Answer:
The area of the sector is 84.8 in.² to the nearest tenth
Step-by-step explanation:
∵ the clock is a circle
∴ The measure of angles between each two hours = 360° ÷ 12 = 30°
∵ At 8 o'clock the hour hand pointed on 8 and the minute hand pointed on 12
∴ There are 4 angles between the two hands
∴ The central angle subtended by the arc = 4 × 30° = 120°
∵ The Area of the sector = 
where x is the central angle subtended by this arc
∴ Area sector = 
× π × (18/2)²
∴ Area sector = 
× π ×81 = 27π = 84.8 in² to the nearest tenth
The arc length of AB is 8 m (app.)
Explanation:
Given that the radius of the circle is 8 m.
The central angle is 60°
We need to determine the arc length of AB
The arc length of AB can be determined using the formula,
Substituting central angle = 60° and circumference = 2πr in the above formula, we get,
Simplifying the terms, we get,
Dividing, we get,
Hence, the arc length is approximately equal to 8.
Therefore, the arc length of AB is 8 m
The values for x and y are respectively given as
This is further explained below.
<h3>What is the values for
x and y ?</h3>
Generally, the equation for secent is mathematically given as
Therefore
80 = 130-x
x = 50
b) To Solve for y Now we find a measure of arc CD
ArcCD = 360-130-50
ArcCD = 180
In conclusion,(1/2) of the arc measure is equal to the angle that is on and inside a circle.
y = 180/2
y= 90
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Do you have to give me the whole graph lol
It is the last answer. because the shaded part is above the line, it is greater than. the slope is 1/3. that leaves only one more equation remaining, so the answer is the last one.<span />
