Answer:
4.5 % alloy
Step-by-step explanation:
Let x = amt of 30% alloy
The resulting total is to be 25 oz, therefore:
(25-x) = amt of 5% alloy:
A typical mixture equation:
.30x + .05(25-x) = .20(25)
.30x + 1.25 - .05x = 5 .30x - .05x = 5 - 1.25
.25x = 3.75
x = 3.75%2F.25
x = 15 oz of 30% alloy required
then
25-15 = 10 oz of 5% alloy:
Check solution
.30(15) + .05(10) = .20(25)
4.5 + .5 = 5
<span>The sum of the interior angles of a triangle is 180 degrees
</span>
4x + 5x + 6x = 180
15x = 180
x = 180/15
x = 12
<span>The measure of the smallest angle = 4x = 4*12 = 48</span>°
Answer:
1 real solution
Step-by-step explanation:
y=2x^2−8x+8
We can use the discriminant to determine the number of real solutions
b^2 -4ac
a =2 b = -8 c=8
(-8)^2 - 4(2)(8)
64 - 64
0
Since the discriminant is 0 there is 1 real solution
>0 there are 2 real solutions
< 0 two complex solutions
Answer:
a) 26.2
b) 13.8
Step-by-step explanation:
You add all side lengths, which are given.
a) 9+4.1+9+4.1 = 26.2
b) 3.6+3+7.2 = 13.8