Answer:
<em>Scale factor: 2</em>
<em>PR = 14</em>
<em>Perimeter = 34</em>
Step-by-step explanation:
<u>Similar Triangles</u>
Similar triangles are those who have their corresponding side lengths proportional, i.e. the ratio of the corresponding sides is equal.
The figure shows similar triangles ABC and PQR. We can also see corresponding sides BC and QR have lengths 6 and 12 respectively.
The scale factor is
The rest of the sides can be calculated by using the per-image triangle ABC side lengths and the new-found scale factor. Thus:
PR = AC*2 = 7*2 = 14
PR = 14
PQ = AB*2 = 4*2 = 8
The perimeter of the triangle PRQ is the sum of its side lengths:
P = 12 + 14 + 8 = 34
Answers:
Scale factor: 2
PR = 14
Perimeter = 34
Answer:
Option D 3/16
Step-by-step explanation:
Carol is cross-country skiing.
With the help of the given table we have to calculate the rate of change.
If we draw a graph for distance traveled on y-axis and tins at x-axis we find two points, ( 2, 1/6) and (3, 17/48).
Then slope of the line connecting these points will be the rate of change.
Rate of change = Slope =
=
=
=
Option D 3/16 is the answer.
Answer:
The temperature of the chemical solution after t hours is
Step-by-step explanation:
Given that the initial temperature of the chemical solution, .
The rate of decreasing temperature,
So, after t hours, the temperature of the chemical solution will decrease by .
So, the temperature of the chemical solution after t hours,
Hence, the temperature of the chemical solution after t hours is .