The area of a square is (side)².
If the area is 128m², then the side is (√128) meters. (That's 8√2.)
The diagonal is the hypotenuse of the right triangle you get
if you slice the square in half along the diagonal. Its length is
given in the words of Old Pythagoras:
c² = a² + b²
'a' and 'b' are sides of the square, so
c² = (√128)² + (√128)²
= 2 (√128)²
c = √ (2 x 128) = √256 = 16 meters .
Step-by-step explanation:
so the ratio of the recipe is 32/48 of pineapple juice and orange juice.
that can be simplified to the ratio of 2/3.
now, she has only 20 floz of pineapple juice.
20/x = 2/3
60/x = 2
60 = 2x
x = 60/2 = 30
she needs 30 floz of orange juice with the 20 floz of pineapple juice to maintain the prescribed ratio for fruit punch.
<span>9x-6y=3
</span>x -intercepts y = 0, 9x = 3 then x = 1/3
y -intercepts x = 0, -6y = 3 then y = -1/2
answer
x -intercepts (1/3, 0)
y -intercepts (0, -1/2)
One way is to factor 150 and add the factors
150+1=151, nope
2+75=77, nope
3+50=53, nope
5+30=35, nope
6+25=31, yep
the numbers are 6 and 25
