Octahedron has 8 faces, icosahedron has 20 faces. Therefore the answer is dodecahedron, it has 12 faces.
Answer:
x is approximately 25.83
Step-by-step explanation:
x + 25 + 5x = 180
6x + 25 = 180
6x = 155
x=25.83
Answer:
y=(7±√89)/-4
Step-by-step explanation:
y=(-b±√b^2 -4ac)/2a
Rewrite given equation in quadratic form so it is -2y-7y+5=0
Then, in formula, sub -2 for a, -7 for b, and 5 for c
y=-(-7)±√(-7)^2 -4(-2)(5)/2(-2)
When you multiply that out you get
7±√49-(-40)/-4
The next step is the answer given above
If you need the answer not in sq rt form, it is y=-4.1085 and y=0.0608
The dot product is a technique that solves the resultant vector through the use of matrices. Since we have no coordinates, we can't use matrices. However, we can still solve the resultant vector (red line) through cosine law. The solution is as follows:
R² = 4² + (1/2)² - 2(4)(1/2)(cos π/4)
R = √13.42
R = 3.66
The resultant vector has a magnitude of 3.66.