Answer:
Cosθ= -√2/3
Sinθ= -√7/3
tanβ= 4/3
Sinβ= 4/5
Cosβ= 3/5
sin(θ+β) = sin(θ)cos(β)+cos(θ)sin(β)
(-√7/3)(3/5) + (-√2/3)(4/5)
-√7/5 - 4√2/15
This is the line whose y-intercepts is -4 and whose x-intercept is -4
Answer:
15 cubes
Step-by-step explanation:
The volume of a rectangular prism is given as :
V = Lenght * width * height
V = 3/2 * 5/2 * 1/2
V = 15 / 8 cm³
Volume of a cube = a³
Where, a = side length of cube
a = 1/2 cm
V = a³ = (1/2)³ = (1/2 * 1/2 * 1/2) = 1/8
Volume of pyramid / volume of cube
15 / 8 ÷ 1 / 8
15 / 8 * 8 / 1
= 15
