What is the difference between a question asking you to factor a quadratic equation completely and a question asking you to solv
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Answer:
This is the same as writing y < (-1/2)x+3
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Explanation:
The dashed boundary line goes through (0,3) and (4,1)
Apply the slope formula for those two points
m = (y2-y1)/(x2-x1)
m = (1-3)/(4-0)
m = -2/4
m = -1/2
The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing
We shade below the dashed line to represent the inequality . Points in the shaded region are solutions to the inequality. One example point is (0,0).
Note that we don't have "or equal to" as part of the inequality sign because we are not including points on the boundary. A solid line, rather than a dashed line, would include points on the boundary.
Answer:
310.8m²
Step-by-step explanation:
<u>GIVEN :-</u>
- Diameter = 9m ⇒ Radius (r) = 9/2 = 4.5m
- Slant height (l) = 13m
<u>TO FIND :-</u>
- Surface area of the whole figure.
<u>FORMULAES TO KNOW BEFORE SOLVING :-</u>
- Curved surface area of cone =
(where r = radius & l = slant height)
- Curved surface area of hemisphere =
(where r = radius)
<u>PROCEDURE :-</u>
In the figure , the cone is mounted on a hemisphere.
⇒ Radius of cone = Radius of hemisphere = 4.5m
Total surface area of the figure = Curved surface area of both cone & hemisphere.
⇒
- Curved surface area of cone =
≈ 183.7m²
- Curved surface area of hemisphere =
≈ 127.1m²
∴ Total surface area = 183.7 + 127.1 = 310.8m²