Answer: 10 and 11, also -11 and -10
Sqrt 100 is well known to be 10
Sqrt 121 is 11
Step-by-step explanation:
Positive Sqrt is monotone increasing
So Sqrt 105 is between sqrt 100 and sqrt 121
Second answer
Sqrt 100 is less well known to also be -10
Negative sqrt is monotone decreasing
Sqrt 121 is also -11
Sqrt 105 is also between -121 and -100
Answer:
The step 4 and 5 describe the errors Stephen made.
Step-by-step explanation:
Given : Stephen evaluated 
. His work is shown below.
To find : Which two statements describe the errors Stephen made?
Solution :
Step 1 -
Step 2 - 
Step 3 - 
Step 4 - 
Error is the step as 4 sign is negative.
So correct step is 
Step 5 - 
Error is the step as there is 4 in place of 3.
So correct step is
The step 4 and 5 describe the errors Stephen made.
Answer:
The correct answer is: 360.
Explanation:
First we can express 120 as follows:
2 * 2 * 2 * 3 * 5 = 120
You can get the above multiples as follows:
120/2 = 60
60/2 =30
30/2 = 15
15/3 = 5 (Since 15 cannot be divisible by 2, so we move to the next number)
5/5 = 1
Take all the terms in the denominator for 120, you would get: 2 * 2 * 2 * 3 * 5 --- (1)
Second we can express 360 as follows:
360/2 = 180
180/2 = 90
90/2 =45
45/3 = 15 (Since 45 cannot be divisible by 2, so we move to the next number)
15/3 = 5
5/5 = 1
Take all the terms in the denominator for 360, you would get: 2 * 2 * 2 * 3 * 3 * 5 --- (2)
Now in (1) and (2) consider the common terms once and multiple that with the remaining:
2*2*2*3*5 = Common between the two
3 = Remaining
Hence (2*2*2*3*5) * (3) = 360 = LCM (answer)
Answer:
D. None of the above; the triangles cannot be proven similar
Step-by-step explanation:
There are no signs that shows the triangles are similar or congruent for given information. So the answer is last option :
D. None of the above; the triangles cannot be proven similar
