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richdakid26
30.07.2021 •
Mathematics
Plz help me find zero x on the triangle and show work thanks
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Ответ:
x= 30 degrees
Step-by-step explanation:
This is an isosceles triangle as indicates by the lines on the sides.
Since the sides lengths are equal, the base angles are equal
x= 30 degrees
Ответ:
a) 3,515,200 license plates
b) 78,960,960 license plates
Step-by-step explanation:
a) The letters appear together and the numbers appear together too, taking the 3 letters as one big letter, and the 2 numbers as one digit, they can each occupy either of the 2 spots; at the start of at the end.
Then, ten digits can each take a spot of the 2 digits number and 26 alphabets can each take a spot of the three letters.
2 × [26 × 26 × 26] × [10 × 10] = 3,515,200
b) Since the letters will appear together as a group, we can work with them as one big letter.
- If there are 3 digits, then there are 4 spots for where the big letter goes (no matter if there are 1, 2 or 3 letters).
- If there are 2 digits, then there are 3 spots for where the big letter goes (no matter if there are 1, 2 or 3 letters).
- If there is only 1 digit, then there are 2 spots for where the big letter goes (no matter if there are 1, 2 or 3 letters).
Thus, the answer is:
(number of license plates with one digit) + (number of license plates with two digits) + (number of license plates with three digits)
Note that there are 10 numbers (0 to 9) that can fill the 1 digit, 2 digits and 3 digits spots each.
And there are 26 alphabets that can each fill out the 1 letter, 2 letters and 3 letters spots too.
[2 × 10 × (26 + 26² + 26³)] + [3 × 10² × (26 + 26² + 26³)] + [4 × 10³ × (26 + 26² + 26³)] = 78960960
Hope this Helps!!!