Answer:
x = 21
Step-by-step explanation:
If RECT is a rectangle, each of its interior angles are right angles, 90°. Since ∠RTC is split into two angles, the sum of the two angles must be 90°. (Angles that add to 90° are called complementary angles).
∠RTC = ∠RTE + ∠ETC     Formula for complementary angles
90 = 2x + 6 + 42                Substitute the angles
90 = 2x + 48               Combined like terms to simplify
Now isolate "x" to solve
90 - 48 = 2x + 48 - 48         Subtract 48 from both sides
42 = 2x
42/2 = 2x/2       Divide both sides by 2
x = 21
Therefore x is 21.
 
        
             
        
        
        
Answer:
 = 3oz
Step-by-step explanation:
v = 20mm ×150mm ×2mm = 6000 mm^3
so, the weight is
6000 mm^3 × 0 .0005oz/1mm^3 = 3oz
 
        
             
        
        
        
Answer:
3n^2 (9+25n)
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
4 m/s downwards
Step-by-step explanation:
Velocity is given by dividing the distance by time taken to cover the diatance. Therefore, expressed as v=d/t
The distance is given as 24 m but the time given covers only half the distance. Therefore, the distance is 0.5*21=12 m
Time taken is given as 3 s
Substituting 12 m for d and 3 s for t then
V=12/3= 4 m/s
Velocity must have direction component hence velocity is 4 m/s downwards
 
        
             
        
        
        
Answer: It would equal 1/27. 
Step-by-step explanation: Any number raised to a negative exponent, essentially means you reciprocal to get rid of the negative. After that, you do the math for the number in the denominator, without considering the negative sign. You could also do it the other way, do the function first without the negative, 3^3 is 27 and then applying the negative, reciprocal it to 1/27.