Answer: 7800
Step-by-step explanation:
As English alphabet has 26 letters.
So , Choices for First character in the code = 26
The choices for digits = 10 (From 0 to 9)
So , choices for second character = 10 (Middle two characters must be numbers)
choices for third character = 10 (Middle two characters must be numbers)
Choices for last character = 3 (the last character must be a 1, 3, or 7)
By Fundamental principle of counting , the total number of four character codes can be generated =
(Choices for First character)x (choices for digits) x(choices for digits) x(Choices for last character)
= (26) (10)(10)(3) =7800
Hence, the total number of character codes can be generated= 7800
Answer:
2·(a^2 + b^2) = (a + b)^2
2·a^2 + 2·b^2 = a^2 + 2·a·b + b^2
a^2 + b^2 = 2·a·b
a^2 - 2·a·b + b^2 = 0
(a - b)^2 = 0
a = b
Answer: 52 square cm
Step-by-step explanation:
The given surface area formula of a rectangular prism,
S = 2 wl + 2 lh + 2 hw
Where is the length, w is the width and h is the height of the prism,
Here, length, l = 2 cm,
Width, w = 3 cm
And, Height, h = 4 cm
Thus,The required surface area of the prism,
S = 2 × 3 × 2 + 2 × 2 × 4 + 2 × 4 × 3
S = 12 + 16 + 24 = 52 square cm.
Answer:
radius = 15ft
diameter = 30ft
Step-by-step explanation:
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