Find an equation for the line that passes through the points (2,-6) and (-4,-4)
1 answer:
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Answer:
<h2>A = 37 cm²</h2>Step-by-step explanation:
Look at the picture.
We have two rectangles:
15cm × 2cm and 7cm × 1cm.
Calculate the areas:
A₁ = 15 · 2 = 30 cm²
A₂ = 7 · 1 = 7 cm²
The area of the figure:
A = A₁ + A₂ → A = 30 cm² + 7 cm² = 37 cm²
Answer:
31.5 in
Step-by-step explanation:
- Volume of a hemisphere = (2/3)
r³
(where r is the radius) - Volume of a cylinder =
(where r is the radius and h is the height) - radius r = (1/2) diameter
First, find the volume of the scoop using the volume of a hemisphere formula with r = 21:
Volume = (2/3) x 21³ = 6174
in³
Now equate the found volume of the scoop to the equation of the volume of a cylinder with r = 14, and solve for h:
14²h = 6174
196h = 6174
Divide both sides by : 196h = 6174
Divide both sides by 196: h = 31.5
Therefore, the height of the molten steel in the storage tank is 31.5 in