Answer:
false: positive and negative numbers are on two completely opposite sides of a number line, coordinate plane, etc. Just like 4 is different than 5, it is the same with positive and negative numbers
 
        
                    
             
        
        
        
Answer:
Area = 1808.64 cm
Step-by-step explanation:
Circumference of a circle = 2πr
Circumference = 150.72
π = 3.14
r = radius
150.72 = 2 x 3.14 x r
150.72 = 6.28 r
r = 150.72/6.28
r = 24cm
Radius = 24
Area of a circle = πr²
Area = 3.14 x 24²
Area = 3.14 x 576
Area =1808.64 cm
 
        
             
        
        
        
Answer:
72 sides
Step-by-step explanation:
The sum of the angles of a polygon with n sides is (n−2) × 180 
Since the polygon is regular, we can divide by the number of sides to find the measure of each angle (n−2) × 180 / n
Each angle is equal to 175
(n−2) × 180 / n = 175
Multiply each side by n
(n-2)180 = 175n
Distribute
180n -360 = 175n
Subtract 180n from each side
180n-180n-360 = 175n-180n
-360 = -5n
Divide each side by -5
-360/-5 =-5n/-5
72 = n
There are 72 sides
 
        
                    
             
        
        
        
Part 1:
Given that the length of the chord is 18 cm and the chord is midway the radius of the circle. 
Thus, half the angle formed by the chord at the centre of the circle is given by:

Now, 

Therefore, the radius of the circle is 
10.4 cm to 1 d.p.
Part 2I:
Given that the radius of the circle is 10 cm and the length of chord AB is 8 cm. Thus, half the length of the chord is 4cm. Let the distance of the mid-point O to /AB/ be x and half the angle formed by the chord at the centre of the circle be θ, then

Now, 

Part 2II:
Given that the radius of the circle is 10cm and the angle distended is 80 degrees. Let half the length of chord CD be y, then:

Thus, the length of chord CD = 2(6.428) = 12.856 which is approximately 
12.9 cm.
 
        
        
        
other leg = 12 cm
using Pythagoras' identity with x as the side to be found, then
x = √(13² - 5² ) = √(169 - 25 ) =√144 = 12