Which mathematical property is demonstrated? 5 • 7 • 4 = 5 • 4 • 7 a. commutative property of addition b. commutative property of multiplication c. associative property of addition d. associative property of multiplication

Step-by-step explanation:

The operation 5 • 7 • 4 = 5 • 4 • 7 is demonstrating the commutative property of multiplication, because factor 7 and 4 are being commutate, that is, changed their position, to prove that no matter the order, it will result the same quantity. Also, it's property of multiplication and not addition, because there are factor that are being multiplied.

The next of the demonstration should be:

5 • 7 • 4 = 5 • 4 • 7

140 = 140.

Therefore, option B is the right answer.

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)