H: hours
45h + 45 = 30h + 75
15h + 45 = 75
15h = 30
h = 2 hours
45 ( 2 ) + 45 = 30 ( 2 ) + 75
90 + 45 = 60 + 75
135 = 135
Therefore the awnser is 2 hours.
Answer:
The door has a width of 6.26 feet, with a height of 12.52 feet.
Step-by-step explanation:
You can solve this by taking two pieces of information we're given:
1) the diagonal size of the doorway is 14 feet
2) the height of the doorway twice its width
First lets describe the width and height using the diagonal length. We can do that with the Pythagorean theorem:
w² + h² = 14²
Now we can use the relationship between the width and height to eliminate one variable:
w² + (2w)² = 14²
w² + 4w² = 14²
5w² = 196
w² = 39.2
w ≈ 6.26
So the door has a width of 6.26 feet, with a height of double that, 12.52 feet.
When you solve an equation, it has an equal sign (=) and inequalities do not. When you solve an inequality the answer isn't exact (depending on the sign ie: <, >, etc...) equations usually are exact answers. other than that, I don't think there is a big difference in solving them.
I believe the answer is C.
Step-by-step explanation:
The sine of an angle is the same as the cosine of its complement.
If sin 30° = ½, then cos 60° = ½.
