Answer:
Adult plate = 21 , child plate = 11
Step-by-step explanation:
number of adult plate = a , no of child plate = c
$487 = $19a + $8c (equation 1)
32 = a + c (equation 2)
Multiply equation 2 by 8 gets you:
256 = 8a + 8c (equation 3)
Solve equation 1 and equation 3 simultaneously:
487 = 19a + 8c (equation 1) minus
256 = 8a + 8c (equation 3) :
231 = 11a
a = 231/11
a= 21
Substitute a = 21 into equation 2 :
32 = 21 + c
c = 32 - 21
c = 11
So 21 adult plates and 11 child plates were sold.
To complete the square, the second degree term must have a coefficient of 1.
Since the second degree term here has a coefficient of 4, we start by dividing each term on both sides by 4.



Now we can complete the square.
First, we need to find what number completes the square.
We take the coefficient of the first degree term, -7 in this case.
Divide it by 2 and square it. -7 divided by 2 is the fraction -7/2.
Now we square -7/2 to get 49/4.
We add 49/4 to both sides.



Answer:
4 sqrt(3) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 60 = x / 8
8 sin 60 = x
8 ( sqrt(3)/2) = x
4 sqrt(3) =x