The relationship of arcs is:
S '/ S = ((1/9) * pi * 3) / (2 * pi * 3)
Rewriting we have:
S '/ S = ((1/9)) / (2)
S '/ S = 1/18
Therefore, the area of the shaded region is:
A '= (S' / S) * A
Where A: area of the complete circle:
A '= (1/18) * pi * r ^ 2
A '= (1/18) * pi * (3) ^ 2
A '= (1/18) * pi * 9
A '= (1/2) * pi
Answer:
The area of the shaded region is:
A '= (1/2) * pi
Answer:
4%
Step-by-step explanation:
We solve this question using z score formula
z = (x-μ)/σ,
where
x is the raw score = 100 feet
μ is the population mean = 86 feet
σ is the population standard deviation = 8 feet
Hence,
x > 100 feet
z = (100 - 86)/8
z = 1.75
Probability value from Z-Table:
P(x<100) = 0.95994
P(x>100) = 1 - P(x<100) = 0.040059
Converting to Percentage
= 0.040059 × 100
= 4.0059%
Approximately = 4%
Therefore, the percentage of the pine trees in this forest are taller than 100 feet is 4%
If you are given t<span>he valley of at least 4 feet below sea level, and then let us assume that x is the distance of the valley, then the inequality is x < 4. </span>
Answer:
Step-by-step explanation:
Use two given points (-6, -3) and (6, -7) to find equation of the line.
<u>The slope:</u>
- m = (y₂ - y₁)/(x₂ - x₁) = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = - 1/3
<u>The y - intercept is also visible on the graph (0, -5): </u>
<u>The line is:</u>
For the function: (x-4)(x+2)
- x intercept: (-2, 0) and (4, 0)
Point these coordinates and draw a curve on the graph.
