The maximum value of <em>n</em> (<em>A</em> ∩ <em>B</em>) occurs when <em>A</em> ⊂ <em>B</em> (i.e. when <em>A</em> is a subset of <em>B</em>), in which case <em>A</em> ∩ <em>B</em> = <em>A</em>, and so max{<em>n</em> (<em>A</em> ∩ <em>B</em>)} = <em>n</em> (<em>A</em>) = 11.
I think it would be continuous.
Add an attachment?? but remember opposite sides are equal in length and opposite angles are equal in measure
Answer:
Box X
Step-by-step explanation:
In order to find which box holds the most material, you have to find the volume of each box.
The formula for volume of a prism (or box) is [area of the base] * height. So, you can solve the problem as follows:
Step 1) Find the area of the base for box X (7 * 3). You can use any side as your base, as long as the opposite side of the shape is congruent (which in this case, it is)
Step 2) Multiply the area of your base (21) times the distance between the opposite congruent side (6). (21 * 6) = 126
Step 3) By repeating this process with box Y, you will find that the volume of box Y (10*11) = 110, which is less than the volume of box X.
Since the volume of box X is greater than that of box Y, box X can hold more material.
Answer:
Correct answer: Db = 411 .18 ft
Step-by-step explanation:
Given:
α = 27° angle of depression
Dt = 462 ft distance from the top of lighthouse to the boat
Db = ? distance from the base of the lighthouse to the boat
Here we have a right triangle with hypotenuse Dt and one leg Db.
By definition
cos α = Db / Dt ⇒ Db = Dt · cos α
Db = 462 · cos 27° = 462 · 0.89 = 411 .18 ft
Db = 411 .18 ft
God is with you!!!