Answer:
13.73 in^2 because the circle's area is 50.27 in^2
Answer:
- 575.6 N at 40°
- 451.7 N at 55°
Step-by-step explanation:
Angles are measured from the direction of motion, so the "force made good" is the force in the rope multiplied by the cosine of the angle. If the forces in the ropes (in Newtons) are represented by x and y, then we have ...
x·cos(40°) +y·cos(55°) = 700
In order for the resultant to be in the direction of motion, the forces perpendicular to the direction of motion must cancel.
x·sin(40°) - y·sin(55°) = 0
Here, we have assumed that the positive direction for measuring 40° is the negative direction for measuring 55°. That is, the angles are measured in opposite directions from the direction of motion.
Any of the usual methods for solving systems of linear equations can be used to solve this set. My preference is to use a graphing calculator. It gives the answers summarized above.
Theoretical probability is probability based on reasoning written as a ratio of the number of favorable outcomes to the number of possible outcomes. Hope this helps w/process of elimination of your answers. :D
Answer:
6
Step-by-step explanation:
2 x 3 = 6
12 - 6 = 6
Every possible combination of the letters SURE are going to be listed in alphabetical order. The permutation we want is RUSE which begins with the letter R and will come after every permutation that begins with E since it is the next alphabetically. We can first determine how many permutations begin with E.
Since we start with E, there are only three letters left to form the rest of the permutation. So 3! = 3*2*1 = 6 states that there are 6 permutations that can be made from the remaining three letters. So there will be 6 permutations that begin with E.
Using this same logic, we now know that there are 6 permutations that begin with the letter R. The letters USE are in reverse alphabetical order, which means that the word RUSE will appear as the last permutation that begins with R.
We know there are 6 permutations that begin with E, followed by 6 permutations that begin with R, making 12 total at this point. And since RUSE appears as the last permutation beginning we R, we know that RUSE shows up 12th.
