Answer:
sin70° = x/6
Step-by-step explanation:
When we draw out our picture and triangle, we should see that our angle is on the ground 70°, the height <em>x</em> is across from the angle and is the vertical leg up, and that our hypotenuse is equal to 6:
sin70° = x/6
 
        
                    
             
        
        
        
Ok so let's start with what we know- the shortest piece is 8 inches so there's one length... then the middle piece is 6 inches longer than the shortest (6+ 8) so the middle piece would be 14 inches long. To find the last piece we can add up the other two pieces we know (14+8) which would be 22 and subtract that from how long the whole sandwich is (59-22) which would be 37 inches long. So in the end he shortest piece would be 8 inches, the middle 14 inches and the longest 37 inches.
        
             
        
        
        
draw an equilateral triangle that has a side length of all 4cm
 
        
                    
             
        
        
        
Answer:
The perimeter of the triangle can be expressed as 5x + 18.
Step-by-step explanation:
Perimeter of an object is the sum of the length of its sides.
For the required triangle, we have;
length of the base = x
length of the second side = 3x + 9
length of the third side = x + 9
Perimeter of the triangle = length of the base + length of the second side + length of the third side
                                         = x + (3x + 9) + (x + 9)
                                         = x + 3x + 9 + x + 9
                                         = 5x + 18
The perimeter of the triangle can be expressed as 5x + 18.