Answer:
0.8941
Step-by-step explanation:
sin D = opp / hyp = 6 m / 6.71 m = 0.8941
There could only be 8 because 10 *8 is 80 and that is your maximum number you can have
Answer: Jack can fill his feeder 12 times with 4 pounds of birdseed.
Step-by-step explanation:
You need to analize the information given in the exercise, You know that every time Jack fills the feeder, he put
pounds into it.
Then, in order to solve this exercise, let "x" represents the number of times that Jack can fill his feeder with 4 pounds of birdseed.
Keeping on mind the data provided in the exercise, you can set up de following proportion:

Finally, you must solve for "x" in order to find its value.
You get that this is:

Therefore, you can conclude that Jack can fill his feeder 12 times with 4 pounds of birdseed.
Answers:
Row 0: 1
Row 1: 1 1
Row 2: 1 2 1
Row 3: 1 3 3 1
Row 4: 1 4 6 4 1
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Explanation:
This is known as Pascal's Triangle. Each value, other than the '1's, is found by adding the values directly above it. For instance, the '4' is the result of 1+3, and the 6 is a result of 3+3, and so on.
You can use the nCr combination formula to find the same values.
Alternatively you can expand out binomials of the form (x+y)^n, for integer values of n, and you'll find the coefficients of the terms match perfectly with Pascal's Triangle.