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.
Answer:
6 square units
Step-by-step explanation:
Given shape is of a trapezoid:

Area of shape = area of square + area of triangle

This is the solution to your question.
They will need to raise at least 67 tickets because if they sold 66 tickets (15x66) they will only get $990, but if they get 67 tickets (15x67) they'll raise $1005. The easiest way to get the answer fast is to do 1,000 divided by 15 and then see if that number equals 1000, or if you need to add one more ticket to make it at least 1,000.
Answer:
height for the building = 551.8 ft
Step-by-step explanation:
The info given describes the shape of a right triangle.
Thus:
Reference angle = Angle of elevation = 23°
Opposite side = height of the building = ?
Adjacent side = 1,300 ft
Apply trigonometric function, TOA:
Tan 23 = Opp/Adj
Tan 23 = Opp/1,300
1,300 × Tan 23 = Opp
551.817261 = Opp
Opp ≈ 551.8 ft
height for the building = 551.8 ft