Answer:
Step-by-step explanation:
Equation given
tan(3B-32 ) = cot ( 5B +10 ) = tan [ 90 - ( 5B + 10 ) ]
tan(3B-32 ) = tan (90 - 5B - 10 )
(3B-32 ) = (90 - 5B - 10 )
8B = 32 + 80
B = 14° .
Distribute 
to every term inside the parentheses.
Simplify with multiplication.
You can't simplify further by adding, so leave the answer as-is.
Answer: 1.5 or 1 1/2
Step-by-step explanation:
Answer:
CT
Step-by-step explanation:
The diameter is the longest possible line through the sphere and passes through the center.
The total number of gallons of paint needed for the big room is 3x and the number of gallons of paint needed for the small room is 2y.
3x + 2y = 16
Given the sizes of the room, the relation should be that,
x = 2y
Solving the equation,
3(2y) + 2y = 16
y = 2
Therefore x is equal to 4 gallons.
With the condition that only the bigger room is painted, the number of gallons of paint used should be 12 gallons and what is left should be 4 gallons.
