Which graph shows the solution set of the inequality 2.9(x+8) <26.1?
2 answers:
9514 1404 393
Answer:
D
Step-by-step explanation:
The inequality symbol is < (not ≤), which means the end point of the graph will be an open circle.
After dividing by the coefficient of x, you have an inequality of the form ...
x +( ) < ( )
which means <em>the solution will be left of the (open circle) end point</em> of the graph. Only one graph has that form.
__
If you actually work through the numbers, you get ...
x +8 < 9 . . . . . . divide both sides by 2.9
x < 1 . . . . . . . . . subtract 8 from both sides
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For this case we have by definition that the area of a parallelogram is given by:
Where:
b: It's the base
h: It's the height
According to the data we have:
Substituting in the formula:
The area of the parallelogram is
Answer:
Answer:
The height of the pole is 167 m
Step-by-step explanation:
The given parameters are;
Increase in the length of the shadow = 90 m
Initial angle of elevation of the Sun = 58°
Final angle of elevation of the Sun = 36°
We have a triangle formed by the change in the length of the shadow and the rays from the two angle of elevation to the top of the pole giving an angle 22° opposite to the increase in the length of the shadow
We have by sin rule;
90/(sin (22°) = (Initial ray from the top of the pole to the end of the shadow's length)/(sin(122°)
Let the initial ray from the top of the pole to the end of the shadow's length = l₁
90/(sin (22°) = l₁/(sin(122°)
l₁ = 90/(sin (22°) ×(sin(122°) = 283.3 m
Therefore;
The height of the pole = 283.3 m × sin(36°) = 166.52 m
The height of the pole= 167 m to three significant figures.
