The volume of the resulting prism is 3.375 times of original volume.
<h3>
What is a dilation or scale factor?</h3>
The factor by which the dimensions of an object are enlarged is called the scale factor.
Let us take the base area of Prizm = a²
Height of the prism = h
Enlarged area = (scale factor)² * previous area
Enlarged area = 1.5²*a² = 2.25a²
Enlarged height = 1.5h
So, enlarged volume = enlarged area* enlarged height
Enlarged volume= 2.25a²*1.5h = 3.375a²h
Enlarged area/previous area = 3.375a²/a² = 3.375
Therefore, the volume of the resulting prism is 3.375 times of original volume.
To get more about dilation visit to:
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Answer:
Step-by-step explanation:
We can prove that a tangent will always be perpendicular to the radius touching it. So, the other angle in the diagram is 
.
Because all the angles of a triangle sum to 
, we have that 
.
We combine like terms on the left side to get 
.
We subtract 
on both sides to get 
.
So, 
and we're done!
Answer:
9/40
Step-by-step explanation:
- Write down the percent divided by 100 like this:
22.5/100
- Multiply both top and bottom by 10 for every number after the decimal point:
- As we have 1 digit after the decimal point, we multiply both numerator and denominator by 10, or, simply shift 1 decimal place to the right. So,
(22.5*10)(100*10)= 225/1000
- Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(225,1000) = 25.
225 ÷ 25/ 1000÷25 = 9/40
Answer:
3x - 6
Step-by-step explanation:
1487.93 should be the correct answer I believe.
