Answer:
Perimeter=22 m
Step-by-step explanation:
Perimeter Of A Figure
Perimeter is the distance measured around a shape. If the figure is line-shaped, the perimeter can be obtained by adding the individual lengths of each segment around the shape.
The figure shown is surrounded by line segments. We only have to add them all to find the perimeter. But we don't need each individual length to do so. We may notice the following (given all angles are right):
The sum of HG+FE+DC equals AB. So the upper and lower lengths are twice AB, or equivalently: 2*7 1/2 m =15 m
It can also be noted that AH+GF=BC+DE=2 1/4+1 1/4 = 3 1/2 m. It means that the two lateral lengths are twice this value: 2* 3 1/2 = 7 m
Thus, the total perimeter is 15 m + 7 m = 22 m
Possible procedures:
1). peanut, peanut
2). peanut, cashew
3). peanut, pecan
4). cashew, peanut
5). cashew, cashew
6). cashew, pecan
7). pecan, peanut
8). pecan, cashew
9). pecan, pecan.
Nine (9) possible procedures.
But ...
(2) and (4) produce the same final result.
(3) and (7) produce the same final result.
(6) and (8) produce the same final result.
So there are only <em><u>six (6)</u></em> possible different outcomes.
Area of a circle = pi x r^2
200.96 = pi x r^2
200.96 = 3.14 x r^2
r^2 = 64
r = 8 inches
Hope this helps!! :)
y =x+10
y =6x+30
substitute x+10 into the 2nd equation anywhere you see y
x+10 = 6x+30
subtract x from each side
x-x+10 = 6x-x+30
10 = 5x+30
subtract 30 from each side
10-30=5x+30-30
-20 = 5x
divide by 5 on each side
-20/5 =5x/5
-4=x
now solve for y
y=x+10
y = -4 +10
y=6
Answer: x=-4
y=6
or (-4,6)
3. y = -3x-6
6x+5y=-30
6x+5(-3x-6) =-30
5x-15x-30=-30
-20x-30=-30
-20x=0
x=0
y = -3x-6
y=-6
Answer: 2m/s
Step-by-step explanation:
The boat goes twice as fast down the river, which means it goes twice as slow up the river.
Because the river flows at 2m/s, I think the answer is 2m/s
