Answer:
0.0001042
Step-by-step explanation:
Power of tens rule states that if the denominator of a fraction has the positive power of 10, decimal in the numerator will be shifted to the left by the same number of places as exponent.
10⁴) 1.042 = 
In the denominator of the given fraction, exponent of 10 = +4
So the decimal in numerator will be shifted left by 4 places.

Therefore, answer is 0.0001042
2(4z - 6 - 6) = 170 - 46
2(4z - 12) = 124 |use distributive property: a(b - c) = ab - ac
8z - 24 = 124 |add 24 to both sides
8z = 148 |divide both sides by 8
z = 18.5
Answer:

Step-by-step explanation:

The answer is BC = 38.22 cm.
<u>Step-by-step explanation</u>:
We have, ∠BKD = 120° ,BK = 28 cm, Draw a perpendicular from point K on BC let it intersect at point M. In right angled ΔBMK, ∠BKM=30° and BK = 28 cm
sin30° = perpendicular/hypotenuse
1/2 = BM/BK
1/2 = BM/28
BM= 14 cm
Now , In right angled ΔBMK ,
cos30° = base/hypotenuse
√3/2 = MK/28
MK = 14√3 = 24.22 cm
KMCD is a square MK = MC = 24.22 cm
also, BC = BM + MC , putting values of BM & MC we get :
BC = 14 cm + 24.22 cm
BC = 38.22 cm.
If we use the surface of the water as our frame of reference, then Christy's vertical position could be represented by -12 ft.