Answer:
Step-by-step explanation:
Let the area of the rectangle be Length × width
LW = 8000
If the diagonal is 10feer greater than one of its length then:
D = 10+L
Diagonal is represented using the Pythagoras theorem as shown:
D² = L²+W²
(10+L)²= L²+W²
100+20L +L² = L²+W²
From LW = 8000
W = 8000/L
100 + 20L = (8000/L)²
100 +20L = 64,000,000/L²
Cross multiply
100L² + 20L³ = 64,000,000
2L³+10L² = 6,400,000
L³+5L² = 3200000
L³+5L² -3200000 = 0
Answer:
- 1 grams of one of the alloy; and
- 7 grams of the other corresponding alloy.
Step-by-step explanation:
The ratio between the gold and silver in the first piece = 2:3
The ratio between the gold and silver in the second piece =3:7
The ratio in the mixture = 5:11
We want to have 8 gram of the new mixture.
Let the gram of alloy taken from the first piece=x
Therefore: gram of alloy would be taken from the second piece=(8-x)
This gives:

We simplify the equation above for the value of x.

Therefore to create 8 gram of gold and silver alloy with gold-silver ratio 5:11, we take 1 grams of one of the alloy and 7 grams of the other alloy.