Answer:
71°
Step-by-step explanation:
BDH is a triangle (as seen on figure)
<BDH + <DBH = <DHE ( Sum of two interior angles of a triangle is equal to the opposite exterior angle) 
40° + 31° = X
X = 71°
 
        
             
        
        
        
Answer:
6283 in³ 
Step-by-step explanation:
The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.
Since the cardboard box is in the shape of a cube, its volume V = L³
So, L = ∛V
Since V = 12000 in³,
L = ∛(12000 in³)
L= 22.89 in
So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2
So, V = 4π(L/2)³/3 
= 4πL³/8 × 3 
= πL³/2 × 3 
= πL³/6 
= πV/6 
= π12000/6 
= 2000π 
= 6283.19 in³ 
≅ 6283.2 in³ 
= 6283 in³ to the nearest whole cubic inch
 
        
             
        
        
        
$86.52
6.18•14=86.52
I hope this helps and have a great day (Also brainliest would be appreciated but you don’t have to) :)
        
             
        
        
        
Answer:
2 pints: 0.25 gallons
16 pints: 2 gallons
Step-by-step explanation:
1 gallon = 0.125 pints