Step-by-step explanation:
Please refer to the attachment
School to mall - 16 miles
mall to library - 30 miles
16²+30²=X²
256+900=X²
X²=1156
X=34
16+30=46
hypotenuse = 34
46-34=12
So Mike travel 12 miles more.
Answer:
Acute isosceles triangle
Step-by-step explanation:
because an acute angle is more than 45 but less then 90.
that's all i know sorry!
Answer:
Principle should be $2,667
Step-by-step explanation:
We need $3000 for a vacation to Europe in 3 years.
Using amount formula,
Where, P is principle (P=?)
A is amount (A=3000)
r is rate of interest (r=0.04)
t is time (t=3)
Substitute the values into formula and solve for P
Hence, Principle should be $2,667
Let the weight of soymeal be s, and let the weight of cornmeal be c.
You need a total of 280 lb, so that gives us one equation.
s + c = 280
Now we use the protein to write another equation.
The protein in s lb of soymeal is 0.14s.
The protein in c lb of cornmeal is 0.07c.
The protein in 280 lb of 0.09% protein mix is 0.09(280).
This gives us a second equation.
0.14s + 0.07c = 0.09(280)
Now we solve the two equations as a system of equations.
s + c = 280
0.14s + 0.07c = 0.09(280)
Solve the first equation for s and plug in tot eh second equation.
s = 280 - c
0.14(280 - c) + 0.07c = 25.2
39.2 - 0.14c + 0.07c = 25.2
-0.07c = -14
c = 200
Now we substitute c = 200 in the first equation to find s.
s + 200 = 280
s = 80
Answer: 200 lb of soymeal and 80 lb of cornmeal
