9)Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The
1 answer:
The dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.
<h3>What is the Pythagoras theorem?</h3>The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
We have:
Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The other end of the leash is tied to the top of an 8-foot pole.
After drawing a right-angle triangle from the above information.
Applying Pythagoras' theorem:
60² = 6² + x²
After solving:
x = 59.69 ≈ 59.7 foot
Thus, the dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.
Learn more about Pythagoras' theorem here:
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Answer:
Step-by-step explanation:
Comparing the triangles in the given questions, the following can be deduced:
5. The scale factor = =
≠
So that;
QR is similar to UT, PR is similar to US, but PQ is NOT similar to TS.
Thus, the triangles are NOT similar.
6. Scale factor = =
=
= 1.5
So that;
QR is similar to UT, PR is similar to US, but PQ is similar to TS.
Thus, the triangles are similar by Side-Side-Side (SSS).
7. Here, an exact scale factor can not be determined. Thus, the triangles are NOT similar.