Answer:
23.3786
Step-by-step explanation:
tan33° = x÷36
x = tan33°×36
x = 23.3786
Answer:
45!
Step-by-step explanation:
Let x gallons be the amount of pure antifreeze that should be added to the 30% solution to produce a solution that is 65% antifreeze. Then the total amount of antifreeze solution will be x+3 gallons.
There are 30% of pure antifreeze in 3 gallons of solution, then
3 gallons - 100%,
a gallons - 30%,
where a gallons is the amount of pure antifreeze in given solution.
Mathematically,

Now in new solution there will be x+0.9 gallons of pure antefreeze.
x+3 gallons - 100%,
x+0.9 - 65%
or

Answer: he should add 3 gallons of pure antifreeze.
Number of possible combinations = (4x3) ÷ 2 = 6
Answer: There are 6 possible combinations.
Answer:
Segment AC = 10 units
segment AD =
angle 1 = 45°
angle 2 = 90°
AE = BE = CE = DE = 5
SEGMENT AC = AE + CE
= 5 + 5
= 10 UNITS
SEGMENT AD = 5² + 5²
= √50
= 7.071
= 7 UNITS
ANGLE 1 = 90° ÷ 2
= 45°
ANGLE 2 = 360° ÷ 4 / 180° ÷ 2
= 90°