Answer:
Option (2)
Step-by-step explanation:
Volume of a prism A (preimage) = 27 cubic units
Factor of dilation of the sides of this prism (image) = 
Volume scale factor of these prisms = 
Since, Volume scale factor = (Scale factor of dilation of the sides)³
= 
= 
Now from the formula of volume scale factor,


Volume of the image prism =
= 3 cubic units
Therefore, Option (2) will be the answer.
<span>0.176 = 176⁄1000</span>
<span>Simplify 176⁄1000 = 22⁄125</span><span> </span>
Problem 5
Apply the Law of Sines
s/sin(S) = r/sin(R)
s/sin(78) = 10/sin(48)
s = sin(78)*10/sin(48)
s = 13.162274
<h3>Answer: 13.162274 approximately</h3>
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Problem 6
Use the Law of Sines here as well.
x/sin(X) = y/sin(Y)
x/sin(53) = 6/sin(22)
x = sin(53)*6/sin(22)
x = 12.791588
<h3>Answer: 12.791588 approximately</h3>
A fraction is something like 1/2 which is the same as half of one or 1/4 which is a fourth of one
Answer:
Step-by-step explanation:
Find the value of the left hand side (LHS)
LHS = 1/4 // 5/6
LHS = 1/4 * 6/5
LHS = 6/20
LHS = 3/10
Now what will make 3/10 on the right?
B: 1/4 * 6/5 = 6/20 = 3/10
a = 4
b = 6
c = 5