The carpenter makes 1/4 of the job per hour.
The assistant makes 1/6 of the job per hour.
When they work together, they make 1/4 + 1/6 = 6/24 + 4/24 = 10/24 = 5/12 of the job each hour.
Thus, it will take 12/5 = 2 2/5 hours = 2 hours and 24 minuets for them to finish the job working together.
Answer:
DA = 285.7 m
Step-by-step explanation:
First we need to find the side AB in the triangle ABC, and we can do this using Pythagoras' theorem:
AB^2 = BC^2 + AC^2
AB^2 = 300^2 + 400^2
AB^2 = 25000
AB = 500 m
We can find the angle ABC with the tangent relation:
tangent(ABC) = 400/300 = 4/3
ABC = 53.13°
From triangle ABC, we have:
ABC + BCA + CAB = 180°
53.13 + 90 + CAB = 180
CAB = 36.87°
From triangle DAC, we have:
DAC + ACD + CDA = 180
36.87 + 45 + CDA = 180
CDA = 98.13°
Now to find the side of DA, we can use law of sines in triangle DAC:
DA/sin(DCA) = AC/sin(CDA)
DA/sin(45) = 400/sin(98.13)
DA = 400 * 0.7071 / 0.9899 = 285.7258 m
Rounding to nearest tenth, we have DA = 285.7 m
1 + 3i, - sqrt 10 would be the other two answers
Answer:
The slope of y=x is 1
Step-by-step explanation:
Slope = 1
I only (sort of) know 3 and 4
3. Andle 1 is an example of an angle bigger than
I don't know what you call it.
4. If you have a straight line, both angles (or more) added up need to be
so if angle 1 is 129, 180-129=51
angle 2 is
If 1 is what is the relationship between the two angles, then maybe the answer is that they both added up need to be 180 degress (?)
And 2 is probably the same as 3 but with angle 2, angle two is an example of an angle smaller than 90 degrees