Answer:
Length: 84 ft
Width: 56 ft
Step-by-step explanation:
Let's define some variables first.
Call the length l and width w.
We know that w = 2/3l. Therefore, we can express w in terms of l with this expression.
Now, let's set up an equation. The flower garden is rectangular, and 280 feet of fencing are used to enclose the garden. This represents perimeter.
Remember the formula for perimeter of a rectangle: 2l + 2w
Let's substitute 2/3l for w:
2l + 2*2/3l = P
2l + 4/3l = 280
2 4/3l = 280
10/3l = 280
l = 84
Now, we know that the length is equal to 84 feet. We can multiply 84 feet by 2/3 to find the width.
84*2/3 = 56
Length: 84 ft
Width: 56 ft
Let's plug these values into the formula and see if they give us the correct perimeter:
2l + 2w = P
2*84 + 2*56 = P
168 + 112
= 280 feet
These are the correct dimensions!
Hope this helps! You can reach out to me if you have further questions or concerns! :)
An easy way is since there are 2 big numbers and 1 small, add the small to the larger
let's add it to the third number
1,000+2,832,783,920=2,832,784,920
now add 20,029,293,848,493 to 2,832,784,920 (use calculator)
basically you add up the1's place with the 1's place, 10's place with the 10's place and so on
1's=3+0=3
10's=9+2=11 or 1 and move 1 up to next place
100's=4+9+1=14 or 4 and move 1 up to next place
1,000's= 8+4+1=13 or 3 and move 1 up to next place
10,000's= 4+8+1=13 or 3 and move 1 up to next place
100,000's= 8+7+1=16 or 6 and move 1 up to next place
1,000,000's= 3+2+1=6
10,000,000= 9+3=12 or 2 and move 1 up to next place
100,000,000=2+8+1=11 or 1 and move 1 up to next place
1,000,000,000= 9+2+1=12 or 2 and move 1 up to next place
therer are no more number on the smaller number so just add the bigger ones at the top with the added 1 so
20,032,126,633,413
Since the 100 degree angle is the same as the m + 20 degree angle, you only have to do: 100-20=80
So the answer is 80
Answer: So if you do 50 dollars - 70% you get, 15 U.S. dollars
Hope this helps :)
The standard form of hyperbola is:
(x-h)²/a²-(y-k)²/b²=1
center:(4,5)
Length of the horizontal transverse axis: 8-5=3=2a
thus
a=3/2
a²=9/4
b=2
b²=4
Hence the equation will be:
(x-4)²/(9/4)-(y-5)²/4=1
simplifying this we get:
[4(x-4)²]/9-(y-5)²/4=1
