Convert 10pi/9 to degree measure.
1 answer:
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<em>Complete Question:</em>
<em>You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year. </em>
<em>The initial heights are shown. </em>
Write a system of linear equations that represents this situation.
Answer:
Step-by-step explanation:
Given
Spruce Tree (s):
(yearly)
Hemlock Tree (h):
(yearly)
Required
Represent as system of linear equations
Let the number of years be x.
In both cases, the equation can be formed using:
For Spruce Tree (s):
For Hemlock Tree (h):
<em>Hence, the equations are </em><em> and </em>
<em></em>
Answer:
8 and 12
Step-by-step explanation:
Sides on one side of the angle bisector are proportional to those on the other side. In the attached figure, that means
AC/AB = CD/BD = 2/3
The perimeter is the sum of the side lengths, so is ...
25 = AB + BC + AC
25 = AB + 5 + (2/3)AB . . . . . . substituting AC = 2/3·AB. BC = 2+3 = 5.
20 = 5/3·AB
12 = AB
AC = 2/3·12 = 8
_____
<em>Alternate solution</em>
The sum of ratio units is 2+3 = 5, so each one must stand for 25/5 = 5 units of length.
That is, the total of lengths on one side of the angle bisector (AC+CD) is 2·5 = 10 units, and the total of lengths on the other side (AB+BD) is 3·5 = 15 units. Since 2 of the 10 units are in the segment being divided (CD), the other 8 must be in that side of the triangle (AC).
Likewise, 3 of the 15 units are in the segment being divided (BD), so the other 12 units are in that side of the triangle (AB).
The remaining sides of the triangle are AB=12 and AC=8.
