25% commission on everything she sells at the electronics store where she works. This means that the commission she gets if she makes sales of $x is 0.0825x
She also earns a base salary of $675 per week. The expression for the total earnings for a week in which she made sales of $x would be
0.0825x + 675
if her total earnings for last week were $1,029.75, it means that
0.0825x + 675 = 1029.75
0.0825x = 1029.75 - 675
0.0825x = 1029.75 - 675
0.0825x = 354.75
x = 354.75/0.0825
x = $4300