In math, an isometry is a congruent transformation in which the distance (or length) and the angle is preserved or remains the same even after the transformation.
The transformation can be translation, rotation, reflection, etc.
Let us not use this definition of isometry to answer our question, one at a time.
(I) In here, as we can see the distances 10 and 5 and the angle 43 degrees has been preserved. So, <u>this is an isometry.</u>
(II) In here, distances have been halved, so this is<u> not an isometry</u>, even though the angles have been preserved.
(III) In here, the corresponding distances and the angles have been preserved. So, <u>this is an isometry.</u>
The population in the year 2020 is 4628
<h3>How to determine the population?</h3>
The given parameters are:
Initial, a = 12910
Rate, r = 5%
Since the population decreases, then we make use of an exponential decay function.
This is represented as:
f(n) = a * (1 - r)^n
So, we have:
f(n) = 12910 * (1 - 5%)^n
Evaluate the difference
f(n) = 12910 * 0.95^n
2020 is 20 years from 2000.
So, we have:
f(20) = 12910 * 0.95^20
Evaluate
f(20) = 4628
Hence, the population in the year 2020 is 4628
Read more about exponential functions at:
brainly.com/question/14355665
#SPJ1
Answer:
Step-by-step explanation:
0.5bh = 36
0.5(5b)(5h) = 25(0.5bh) = 25 × 36 = 900 sq cm
Football State University = $21.42 for one game
University of Football = $25 for one game
Gridiron University = $29.16 for one game
Sports University = $31.25 for one game
Out of these, Football State University gives the best deal on football tickets.
Answer:
Step-by-step explanation:
Using the problem statement as the basis for the equation, we can write ...
h -102 = 331
__
Using the diagram as the basis for the equation, we could write it as ...
h = 331 +102
__
The original height of the helicopter was 433 m.
