Answer:
x = ~8.9
Step-by-step explanation:
a^2 + b^2 = c^2
c is the long side
a and b are the other two shorter sides
this means
x^2 + 19^2 = 21^2
x^2 + 361 = 441
x^2 = 441- 361
x^2 = 441- 361
x^2 = 80
square root of 80 = ~8.9
x = ~8.9
To find out the area of the field, you just need to multiply 80 meters by 120 meters.
80 meters * 120 meters = 9600 meters²
Therefore, the unit of measurement to figure out how much fertilizer is needed to cover the field is meters².
Answer:
Surface Area: 34
Volume: 10
Step-by-step explanation:
Volume = l*w*h
We need to divide the shapes up.
First Shape: 3 length * 1 width * 2 height
Second Shape: 2 length * 1 width * 2 height
6+4=10
Surface Area: 2(lw+wh+hl)
Lets divide the shape into two parts again and plug in the number into the formula.
2(3+2+6) = 2(11) = 22
However, for this, two units are inside to shape because we split it up. We can remove these 2 units.
22-2=20
Now we move to the next shape.
(Keep in mind, you can always just count surface area.)
2(2+2+4) = 2(8) = 16
However, again, two units are inside the shape because this is not just a simple figure.
16-2=14
14+20=34
Let us say that,
<span>A = perimeter of football field of the 1st
school</span>
B = perimeter of football field of the 2nd school
C = perimeter of football field of the 3rd school
So that:
A = 320 m
B = 360 m
C = 400 m
So the first thing we have to do to find for the minimum
laps to make is to divide every perimeter by the smallest one, therefore divide
all by 320 m, hence:
A’ = 1
B’ = 1.125
C’ = 1.25
Now multiply everything by a number such that all laps
will be a whole number, in this case multiply everything by 8:
A’ = 8
B’ = 9
C’ = 10
Hence the laps to run are:
<span>8, 9 and 10</span>