B x h = triangle area
triangle area= 160
height= 10
b x 10 (divide it by) 2= b
160 x 2 (divide it by) 10= b
32= b
the height of the this triangle is 32
Answer:
-6k = -8 is an expression
A and C are inequalities
D is arithmetic
Answer:
3 feet.
Step-by-step explanation:
- Base of the triangular pennant = 1.5 feet long.
- Area of the triangular pennant = 2.25 Square feet.
Now, we know that:
Area of a Triangle
Substituting the given values, we have:

Therefore, the height of the pennant is 3 feet.
Answer:
A. see below for a graph
B. f(x, y) = f(0, 15) = 90 is the maximum point
Step-by-step explanation:
A. See below for a graph. The vertices are those defined by the second inequality, since it is completely enclosed by the first inequality: (0, 0), (0, 15), (10, 0)
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B. For f(x, y) = 4x +6y, we have ...
f(0, 0) = 0
f(0, 15) = 6·15 = 90 . . . . . the maximum point
f(10, 0) = 4·10 = 40
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<em>Comment on evaluating the objective function</em>
I find it convenient to draw the line f(x, y) = 0 on the graph and then visually choose the vertex point that will put that line as far as possible from the origin. Here, the objective function is less steep than the feasible region boundary, so vertices toward the top of the graph will maximize the objective function.
Answer:
15.9
Step-by-step explanation:
A, O
Tan=O/A
Tan47=17/x
x=17/tan 47