Answer:
Step-by-step explanation:
1/2 (6x-10) - x
Opening bracket
= 6x/2 - 10/2 - x
= 3x - 5 - x
= 2x - 5
 
        
             
        
        
        
Answer:
200.96in^2
Step-by-step explanation:
 If the 1st cookie cake is 8" for its diameter and the 2nd cookie cake will have twice the length diameter of the 1st cookie cake .You will do 2 × 8 to get the diameter of the 2nd cookie cake.
First cookie cake diameter is 8".
Second cookie cake's diameter is 16".
Since we need the radius to find the area of the 2nd cookie cake we're going to do 16 / 2 which equals 8 so 8 is the radius.
A=(pi)r^2
A=(pi)8^2 *to the 2nd power means times by the same number
A=(pi)64
A= (3.14)(64)
A=200.96
=200.96^2
pi= 3.14 *for this problem
 
        
             
        
        
        
Answer:
7/12
Step-by-step explanation:
So, the probability of picking up a blonde wig = 1/2
The probabiliy of picking up a brunette wig = 1/12
The question asks to find th eprobability of picking up either of these types of wigs = 
1/2 + 1/12 
= 6/12 + 1/12 ( LCM of 12 and 1 is 12 )
= 7/12 
Hope this helps 
 
        
             
        
        
        
Answer:
Correct answer:  Db = 411 .18 ft
Step-by-step explanation:
Given:
α = 27°  angle of depression
Dt = 462 ft  distance from the top of lighthouse to the boat
Db = ?   distance from the base of the lighthouse to the boat
Here we have a right triangle with hypotenuse Dt and one leg Db.
By definition
cos α = Db / Dt  ⇒ Db = Dt · cos α
Db = 462 · cos 27° = 462 · 0.89 = 411 .18 ft
Db = 411 .18 ft
God is with you!!!