Answer:
u = (sa) + k
Step-by-step explanation:

Answer: Angle DCE would be 12
Step-by-step explanation:
Assuming that angle BCD is right then just set up equation to equal to 90
4x+10+2x+8=90
then solve
6x+18+90
6x=72
x=12
Answer:
4 sqrt(5)
-----------------
5
83 +12 sqrt(35)
Step-by-step explanation:
1. 4 sqrt(6)
--------------------
sqrt(30)
Multiply the top and bottom by sqrt(30) to rationalize the denominator
4 sqrt(6) *sqrt(30)
--------------------
sqrt(30)*sqrt(30)
4 sqrt(180)
--------------------
30
Simplify
2 sqrt(36 *5)
--------------------
15
We know that sqrt(ab) = sqrt(a) sqrt(b)
2 sqrt(36)sqrt(5)
--------------------------
15
2 *6*sqrt(5)
-------------------
15
Simplify
2 * 2 sqrt(5)
---------------------
5
4 sqrt(5)
-----------------
5
2. (2 sqrt(5) + 3 sqrt(7))^2
(2 sqrt(5) + 3 sqrt(7)) (2 sqrt(5) + 3 sqrt(7))
FOIL
first 2sqrt(5)*2sqrt(5)=4*5=20
outer 2 sqrt(5) * 3 sqrt(7) = 6 sqrt(35)
inner 3 sqrt(7) *2 sqrt(5) = 6 sqrt(35)
last 3sqrt(7) 3sqrt(7) = 9*7 = 63
Add them together = 20 + 6 sqrt(35)+ 6 sqrt(35) +63 = 83 +12 sqrt(35)
The answer is c, all others can be ruled out.
Answer: 15
Step-by-step explanation:
Since we are informed that in exchange for 5 eclaire boxes, that Luna gets, she decided to give 1 eclaire box for free.
Then, the number of eclaires boxes that they can buy from Luna using 77 claire boxes will be:
= 77 / 5
= 15 2/5
= 15 approximately
They'll get 15 boxes of eclaires from Luna.