16x + 33y = 260, I think this is correct. Hope this helps!:)
Answer:
Part A:
0.1111111111111 = 1/9
Part B:
3
Step-by-step explanation:
Part A:
When I put 0.111111111 into my calculator I get a conversion of 1/9.
Part B:
The fraction 1/9 means that for every 9 kids he surveyed, 1 of them replied "yes."
So covert 1/9 into x/27
27/9 = 3 which means 9 goes into 27, 3 times.
Multiply 1 by 3.
1 x 3 = 3
Put into fraction form
3/27
This means 3 students out of 27 answered "yes."
Answer:
log₃(243) = x
Step-by-step explanation:
3^x = 243
Rule: a^x = b -> logₐ(b) = x
log₃(243) = x
A suitable solver will tell you instantly that the measure of b is 179.18 ft.
_____
If you want to do it yourself (meaning also with the aid of a calculator), you can use the Law of Sines. The given side is side "c", so you need the measure of angle C. That will be
180° -33° -63° = 84°
Then side "b" can be found from
b/sin(B) = c/sin(C)
b = c*sin(B)/sin(C)
b = (200 ft)*sin(63°)/sin(84°) ≈ 179.183 ft