Answer:

Step-by-step explanation:
Standard form of a parabola with a vertical axis of symmetry:





If p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.
From inspection of the graph:
- Vertex = (3, -1)
- Directrix = y = -3
Therefore:
Use the Directrix equation to find p
⇒ y = (k - p)
⇒ -3 = -1 - p
⇒ p = 2
Therefore the equation of the conic section is:


Rearranging in standard form
:




Using a scale that has increments that are somewhat large, you could get an error if you reach half of the measuring unit. This is because when you arrive at a measurement greater than half of the measuring unit, you would have to round it up. Therefore, the greatest possible error when measuring to the nearest quarter of an inch is 1/8 inch. The greatest possible error when measuring to the nearest quarter of an inch is how the reader reads the measurement. Sometimes, we base our answers to what we can see and what we see may be different from others.
Answer:
Area of the given fan is 763.4 cm²
Step-by-step explanation:
Area of a sector in a circle = 
Here, angle θ = Central angle subtended by the arc
r = Radius of the circle
Since, fan is in the form of a sector of a circle with radius = 27 cm
Measure of the central angle subtended by the arc FN = ∠FAN = 120°
Area of the fan = 
= 
= 243π
= 763.407
≈ 763.4 cm²
Therefore, area of the given fan is 763.4 cm²
Answer:
2.09 sq. units
Step-by-step explanation:
We can simply use the formula for area of a sector of a circle.
Area of sector = 
Where
is the angle and r is the radius.
<em>It is given that the angle is 15 and radius is 4. We plug them in and find the area:</em>
<em>
</em>
<em />
<em>Thus area of sector is 2.09 sq. units.</em>