We are given the vertex of a parabola equal to (4, 0) and that the passes the point (6,1). In this case, it is assumed from the given that the parabola is facing upwards. In this case, the equation is (y-k) = 4a (x-h)^2 ; y = 4a (x-4)^2 when x is 6 and y is 1. then,
1 = 4a (6-4)^24a is equal to 1/4
the equation then is y = 1/4 (x-4)^2
This is an acute triangle
The two angles are supplementary angles and when added together equal 180 degrees.
3x -12 + x+2 = 180
Simplify:
4x -10 = 180
Add 10 to both sides
4x = 190
Divide both sides by 4
X = 190/4
X = 47.5
Note that
sin(30°) = 1/2
cos(30°) = √3/2
tan(30°) = 1/√3
cos(45°) = 1/√2
tan(45°) = 1
Therefore
5 sin²(30°) + cos²(45°) - 4 tan²(30°)
= 5*(1/4) + 1/2 - 4*(1/3)
= 5/12
= 0.4167
2 sin(30°) cos(30°) + tan(45°)
= 2(1/2)(√3/2) + 1
= 1.866

Answer: 0.223
Answer:
24ounces
Step-by-step explanation:
16 ounces is 2x 8
8=1:1 ratio
8x3=24
2:3 = 16:24