Answer:
y = 22.5x
worked 28 hours
Step-by-step explanation:
First find out what they make in 1 hour (rather than 40)
you can do this by 900 / 40 which gives you 22.5
this means for every hour worked, they get $22.50
so you can make the equation of y = 22.5x
try finding the hours worked by division
630/ 22.5 = 28
plug 28 into your equation to check
y = 22.5 ( 28 )
y = $630
hope this helps
Answer:
1 34
2 45
3 23
Step-by-step explanation:
Answer:
19.33 ft
Step-by-step explanation:
This analogy has to do with Pythagoras theorem.
We're given our angle of elevation to be 46°, and told that the height of the building to be 20 ft. Using Pythagoras theorem, we know that the given height is opposite to the angle of elevation, and thus, the required distance is adjacent to it.
Sin 46° = opp / hyp
Sin 46° = 20 / hyp
hyp = 20 / sin 46
hyp = 20 / 0.719
hyp = 27.82 ft
We've gotten the length of the ladder, our hypotenuse, to be 27.82. It's tied length we'd then use top find the needed length.
Cos 46° = adj / hyp
Cos 46° = adj / 27.82
adj = 27.82 * Cos 46
adj = 27.82 * 0.695
adj = 19.33 ft
Therefore, the required length is approximately equal to 19.33 ft