Answer:
6
Step-by-step explanation:
So, to start answering this, lets recall the formula for a rectangles volume:
This formula is :
V=h*w*l
Lets plug in what we know, and solve for the missing variable.
We know that height(h) is 7.
We know that width(w) is 9.
We know that volume(V) is 378.
We are missing length(l)
So:
378=7*9*l
To find length(l), we must iscolate it.
To do this, we must get rid of the 7 and 9.
So lets start by dividing 378 by 9:
378/9=7*9/9*l
=
42=7*l
Now lets do the same thing with the 7 to iscolate l:
42/7=7/7*l
=
6=l
So our missing length(l) is 6.
Answer:
l = 6
Hope this helps!
From calculations, we can say that the given tiles will not fit together perfectly.
<h3>How to find the sum of interior angles of a Polygon?</h3>
If the tiles join perfectly at a point, sum of all angles around the joining point should be 360°.
Expression for the measure of the interior angle of a polygon,
Interior angle of a polygon = [(n - 2) * 180]/n
Interior angle of a pentagon = [(5 - 2) * 180]/5 = 108°
Interior angle of a hexagon = [(6 - 2) * 180]/6 = 120°
Interior angle of an octagon = [(8 - 2) * 180]/8 = 135°
To prove that the given tiles fit together perfectly → Sum of all the angles around the common point should be 360°
Sum of all interior angles = 108° + 120° + 135° = 363°
Therefore, given tiles will not fit together perfectly.
Read more about Interior angles of a Polygon at; brainly.com/question/224658
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Answer:
B
Step-by-step explanation:
The formula for volume of cylinder is given below:
volume of cylinder = 
Where r is the radius (here, it is given as 3)
h is the height, the perpendicular distance from base to top (here, it is 4 NOT 5 since 5 is the 'slant height')
Plugging in the available info , we get our answer:

B is the correct answer
Answer:
a(n) = 20*2.5^(n - 1)
Step-by-step explanation:
Note that 50 is 2.5 times 20, and that 125 is 2.5 times 50. Thus the common factor is 2.5. The formula for the nth term is
a(n) = a(1)*r^(n - 1) => a(n) = 20*2.5^(n - 1)