The length of the fencing is 62.4 feet.
The width of the fencing is 17.6 feet.
Given,
The measurement of the Christmas garland = 160 feet
The width of the fencing = w
The length of the fencing, l = 4w - 8
We have to find the length and width of the fencing.
Here,
Perimeter can be taken as 160. Because garland will cover the entire fencing.
Perimeter = 2(l + w)
160 = 2(4w - 8 + w)
160 = 2(5w - 8)
160/2 = 5w - 8
80 + 8 = 5w
88/5 = w
width = 17.6 feet
Now,
l = 4w - 8
l = 4 × 17.6 - 8
l = 70.4 - 8
length = 62.4 feet
That is,
The length of the fencing is 62.4 feet.
The width of the fencing is 17.6 feet.
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9514 1404 393
Answer:
Step-by-step explanation:
We can subtract the second equation from 4 times the first:
4(a +b) -(4a +1.5b) = 4(95) -(267.5)
2.5b = 112.5 . . . . . simplify
b = 45 . . . . . . . . . . divide by 2.5
a = 95 -b = 50 . . . find 'a'
The solution is (a, b) = (50, 45).
The side length (in feet) of the square that is Nina's garden is √141. The four sides of the square are the same length, so add to ...
... 4×√141 = 4×11.874 ≈ 47.497
Rounding to the nearest foot, we find Nina needs 47 feet of fencing.
_____
The answer digit in the tenths place is less than 5, so we round down to the next lower foot.
Note that if you actually multiply 11.874 by 4, you get 47.496. When you're working a problem like this, you always want to maintain full calculator precision until the end. The number we actually used in that multiplication was 11.874342087... (my calculator carries 32 digits). The number that gets rounded is 47.4973683482.... Enough digits are shown here to show how close the number is to being rounded to 48.
If you have your calculator set to show only two decimal digits, you will get the wrong answer. Your calculator will show you 47.50, which you would appropriately round to 48.
Well, for method one the first step we have is distribution, then combining like terms, then property of subtraction, then division. For method two, I'm not entirely sure what they did there. I've never done math like that. Sorry I can't help you out all the way.
-TTL
The solution is x> 4 or x ∈(4,∞)
Here equality given is
x - 1.2> 2.8
Rearrange the variable to the left side of the equation
x > 2.8 + 1.2
Calculate the sum
x > 4
Or we can also say
x ∈ (4,∞)
Therefore the range of x is x∈ (4,∞).
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