Answer:
Step-by-step explanation:
-4x+5y≥-5
when y=0,-4x≥-5
x≤5/4
when x=0,5y≥-5
y≥-1
draw a line through (5/4,0) and (0,-1)
put x=0,y=0
0≥-5
therefore origin lies on the graph.
The rule can be “four to the bottom, and four the left”
Answer: 2/3 yard
Step-by-step explanation: First, Kevin cut a plank a yard long. That means that he has a plank thats a yard long. Next, he painted 1/3 of the plank black. Before, 3/3 (basically equals to 1 yard long) of the plank was unpainted. So, the equation will be 3/3 - 1/3 which is equal to 2/3 yard.
We know that
lateral area=3*[area of a equilateral triangle]
Applying the law of sines to calculate the area of a equilateral triangle
Area=(1/2)*a*b*sin C
a=4
b=4
C=60 degrees
area equilateral triangle=0.5*4*4*sin 60-----> 0.5*4*4*√3/2---> 4√3 units²
lateral area=3*[4√3]----> 12√3 units²
the answer is
12√3 units²
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