How long would it take a traveler to get from Lake Superior (Minnesota) to the Puget Sound?
1 answer:
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For a better understanding of the solution provided here please go through the diagram in the file that has been attached.
As can be clearly seen from the question and the graph, the area is bounded by a straight line which passes through the origin, the y axis and the horizontal line
.
As we can see from the graph, this is a right triangle. To find the point of intersection of the horizontal line y=6 and the line , we will have to equate the two as:
Therefore,
Thus,
Hence the point of intersection is (12,6) which is depicted on the graph too.
As this is a case of a simple right triangle, the area of the bounded region will thus be:
Let the base be the y=6 line whose length is 12 and let height be the y axis whose length is 6, thus, the area will be:
squared units.
Answer:
Add the two angles: 43° + 47° = 90°.
Step-by-step explanation:
A right triangle has an angle that equals 90°. Complementary angles equal 90°. Therefore, if you add these two angles, you will know whether or not △ABC is a right triangle. Triangle △ABC is broken up into two angles, m∠ABD and m∠DBC. When the measures m∠ABD and m∠DBC are added together, they equal 90°, and thus, form a complementary angle.
Hope this helps,
♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥
