Answer:
2, 12
Step-by-step explanation:
LCM = Least common multiple
LCM of 2 and 12 is 12
2 4 6 8 10 12
12
LCM of 6 and 8 is 24
6 12 18 24
8 16 24
LCM of 3 and 8 is 24
3 6 9 12 15 18 21 24
24
LCM of 12 and 24 is 24
12 24
24
The answer is D.
|-4| < 4
4 < 4
|-1| < 0
1 < 0
|-6| = -6
6 = -6
|-14| > 10
14 > 10
1. You convert all the numbers into decimals.
a. For 8 1/9 you multiply 8x9 and add the numerator which in this case is one, so the equation would be 8x9=72 then 72+1= 73
b. For 81/10 I used a calculator for accuracy and I just divided 81 by 10 because the fraction line can also be used as a division sign. For this I got 8.1
2. Now I looked at all the numbers I had including the fractions I converted to decimals... 8.115, 8.55, 73, and 8.1
3. Lastly, I put the numbers in order from least to greatest: 8.1, 8.115, 8.55, and 73
4. In order to figure out which one is the smallest and largest, I just added zeros on the end of the numbers so they would all be the same: 8.1-->8.100, 8.115 I kept the same because it already had 3 decimal places, 8.55--> 8.550, and 73--> 73.000
5. Then i could tell which number was the largest by the decimal place numbers.
**Hope this was helpful... It's kind of hard to explain online but hopefully you have a better understanding of how to do it!**
Answer:
The length of each side of the city is 250b
Step-by-step explanation:
Given
--- tree distance from north gate
--- movement from south gate
--- movement in west direction from (b)
See attachment for illustration
Required
Find x
To do this, we have:
--- similar triangles
So, we have the following equivalent ratios
Where:
Substitute these in the above equation
Express as fraction
Cross multiply
Open bracket
Rewrite as:
Expand
Factorize
Factor out x + 284
Split
Solve for x
x can't be negative;
So:
Answer:
KI=11.25 and HI=6.75
Step-by-step explanation:
Consider the below figure attached with this question.
According to Pythagoras Theorem:
Use Pythagoras in triangle HKL
Taking square root on both sides.
Let length of HI be x.
LI = 12+x
Use Pythagoras theorem in ΔKLI,
Use Pythagoras theorem in ΔHKI,
From (1) and (2) we get
Hence, the measure of HI is 6.75 units.
Substitute x=6.75 in equation (2).
Taking square root on both sides.
Hence, the measure of KI is 11.25 units.
