- One type of granola has 30% nuts, by
mass. A second type of granola has 15%
nuts. What mass of each type needs to be
mixed to make 600 g of granola that will
have 21% nuts?

Are needed 240 g of granola at 30% nuts and 360 g  of granola at 15% nuts

Step-by-step explanation:

Let

x ----> the mass of one type of granola at 30% nuts

y ----> the mass of one type of granola at 15% nuts

Remember that

we know that

The system of linear equations that model this situation is

----> equation A

----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both lines

using a graphing tool

the solution is the point (240,360)

see the attached figure

therefore

Are needed 240 g of granola at 30% nuts and 360 g  of granola at 15% nuts

∠ A = 35°

Step-by-step explanation:

The measure of the tangent- tangent angle A is half the difference of the intercepted arcs.

minor arc = 145°

major arc = 360° - 145° = 215°

Then

∠ A = ( 215 - 145) = × 70° = 35°