Answer:
B. 39.59
Step-by-step explanation:
So 43 degrees, you know the length of the opposite side (27) and the angle (43 degrees), the only unknown is the hypotenuse. So you're looking for a trigonometric ratio that uses the angle (all of them do, except technically the inverse don't), the opposite side, and the hypotenuse. Sine is defined as  . So let's plug in known values:
. So let's plug in known values:

Multiply both sides by x

divide both sides by sin(43)

Normally I would use a calculator, but in this case I'll use the approximation given in the problem of 0.682

simplify the fraction

 
        
             
        
        
        
Addition or multiplication
add 2 or times 2
        
             
        
        
        
Answer:
13.) 314.2 in²
15.) 181.5 ft²
Step-by-step explanation:
The area of a circle is found using the equation:
A = πr²
In this equation, "π" represents the number pi (3.14....) and "r" represents the radius (half the diameter).
For 13.), you have been given the radius. Thus, you can substitute it into the equation and solve for "A".
A = πr²
A = π(10)²
A = π x (100)
A = 314.2 in²
For 15.), you have been given the diameter. To find the radius, you need to divide this value by 2. Once you find the radius, you can plug it into the equation and simplify like above.
diameter = 15.2 ft
radius = 7.6 ft
A = πr²
A = π(7.6)²
A = π x (57.76)
A = 181.5 ft²
 
        
             
        
        
        
7 to 8 i think............................
        
             
        
        
        
3^(-4) means "one over 3^4"
     1/(3^4)
That's equal to 
     1/81
and 
     (1/3)^4
This is also equal to 3^2/3^6.  
So four of those are correct.