Answer:
B. m∠B = 80°
Step-by-step explanation:
Supplementary angles are two angles that sum to 180°
⇒ m∠A + m∠B = 180°
⇒ 100° + m∠B = 180°
⇒ m∠B = 180° - 100°
⇒ m∠B = 80°
The total surface area of the cone is 542.592 square mm
<h3>Total surface area of a cone</h3>
The formula for calculating the total surface area of a cone is expressed as:
TSA = πr(r + l)
where
r is the radius of the cone
l is the slant of the cone
Given the following parameter
l = 13.6mm
r = 8mm
Substitute
TSA = π(8)(8+13.6)
TSA = 3.14(8)(21.6)
TSA = 542.592 square mm
Hence the total surface area of the cone is 542.592 square mm
Learn more on surface area here: brainly.com/question/76387
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Answer: The area of the cross section is 81pi meters.
Since we are given the circumference, we can write and solve an equation about the diameter.
C = pi(d)
18pi = pi(d)
18 = d
Since the diameter is 18, the radius is half of that or 9 meters.
Now, plug 9 as the radius into the area formula.
A = pi(r^2)
A = pi(9^2)
A = 81pi
Answer:
upper control limit = 13.34
Step-by-step explanation:
The c-chart is used to check the change in the number of recorded calls per day
First find out the center line
c = sum of recorded calls/number of days
c = (3 + 0 + 8 + 9 + 6 + 7 + 4 + 9 + 8)/9
c = 54/9
c = 6
The upper control limit for 3σ is
upper control limit = c + 3√c
upper control limit = 6 + 3√6
upper control limit = 13.34
Therefore, the upper control limit for the 3-sigma c-chart is 13.34.
