Step 1
<u>First situation</u>
when a ladder is leaning against a wall
Let
x-------> the distance of the bottom of the ladder from the wall
L-------> the length of the ladder
<u>Find the length of the ladder</u>
Applying the Pythagorean Theorem
------> equation 
Step 2
<u>Second situation</u>
when the ladder will be lying flat on the ground
<u>Find the length of the ladder</u>
In this situation the length of the ladder is equal to
square both sides
------> equation 
Step 3
equate equation and equation
therefore
<u>the answer is</u>
the length of the ladder is 
see the attached figure to better understand the problem
Answer: 
Step-by-step explanation:
Since, The LCM of numbers given numbers ,
, 
and 
is 
.
Thus, the number that gives 1 as reminder and is the multiple of 7 is 
Where n is any positive integer,
Since, For 
,
The number is, 
Which is divisible by 
.
Thus, the required number is 301.
Note : For n = 1, 2 3 and 4, numbers are 61, 121, 181 and 241
But they are not the multiple of 7.
Answer:240
Step-by-step explanation:
40 pencils in one minute
2 hours=120 minutes
40*120=480
480/2=240 boxes
Answer:
c
Step-by-step explanation:
absolute values are just the distance from zero so the absolute value of 42 and -42 are both the same, 42.
30/36 or 5/6 because to divide by a fraction, you multiply by its reciprocal.To find the reciprocal of a fraction you can simply just flip the fraction so 6 / (5/6) is equal to 6*(5/6).This is equal to (6*5)/(6*6) or 30/36 or 5/6.
