11. The distance between two houses in a neighborhood is 12 meters. There are approximately 4 meters in 13 feet. Which measureme
1 answer:
Answer:
The closest distance between the houses in feet is 39 feet
Step-by-step explanation:
Distance between the houses in metres is 12 metres.
<em>Essentially, the problem is asking us to convert this distance to feet using the scale ratio that we are given.</em>
The scale ratio is
4 meters = 13 feet.
1 meter = x feet
by cross multiplying, we have that x = 13/4 feet
We now know how long 1 meter is in feet using the scale we were given
We can now convert the 12 meters to feet.
1 meter = 13/4 feet
12 meters = x feet
Therefore, the closest distance between the houses in feet is 39 feet
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4. The point Z is the orthocenter of the triangle.
5. The length of GZ is of 9 units.
6. The length of OT is of 9.6 units.
<h3>What is the orthocenter of a triangle?</h3>The orthocenter of a triangle is the point of intersection of the three altitude lines of the triangle.
Hence, from the triangle given in the end of the answer, point Z is the orthocenter of the triangle.
For the midpoints connected through the orthocenter, the orthocenter is the midpoint of these segments, hence:
- The length of segment GZ is obtained as follows: GZ = 0.5 GU = 9 units. -> As z is the midpoint of the segment.
- The length of segment OT is obtained as follows: OT = 2ZT = 2 x 4.8 = 9.6 units.
The complete problem is given by the image at the end of the answer.
More can be learned about the orthocenter of a triangle at brainly.com/question/1597286
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