Given that cosine theta = x/6. which expression represents theta in terms of x? a. arccos(x/6)b. cos(x/6)c. sin(x/6)d. arcsin(x/6)

arccos(x/6) which is choice A

===========================================

Explanation:

If we had something like 6*x = 12, then we would divide both sides by 6 to isolate x. Note how division is the inverse operation of multiplication. "inverse" is just a fancy word that means "opposite" more or less. So division is the opposite of multiplication. It undoes whatever multiplication is doing.

In a similar fashion, the arc trig functions undo the regular trig functions. In this case we have a cosine applied to theta. To undo the cosine operation, we use the arccosine function which is arccos for short. So we have this

cos(theta) = x/6)

arccos( cos(theta) ) = arccos(x/6) ... apply arccos to both sides

theta = arccos(x/6) ... note how the "arccos" and "cos" cancel out on the left side

note: your calculator may have the notation (cos with a -1 as an exponent) which is basically the same thing as arccosine.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

answer: about 22.67

step-by-step explanation: