Answer:
1/5 3/8 1/2
Step-by-step explanation:
We let x = pounds of alloy that is 15% tin
The problem is modeled by the equation:
0.11(30) = 0.15x + 0.09(30-x)
The equation means that the amount of tin does not change. Also, the amount of alloy (total weight - weight of 15% alloy) is (30-x).
Solving for x:
3.3 = 0.15x +2.7 - 0.09x
.06x = 0.6
x = 10 lbs
30-10 = 20 lbs
<span>10 lbs. of the 15% alloy and 20 lbs. of the 9% alloy</span>
leg = cos(small angle)* hypotenuse
= cos(45)*4 = 2 *Square root of 2 or 2.83cm ( depending on how you need to answer.
Triangle area = 8 x 3/2
= 12
12 x 2 = 24cm^2 for 2 triangles
Height of rectangle must be found, so use pythag on triangle
a^2+ b^2 = c^2
16 + 9 =c^2
C=5
A= 5 x 12
= 60
60 x 3 triangles in total is 180cm^2
180cm^2 + 24cm^2 = 204cm^2
Ans: 204cm^2
