Answer:
1423/33
Step-by-step explanation:
Let x = 43.121212.........
Two digits are repeating after decimal point. So multiply both sides by 100
100x = 4312.1212 --------------(I)
<u> x = 43.1212 </u> -----------(II) { subtract equation (II) form (I)}
99x = 4269
x= 4269/99 {reduce to simplest form by giving by 3rd table}
x = 1423/33
9514 1404 393
Answer:
21.8 cm
Step-by-step explanation:
A useful way to write the Law of Sines relation when solving for side lengths is ...
a/sin(A) = b/sin(B)
Then the solution for 'a' is found by multiplying by sin(A):
a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)
__
We need to know the angle A. Its value is ...
A = 180° -75° -31.8° = 73.2°
Then the desired length is ...
a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)
a ≈ 21.8 cm
_____
I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.
F(2) is (0) so your answer is A. (0,2).
Answer: 27 and 18
Step-by-step explanation:
x - y = 9 → x = 9 + y
3y = 2x
3y = 2(9 + y)
3y = 18 + 2y
3y - 2y = 18
y = 18
2x = 3(18)
2x = 54
x = 27
x - y = 9
27 - 18 = 9
9 = 9
multiply everything together
there are 26 letters and 10 digits
so 26 x 26 x 10 x 10 x 10 = 676,000 combinations