Answer:
<DAB = 120
Step-by-step explanation:
7)
<DAB = ?
<DAB + <DCB = 180
so
16x + 8 + 8x + 4 = 180
24x + 12 = 180
24x = 168
x = 7
<DAB = 16(7) + 8 = 120
The answer is 40..........
Lagrange multipliers:







(if

)

(if

)

(if

)
In the first octant, we assume

, so we can ignore the caveats above. Now,

so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of

.
We also need to check the boundary of the region, i.e. the intersection of

with the three coordinate axes. But in each case, we would end up setting at least one of the variables to 0, which would force

, so the point we found is the only extremum.
Hey there!
In order to find if a fraction would result in a repeating decimal, recall that a fraction is a division problem written vertically. All that you have to do is divide the numerator by the denominator. Also, remember that a repeating decimal will result in the same number after the decimal point as long as the calculator can handle.
3 ÷ 4 = 0.75
1 ÷ 9 = 0.11111111...
5 ÷ 11 = 0.45454545...
3 ÷ 0.42857143...
As you can see, two out of your four answer choices give you a repeating decimal. B gives you a repeated number of "1" while C gives you "45". D doesn't count since there is no pattern of repeated numbers that it follows.
Both B and C fall into the category of repeating decimal. If you're only able to choose one answer, I would ask your teacher, a parent, or a peer what they think.
Hope this helped you out! :-)
It will take 7/8 of a minute because you just multiply 1/8 by 7