Chris spent half of his money on a pair of headphones. Then he spends half of his remaining money of recordable CDs. Finally, he
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Answer:
The dimensions of the two different rectangular regions are;
1st Arrangement:
W = 4 yards and L = 5 yards or W = 5 yards and L = 4 yards
2nd Arrangement:
W = 2 yards and L = 10 yards or W = 10 yards and L = 2 yards
The perimeter of the two different rectangular regions are;
1st Arrangement:
P₁ = 18 yards
2nd Arrangement:
P₂ = 24 yards
Step-by-step explanation:
Bella is putting down patches of sod to start a new lawn.
She has 20 square yards of sod.
We are asked to provide the dimensions of two different rectangular regions that she can cover with the sod.
Recall that a rectangle has an area given by
Area = W*L
Where W is the width of the rectangle and and L is the length of the rectangle.
Since Bella has 20 square yards of sod,
20 = W*L
There are more than two such possible rectangular arrangements.
Out of them, two different possible arrangements are;
1st Arrangement:
20 = (4)*(5) = (5)*(4)
Width is 4 yards and length is 5 yards or width is 5 yards and length is 4 yards
2nd Arrangement:
20 = (2)*(10) = (10)*(2)
Width is 2 yards and length is 10 yards or width is 10 yards and length is 2 yards
Therefore, the dimensions of two different rectangular regions are;
1st Arrangement:
W = 4 yards and L = 5 yards or W = 5 yards and L = 4 yards
2nd Arrangement:
W = 2 yards and L = 10 yards or W = 10 yards and L = 2 yards
What is the perimeter of each region?
The perimeter of a rectangular shape is given by
P = 2(W + L)
Where W is the width of the rectangle and and L is the length of the rectangle.
The perimeter of the 1st arrangement is
P₁ = 2(4 + 5)
P₁ = 2(9)
P₁ = 18 yards
The perimeter of the 2nd arrangement is
P₂ = 2(2 + 10)
P₂ = 2(12)
P₂ = 24 yards
So the perimeter of the 1st arrangement is 18 yards and the perimeter of the 2nd arrangement is 24 yards.
Note:
Another possible arrangement is,
20 = (1)*(20) = (20)*(1)
Width is 1 yard and length is 20 yards or width is 20 yards and length is 1 yard.
Answer:
30,000,000
Step-by-step explanation:
You are given the number 8,531,980,112.45.
Look at attached place value chart.
If we go to the left from decimal point, then we have
- ones;
- tens;
- hundreds;
- thousands;
- ten thousands;
- hundred thousands;
- millions;
- ten millions;
- and so on.
Digit 3 in the number 8,5 <u>3</u> 1,980,112.45 is on ten millions position, so the value of this digit is 30,000,000
The fraction which produce an equivalent fraction with a rational denominator is
Explanation:
The equation is
To find the rational denominator, let us take conjugate of the denominator and multiply the conjugate with both numerator and denominator.
Rewriting the equation, we have,
Multiplying, we get,
Simplifying the denominator, we get,
Subtracting, the values of denominator,
Dividing the numerator and denominator,
Hence, the denominator has become a rational denominator.
Thus, the fraction which produce an equivalent fraction with a rational denominator is