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1 answer:
Answer:
acute isosceles triangle
vertex angle, y = 44.0 degrees. (smallest angle)
Step-by-step explanation:
If the sides are in the ratio 4:4:3,
two of the sides have equal lengths, so it is an isosceles triangle.
Also, the sum of square of the two shorter sides is greater than the square of the longest side, so it is an acute triangle.
To find the smallest angle, we draw the perpendicular bisector of the base (side length 3) and form two right triangles.
The base angle x is given by the ratio
cos(x) = 1.5/4 = 3/8
Consequently the base angle is arccos(3/8) = 68.0 degrees.
The vertex angle equals twice the complement of 68.0
vertex angle, y = 2 (90-68.0) = 44.0 degrees. (smallest angle)
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Answer:
The grade point average of the student is 49.92.
Step-by-step explanation:
A student earned grades : C, A, B, and A
Corresponding numbers of credit hours : 44, 66, 11, and 66
Assigns quality points to letter grades :
A = 4 , B = 3 , C = 2 , D = 1 , F = 0
The grade point average (GPA):
The grade point average of the student is 49.92.