Answer:
m = 3/2
Step-by-step explanation:
Use the slope formula: (y2 - y1) / (x2 - x1)
Answer:
The shape can be broken into a rectangular prism and a triangular prism.
The volume of the ramp is 24 feet cubed.
Step-by-step explanation:
The ramp has a rectangular prism and triangular prism. The combined shape makes the ramp.
The volume of a rectangular prism = Bh
where
B = base area
B = length × width
h = height
volume = 1.5 × 4.8 × 2 = 14.4 ft³
The volume of a triangular prism = base area + slant height
volume = 1/2 b × h × l
where
b = base of the triangle
h = height of the triangle
l = slant height of the prism
volume = 1/2 × 2 × 2 × 4.8 = 19.2/2 = 9.6 ft³
The volume of the ramp = 14.4 + 9.6 = 24 ft³
The second one should be the answer
Step-by-step explanation:
< PQS is exterior angle of the triangle
So,
2X = X + 58
X=58
m < P = 58
m <P QR = 180 - ( 58 + 58 ) =, 64
m < P QS = 116