The answer is
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The formula for a triangular prism is

a = the height of the base
c = the width of the base
h = the height of the actual prism
Let's match our values with the smaller prism to get an idea of what our formula will look like:
a = 1.5
c = 1.5
h = 2

This would equal to

when multiplied together
The question says that these prisms are similar, which means that the ratios between the sides of both of the prisms are the same.
So, the height and base width on the smaller one are the same, so for the bigger one they will be the same, 6. Now for the height. Let's first find our ratio between the lengths. to get from 1.5 to 6 we multiply by 4. Since all the ratios are the same, we can multiply 2 by 4 to find our height for our bigger prism which will be 8. Let's go ahead and get our variables for our bigger prism since we have all of our needed information:
a = 6
c = 6
h = 8



and our answer:

Thank you for the question!! I hope this helped! :) Have an amazing day :D
(y2-y1)/(x2-x1)
(19-12)/(6-3) = 7/3
The answer is C
Answer:
c= x/sin 30
or
c = x / cos 60
Step-by-step explanation:
sin theta = opposite side / hypotenuse
sin 30 = x /c
Multiply each side by c
c sin 30 = x/c *c
c sin 30 = x
Divide each side by sin 30
c sin 30/sin 30 = x/ sin 30
c= x/sin 30
Another valid expression would be
cos theta = adjacent side / hypotenuse
cos 60 = x/c
Multiply by c
c cos 60 = x/c *c
c cos 60 =x
Divide by cos 60
c cos 60/ cos 60 = x / cos 60
c = x / cos 60
I think the answer is 16.
Answer:
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