Answer: 
Step-by-step explanation:
Since you did not attach the diagram and I don't know the dimensions of the collage, I will give you a general explanation of the procedure you need to use in order to solve the exercise:
1. You need to use the formula for calculate the area of a rectangle:
Where "l" is the length and "w" is the width.
2. Using the formula, you must calculate the area of an small picture.
You know that its length is 4.5 inches and its width is 3.5 inches. Therefore, its area is:
3. Calculate the area of the collage using the formula:
4. Finally, divide the area of the collage by the area of an small picture in order to find the number of small pictures that will fit within the collage:
Answer:
The square root of 162 in its simplest form means to get the number 162 inside the radical √ as low as possible.
Here is how to do that! First we write the square root of 162 like this:
√162
The largest perfect square of the factors of 162 is 81. We can therefore convert √162 like this:
√81 × 2
Next, we separate the numbers inside the √ as such:
√81 × √2
√81 is a perfect square that equals 9. We can therefore put 9 outside the radical and get the final answer to square root of 162 in simplest radical form as follows:
9√2
Step-by-step explanation:
Let's try to find some primes that divide this number.
The number is not divisible by 2, because it is odd.
The number is divisible by 3 though, because the sum of its digits is:
So, we can divide the number by 3 and keep going with the factorization:
This number is again divisible by 3, because
We have
This number is no longer divisible by 3. Let's go on looking for primes that divide it: 5 doesn't because the number doesn't end in 0 nor 5. This number is not divisible by 7 or 11 either (just try). It is divisible by 13 though: we have
And 557 is prime, so we're done. This means that the prime factorization of 65169 is
Answer:
41
Step-by-step explanation:
<u>3(14)</u>-1
<u>42-1</u>
41
