Answer:
ft
Step-by-step explanation:
The perimeter of a rectangle is the sum of the lengths of all its sides.
Perimeter of rectangle= 2(length +breadth)
Given: length= 3¼ ft, breadth= 1½ feet
Perimeter of rectangle
= 2(3¼ +1½)
= 2(3.25 +1.5)
= 2(4.75)
= 9.5 ft
The letter i in mathematics represents √-1. So, keep in mind. i = √-1.
Let's factor √-32 with the i in mind.
√-32 = √(32 * -1) = √32 * √-1 = √32i.
Just remember this formula: √-x = i√x
The total number of possible 7-place license plates are 67600000.
Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible
Let's solve the given problem:
The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.
- Combination of letters: As there are no restrictions given in the question, so the first letter can be any alphabet out of the 26 alphabets (A, B, C, D, ......... Z). So the first place for the letter can be filled in ²⁶C₁ ways that are 26 ways. Also for the second place, as the letters can repeat so it can be filled in ²⁶C₁ ways too which are 26 ways. Therefore, the possible ways in which the place for two letters can be filled is 26 × 26 ways = 676 ways.
- Combination of numbers: As there are no restrictions given in the question so the first number can be any of the numbers out of the 10 numbers (10, 1, 2, 3, ....... 9). So the first number can be filled in ¹⁰C₁ = 10 ways. Similarly, as the numbers can repeat so the 2nd, 3rd, 4th and 5th numbers can be filled in ¹⁰C₁ ways that all the other places can be filled in 10 ways each. Therefore the total number of ways in which the place for 5 numbers can be filled is 10 × 10 × 10 × 10 × 10 ways = 100000 ways.
Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled
= 676 × 100000
= 67600000 ways
Hence the total number of possible 7-place license plates are 67600000.
Know more about "permutations and combinations" here: brainly.com/question/13387529
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Answer:
A = 1,144 ft²
Step-by-step explanation:
The base of the quadrilateral is also x. We know this since there are 2 90° angles, there fore the other 2 angles are also 90°, making the top and bottom sides of the quadrilateral parallel to each other, and equal in measure.
Since the entire base of the yard is 2x, the base of the triangle is x.
The area of the triangle is
A = (1/2)bh where b is the base, and h is the height
For this example...
A = (1/2)x(44) (x is the base, and 44 is the height)
So
A = (1/2)(44)x
A = 22x
The area of the quadrilateral is
A = LW
A = 44x
The total area of the yard is
A = 22x + 44x
A = 66x
We are told that the entire area is 3,462. so
3,462 = 66x now solve for 'x'
3,462/66 = x (divide both sides by 66)
52 = x
So the area of the picnic tables is the area of the triangle, which is
A = 22(52) = 1,144 ft²
