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.
Well, I can't see the choices, but to estimate that, I would round 0.48 up to 0.5, and round 591 down to 590. Then you can just half 590, which results in 295. Hope this helps!
Answer:
Using Pythagorean theory : a²+9²=15²
=> a²=225-81=144
=> a = √144 = 12
Step-by-step explanation:
The answer to the problem is 1120
Answer:
x = 367.1m
Step-by-step explanation:
Use the SohCahToa trigonometry ratios because this is a right triangle.
First, we need an interior angle of reference for the triangle. Because you know that angle labelled 37°, we can use <u>alternating angles</u> to find an interior angle. Alternating angles create a "Z" pattern where the two angles are equal. In this triangle, the missing angle on the left is 37° also.
According to SohCahToa, we will use the sinθ ratio (opposite/hypotenuse).
sinθ = opposite/hypotenuse Substitute values from the diagram
sin37° = x/610yd Isolate 'x'. Multiply both sides by 610 yd
x = (610yd)(sin37°) Multiply
x = 367.107...m Unrounded answer
x ≈ 367.1m Answer rounded to the nearest tenth
Therefore x is 367.1 meters.
