Answer:
Step-by-step explanation:
Answer:
Line M would also have a slope of 2/3.
Step-by-step explanation:
When two line are parallel that means that they will never intersect.
In order for two lines to avoid intersection they would have to be at the same slope.
Since lines K and line M are parallel to each other they have to have the same slope.
Answer:
7.96 ft
Step-by-step explanation:
Given;
Length of ramp L = 8 ft
Angle with the horizontal (ground) = 6°
Applying trigonometry;
With the length of ramp as the hypothenuse,
The horizontal distance d as the adjacent to angle 6°
Since we want to calculate the adjacent and we have the hypothenuse and the angle. We can apply cosine;
Cosθ = adjacent/hypothenuse
Substituting the values;
Cos6° = d/8
d = 8cos6°
d = 7.956175162946
d = 7.96 ft
The building is 7.96ft away from the entry point of the ramp.
Let the distance be x miles
Time = Distance / speed
Time taken by Mike to go to his friend's house = x / 40 hours
Time taken by him to return = x / 45 hours
Total time = x / 40 + x / 45 = 4 hours
= 9x + 8x = 1440 miles
17x = 1440
= x = 1440 ÷ 7
= x = 84.706
Time taken to return home = 84.706 /45= 1.882 hours .
Therefore , Mike took 1.882 hours to reach home .
Answer:
Multiply the a nagative to what is inside the paranthesis on the right side of the nagative sign then combine like variables. This will give you your answer.
Step-by-step explanation:
Multiply the a nagative to what is inside the paranthesis on the right side of the nagative sign then combine like variables. This will give you your answer.
