7) 29/9; repeating
8) 301/20; terminating
9) -101/20; terminating
Answer:
17576
Step-by-step explanation:
As L can be anything from A to Z , there are 26 combinations for that and as repetition is allowed, for second and third letters, we again have 26 combinations available and thus 26×26×26=17576 combinations for letters.
You want to find R. From angle R, you know the side lengths for opposite and hypotenuse. According to SohCahToa, that is sine. Sin (x) = Opposite / Hypotenuse = 2.5 / 5 = 0.5
Sine(x)=.5. To get x by itself divide both by the inverse of sine.
Answer:
3/2 x^2 y z^5
Step-by-step explanation:
24x^5y^2z^10 / 16x^3y z^5
split into pieces
24/16 * x^5/x^3 y^2/y z^10/z^5
when dividing exponents with the same bases, we subtract the exponents
3/2 x^(5-3) y^(2-1) z^(10-5)
3/2 x^2 y^1 z^5
Answer:
x = 6
y = 7
a = 1/4
Step-by-step explanation:
Equation 1:
2(3x+2) = 2x + 28
6x + 4 = 2x + 28
4x = 24
x = 6
Equation 2:
5y+13 = -43-3y
8y = -56
y = -7
Equation 3:
8a + 8 = 16 - 24a
32a = 8
a = 1/4