Answer:
the answer is 3×3×5×5×17=3825 use prime factorization
Let x represent the number of type A table and y represent the number of type B tables.
Minimize: C = 265x + 100y
Subject to: x + y ≤ 40
25x + 13y ≥ 760
x ≥ 1, y ≥ 1
From, the graph the corner points are (20, 20), (39, 1), (30, 1)
For (20, 20): C = 265(20) + 100(20) = $7,300
For (39, 1): C = 265(39) + 100 = $10,435
For (30, 1): C = 265(30) + 100 = $8,050
Therefore, for minimum cost, 20 of type A and 20 of type B should be ordered.
Option D:
Right triangle
Solution:
Let us first define obtuse, acute right triangle and supplementary.
<u>Obtuse angled triangle:</u>
If any one of the angle in the triangle is more than 90°, then the triangle is an obtuse angled triangle.
<u>Acute angled triangle:</u>
If all the angles of the triangle are less than 90°, then the triangle is an acute angled triangle.
<u>Right angled triangle:</u>
If any one of the angle in the triangle is exactly 90°, then the triangle is a right angled triangle.
<u>Supplementary:</u>
If sum of the angles is 180°, then the angles are supplementary angles.
But this is not a kind of triangle.
In given triangle one of the angle is 90°.
Therefore, this is a kind of right triangle.
Option D is the correct answer.
