Answer:
D = 90°
E = 147°
F = 33°
Step-by-step explanation:
E:
E is 147°, because it is vertical to the angle 147°
F:
F is 33°, because 147* is its supplementary angle, or angles that add up to 180°
D:
D is worth 90°, because its supplement is worth 90°
-Chetan K
Answer:
1250 m²
Step-by-step explanation:
Let x and y denote the sides of the rectangular research plot.
Thus, area is;
A = xy
Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.
Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;
2x + y = 100
Thus, y = 100 - 2x
Since A = xy
We have; A = x(100 - 2x)
A = 100x - 2x²
At maximum area, dA/dx = 0.thus;
dA/dx = 100 - 4x
-4x + 100 = 0
4x = 100
x = 100/4
x = 25
Let's confirm if it is maximum from d²A/dx²
d²A/dx² = -4. This is less than 0 and thus it's maximum.
Let's plug in 25 for x in the area equation;
A_max = 25(100 - 2(25))
A_max = 1250 m²
Answer:
A number plus 5 is greater then or equal to 10.
Answer:
The correct answer is A.

Step-by-step explanation:
Method 1
You just have to plot each point on the graph.
The one that falls within the solution region is the correct choice.
From the graph,
falls within the solution region.
See graph
Method 2
If you substitute the points into the inequalities, the only point that will satisfy both inequalities simultaneously is A.
The first inequality is

If we substitute
, we get;


This statement is true.
The second inequality is

If we substitute
, we get;

This gives,

This statement is also true.