Separating variables, we have
Integrate both sides.
Given that 
, we find
Then the particular solution is
and because , we take the negative solution to accommodate this initial value.
Dilation always preserves angle measures, the given statement best explains why the dilation of a triangle produces a similar triangle
<u>Step-by-step explanation:</u>
The dilation (similarity transformations) varies the size of the figure. This requires a midpoint and a scale factor k. The k value finds whether it is an increase or decrease.
- If | k |> 1, the dilation is an extension.
- If | k | <1 it is reduction.
The absolute value of k determines the size of the new image relative to the size of the original image. If the k is positive, the new and original image is on the same side of the center.
If k is negative, they are on both sides of the center. Its own image is always at the center of development. This support angle size, point equality, and collinearity. Does not maintain distance. In simple, dilation always give similar figures.
Answer:
<h2>
62.832 mi.²</h2><h2>
</h2>
Step-by-step explanation:
surface area = 2πrh + 2πr²
where r = 2 miles radius
h = 3 miles
<u>plugin values into the formula</u>
surface area = 2πrh + 2πr²
= 2π (2) 3 + 2π (2)²
= 37.699 + 25.133
= 62.832 mi.²
The answer would be 5 like they said
