Evaluate the following:
1 answer:
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<h2>Answer:</h2>
The number of possible arrangements is : 120
<h2>Step-by-step explanation:</h2>We know that in order to find the different arrangements which are possible we need to use the method of permutation.
The arrangement of a given word is calculated as the ratio of the factorial of number of letters to the product of factorial of numbers the number of times each letter is repeating.
The word is given to be:
ALASKA
There are a total of 6 letters in the given word
Out of which a letter "A" is repeating 3 times.
Hence, the number of arrangements possible are:
Answer:
Part A : D.)
Part B : Length of the sandbox is 10 feet.
Step-by-step explanation:
Given,
Perimeter = 29 ft
We need to find the equation for the perimeter and also the length of the sandbox.
Solution,
Let the width of the sandbox be 'w'.
Now as per question said;
The length of the sandbox is 1 foot longer than twice the width of the sandbox.
So we can say that;
Length =
Now we know that the perimeter is equal to the sum of twice of length and width.
framing in equation form, we get;
Perimeter =
we have given the perimeter, so on substituting the value, we get;
Hence The equation used to find the width is .
Now we solve for 'w'.
Applying distributive property, we get;
Subtracting both side by '2' we get
Dividing both side by 6 we get;
Width of the sandbox = 4.5 ft
Length of the sandbox =
Hence Length of the sandbox is 10 feet.