Answer:
Total number of required ways = 12 × 51!
Step-by-step explanation:
Number of total cards in the deck = 52
Number of face cards in the deck = 12
Now, we need to find the number of ways such that the first card is always a face card
Now, first card is face card so number of cards left to be arranged = 52 - 1 = 51
Number of ways to arrange 51 cards = 51!
Also, Number of face cards = 12
So, Total number of required ways = 12 × 51!
3h-12
h=4
4 times 3 =12
4(10-h)
4(10-4)
10-4=6
4(6)
24
the answer is 1
Answer:
The choose a. – 2
Step-by-step explanation:
![f( - 8) = \frac{ - 8}{4} = - 2](https://tex.z-dn.net/?f=f%28%20-%208%29%20%3D%20%20%5Cfrac%7B%20-%208%7D%7B4%7D%20%20%3D%20%20-%202)
Answer:
Step-by-step explanation:
area of base=1/2×5×6=15 in²
height of pyramid=9in
volume of pyramid=1/3×15×9=45 in³
Answer:
4 units
Step-by-step explanation:
Let x represent the length of the square
Area of the square = x^2
So, the dimension of the rectangle formed is:
length = x + 2
width = x - 2
Area of the rectangle = ( x + 2 ) * ( x - 2 )
solve the parenthesis
x^2 - 2x + 2x - 4
Area of the rectangle = x^2 - 4
subtract this area from that of the square
x^2 - ( x^2 - 4 )
=x^2 - x^2 + 4
= 4 units