Answer:
a) 0.125
b) 0.015635
c) 0.00000095367431640625
Step-by-step explanation:
a)
b)
c)
a gardener wants to build a rectangular fence for his prize winning roses. the length of the fence should be at least 6 feet and
1 answer:
Answer:
i. 6 feet by 3 feet
ii. 7 feet by 2 feet
iii. 8 feet by 1 feet
Step-by-step explanation:
From the given question, we have;
length of the rectangular fence, l = 6 feet
perimeter of the rectangular fence = 18 feet
Let the width of the rectangular fence be represented by w.
So that,
Perimeter of a rectangle= 2(length + width)
18 = 2(6 + w)
18 = 12 + 2w
18 - 12 = 2w
6 = 2w
w =
w = 3
The width of the rectangular fence would be 3 feet when the length is 6 feet.
Thus, the possible dimensions of the rectangular fence are:
i. 6 feet by 3 feet
ii. 7 feet by 2 feet
iii. 8 feet by 1 feet
You might be interested in
You have the correct answer. Nice work. If you need to see the steps, then see below
-------------------------------------------------------------------------------
First we need to find the midpoint of H and I
The x coordinates of the two points are -4 and 2. They add to -4+2 = -2 and then cut that in half to get -1
Do the same for the y coordinates: 2+4 = 6 which cuts in half to get 3
So the midpoint of H and I is (-1,3). The perpendicular bisector will go through this midpoint
---------------------
Now we must find the slope of segment HI
H = (-4,2) = (x1,y1)
I = (2,4) = (x2,y2)
m = (y2 - y1)/(x2 - x1)
m = (4 - 2)/(2 - (-4))
m = (4 - 2)/(2 + 4)
m = 2/6
m = 1/3
Flip the fraction to get 1/3 ---> 3/1 = 3
Then flip the sign: +3 ----> -3
So the slope of the perpendicular bisector is -3
-----------------------
Use m = -3 which is the slope we found
and (x,y) = (-1,3), which is the midpoint found earlier
to get the following
y = mx+b
3 = -3*(-1)+b
3 = 3+b
3-3 = 3+b-3
0 = b
b = 0
So if m = -3 and b = 0, then y = mx+b turns into y = -3x+0 and it simplifies to y = -3x
So that confirms you have the right answer. I've also used GeoGebra to help confirm the answer (see attached)
-------------------------------------------------------------------------------
First we need to find the midpoint of H and I
The x coordinates of the two points are -4 and 2. They add to -4+2 = -2 and then cut that in half to get -1
Do the same for the y coordinates: 2+4 = 6 which cuts in half to get 3
So the midpoint of H and I is (-1,3). The perpendicular bisector will go through this midpoint
---------------------
Now we must find the slope of segment HI
H = (-4,2) = (x1,y1)
I = (2,4) = (x2,y2)
m = (y2 - y1)/(x2 - x1)
m = (4 - 2)/(2 - (-4))
m = (4 - 2)/(2 + 4)
m = 2/6
m = 1/3
Flip the fraction to get 1/3 ---> 3/1 = 3
Then flip the sign: +3 ----> -3
So the slope of the perpendicular bisector is -3
-----------------------
Use m = -3 which is the slope we found
and (x,y) = (-1,3), which is the midpoint found earlier
to get the following
y = mx+b
3 = -3*(-1)+b
3 = 3+b
3-3 = 3+b-3
0 = b
b = 0
So if m = -3 and b = 0, then y = mx+b turns into y = -3x+0 and it simplifies to y = -3x
So that confirms you have the right answer. I've also used GeoGebra to help confirm the answer (see attached)
For this case we must do a conversion:
We have to by definition:
1 ounce equals 0.0625 pounds
Making a rule of three we have:
1 oz ------------> 0.0625 lb
67 oz ----------> x
Where "x" represents the number of equivalent pounds:
Thus, 67 ounces equals 4.1875 pounds
Answer:
67 ounces equals 4.1875 pounds