1 19/100 is your answer........
Answer:
This a vector addition problem and you need to know the law of cosines and law of sines to solve this problem.
Two vector forces of 80lbs and 70 lbs act on an object at 40 degree angle between them.
The magnitude of the resultant force can be found by applying the law of cosines:
c2 = a2 + b2 - 2abcos140°
where a = 80, b = 70 and c is the resultant force vector you are asked to find
Once you find the magnitude of the resultant force, then you can find the angle it makes wrt the 70lb force using the law of sines:
sinα/a = sin140°/c
where α is the angle opposite side a, or the angle between the resultant and the 70lb vector that you are asked to find. so it would be 140lbs
Step-by-step explanation
Use the Pythagorean theorem
A^2+b^2=c^2
12^2+5^2=c^2
144+25=c^2
169=c^2
13=c
13 foot ladder
Answer:
The possible X values are the natural numbers.
RRL: X=3
AARRL: X=5
AARL: X=4
RRAL: X=4
ARL: X=3
Step-by-step explanation:
Since we are going to observe the cars and the experiment will end when one of them turns left, and X is the number of cars observed, the possible X values will be the natural numbers (1,2,3....). Clearly we can observe any number of cars before one of them turns left. We cannot observe negative numbers of cars, or zero cars (We are going to observe at least one car), or fractions of cars.
Given the outcomes below, find their associated X values:
For this part of the problem, we are going to count how many cars we observed in total and that will be the X value.
RRL: X=3
AARRL: X=5
AARL: X=4
RRAL: X=4
ARL: X=3