The first angle measures 30 degrees, the second angle measures 60 degrees, and the third angle measures 90 degrees.
Let's first represent the first angle as x degrees.
According to the problem statement, the second angle is twice as large as the first. Therefore, the second angle is 2x degrees.
The third angle is three times as large as the first angle. Therefore, the third angle is 3x degrees.
Since the sum of angles in a triangle is always 180 degrees, we can set up the equation: x + 2x + 3x = 180.
Combining like terms, we get 6x = 180.
Dividing both sides of the equation by 6, we get x = 30.
Therefore, the first angle measures 30 degrees, the second angle measures 60 degrees, and the third angle measures 90 degrees.
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1.)$79.20
2.)$66.00
3.)$96.80
A, 3 7/8 C, 13 1/4
B, 5 5/8 D, 6 5/8
Bruno is correct. When going from a larger unit to a smaller unit you need to divide.
Bruno is correct. When going from a smaller unit to a larger unit you need to divide.
Sam is correct. When going from a larger unit to a smaller unit you need to multiply.
Sam is correct. When going from a smaller unit to a larger unit you need to multiply.
We are given number of miles the 3 bike trips they took last month = 45.7, 40.9, and 38 miles.
Sam and Bruno were computing how many kilometers.
Also one kilometer equals 0.621 miles.
From this we can see than 1 kilometer is smaller unit and a mile is a larger unit.
In order to convert number of miles into kilometers, we need to divide each number of mile by 0.621 miles.
We always divide a larger value by a smaller value to get the smaller unit.
Therefore,
• The first (leftmost) digit plus the second digit is the third digit.
• The second digit plus the third digit is the fourth digit.
• The third digit plus the fourth digit is the fifth (rightmost) digit.
• All of the digits are different.
How many different addy numbers are possible?
Step-by-step explanation:
Let the 1st two digits of the numebr be x and y
Given that, 1st digit = x
2nd digit = y
3rd digit = x + y
4th digit = x + 2y
5th digit = 2x + 3y
None of the diigts can be 0 because then x = y, also none of the digits can be more tan 9 which limits the possible first digits as 1,2 and 3
(i) consider x= 1,hence 2x + 3y < 10
2 + 3y < 10
3y < 8
which makes y < , since y cant be 1, it is 2
sub x = 1, y = 2 we get the number as 12358.
(ii) consider x= 2,hence 2x + 3y < 10
4 + 3y < 10
3y < 6
which makes y < 2,then y becomes 1
sub x = 2, y = 1 we get the number as 21347.
(iii) consider x= 3,hence 2x + 3y < 10
6 + 3y < 10
3y < 4
which makes y < , then y becomes 1
sub x = 3, y = 1 we get the number as 31459.
There are 26 unique addy numbers. The possible first digits for an addy number are only 1 through 4. The rest of the digits are deterministically found by the sums of adjacent digits and condition of each digit being unique.
An 'addy' number is a 5-digit number with specific addition rules between adjacent digits. To determine how many possible addy numbers there are, we need to analyze the rules and work out possible combinations.
Firstly, no digit can be zero because all digits must be a part of the sum which means the minimum value should be 1. And, as we move forward, since each number must be unique, it limits our possibilities of choosing values.
Consider the following: If the first digit is 1, the second could be any number from 2 to 9 (8 choices). The resulting third digit would be uniquely determined since it is the sum of the first two digits. This continues through the rest of the number, with each subsequent digit determined by the sum of the previous two digits. The only restriction is that a digit cannot be repeated, and thus the sum of two digits cannot go above 9.
By trying this approach with different starting numbers (1 through 4), we realize that the maximum number of unique addy numbers can be calculated as the sum of the series 8, 7, 6, 5 which is 26.
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