Answer:
E
Step-by-step explanation:
<span>After shuffling a deck of cards in order to know the probability of the king of spades being the top card, you have to first know how many cards are in the deck. If the card is a full deck with no jokers, then the probability is 1/52. This is also the probability that the bottom card is the King of spades.</span>
First we have to find the area of the trapezoid.
Let's separate the trapezoid into 3 shapes. Two triangles, and 1 rectangle.(I included an image of an isosceles trapezoid for reference)
First let's find the area of the triangles. We'll use this equation.a = areab = baseh = heighta = b · h · 0.5a = b · 3 · 0.5
We need to find the base of the triangle. To do this, we'll subtract 6 from 10, which equals 4. 4/2= 2 which is the base of the left and right triangle. Let me know if you're confused by that!!
a = 2 · 3 · 0.5a = 6 · 0.5a = 3The area of both triangles is 3.
Now we need to find the area of the rectangle. We'll use this equation.a = b · ha = 6 · 3a = 18
So the rectangle's area is 18, and both triangle's area is 3.18 + 3 + 3 = 24
Now we need to find the cost. 24 · 4 = 96
The answer is $96.
Hope this helps! :)
