Answer:
y=-1x-5
Step-by-step explanation:
Answer:
BC ≈ 4.0
Step-by-step explanation:
∠ DCA = 180° - 70° = 110° ( adjacent angles )
∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle
∠ DAC = 180° - 140° = 40°
Using the Sine rule in Δ ACD to find common side AC
=
( cross- multiply )
AC × sin40° = 15 × sin30° ( divide both sides by sin40° )
AC =
≈ 11.668
Using the cosine ratio in right triangle ABC
cos70° =
=
=
( multiply both sides by 11.668 )
11.668 × cos70° = BC , then
BC ≈ 4.0 ( to the nearest tenth )
The volume is 800pi cubic feet
I do y get this but it might be 4
*The width in your question - I assumed it is refers to the height of the triangle base.
Volume of a triangle prism = base area x height
The base is a triangle:
Volume of a triangle prism = (1/2 x base x height₁) x height₂
Plug in the values and solve for height₂:
50.4 = (1/2 x 9 x 3.5) x height
50.4 = 15.75 x height
height = 50.4 ÷ 15.75
height = 3.2 units
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Answer: Height = 3.2 units
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