You will find the area of the semicircle by finding the area of the circle with a radius of 8.5 mm and the dividing it by 2.
A = pi x r^2
 3.14 x 8.5^2
A = 226.865 square mm
226.865/2
113.43
 The approximate area of the semi circle is 113.43 mm².
        
             
        
        
        
Answer:
(D) 21
Explanation:
3(2x−1)−10=8+5x
Step 1: Simplify both sides of the equation.
3(2x−1)−10=8+5x
(3)(2x)+(3)(−1)+−10=8+5x(Distribute)
6x+−3+−10=8+5x
(6x)+(−3+−10)=5x+8(Combine Like Terms)
6x+−13=5x+8
6x−13=5x+8
Step 2: Subtract 5x from both sides.
6x−13−5x=5x+8−5x
x−13=8
Step 3: Add 13 to both sides.
x−13+13=8+13
x=21
 
        
                    
             
        
        
        
Answer:
120
Step-by-step explanation:
9.6÷0.08=120 
hope this helped
 
        
             
        
        
        
Answer:
see explanation
Step-by-step explanation:
(4)
consider the left side
factor the numerator
cosx - cos³x = cosx(1 - cos²x) 
![\frac{cosx(1-cos^2x)}{sinx}[/tex = [tex]\frac{cosxsin^2x}{sinx}](https://tex.z-dn.net/?f=%5Cfrac%7Bcosx%281-cos%5E2x%29%7D%7Bsinx%7D%5B%2Ftex%20%3D%20%5Btex%5D%5Cfrac%7Bcosxsin%5E2x%7D%7Bsinx%7D)
cancel sinx on numerator/denominator
= cosxsinx =right side ⇒ verified
(5)
Consider the left side
expand the factors
(1 + cotΘ)² + (1 - cotΘ)²
= 1 + 2cotΘ + cot²Θ + 1 - 2cotΘ + cot²Θ
= 2 + 2cot²Θ
= 2(1 + cot²Θ) ← 1 + cot²Θ = cosec²Θ
= 2cosec²Θ = right side ⇒ verified
(6)
Consider the left side
the denominator simplifies to
cosxtanx = cosx ×  = sinx
 = sinx

= sinx(  +
 +  )
)
=  +
 + 
= tanx + 1 = right side ⇒ verified
 
        
             
        
        
        
63 initially
Tonya is running a marathon she ran 12 miles she had 51 miles left now many miles is the whole marathon