Answer:

Step-by-step explanation:


 
        
             
        
        
        
The simple way of calculating a perimeter is to add all of the sides.
For a rectangle this would equal 2 x length + 2 x width
P = 2(6x + 3) + 2(-2x - 5)
= 12x + 6 - 4x - 10
= 8x - 4
At a higher level both the length and width must be greater than zero (= zero is a trivial rectangle)
6x + 3 > 0
6x > -3
x > -0.5
-2x - 5 > 0
2x + 5 < 0 (multiplying by -1 reverses the inequality)
2x < -5
x < -2.5
This rectangle cannot exist as x cannot be < -2.5 and > -0.5 at the same time!
        
                    
             
        
        
        
Answer:
55°
Step-by-step explanation:
triangle= 180°
third angle= 180-90-35
 = 55°
 
        
             
        
        
        
Spilt into two figures
first one = 10 x 8 x 14 = 1120
second one = 10 x 10 x 8 = 800
Total volume = 1120 + 800 = 1920 cubic cm
        
             
        
        
        
Answer:
no of kernels  pop = 4.34 
Step-by-step explanation:
given data 
kernels pop in 5 second  = 12 
kernels are present = 235
solution
we get here kernels are pop at rate of here 
kernels are pop at rate = 12  ÷  235   
kernels are pop at rate = 0.051063 
and 
we get here maximum kernels are remaining that is 
maximum kernels remaining = 235 - 140 
maximum kernels remaining = 85 
so 
no of kernels  pop in 5 second will be 
no of kernels  pop = 0.051063   × 85 
no of kernels  pop = 4.34