Answer:
B. -1/8
Step-by-step explanation:
Using the terms given in the sequence:
4, -2, 1, -1/2, 1/4
we can find the pattern by dividing since it is a geometric seqence:
-2/4 = -1/2
1/-2 = -1/2
-1/2 ÷ 1 = -1/2
So, each term is multiplied by -1/2 to get the next term in the sequence:

Answer:
( t - p ) / 85x = h
( t - 265.95 ) / 85x = h
648.45 - 265.95 / 85x = 3.32h
h = 3.32
Therefore ( t - p ) / 85x = 3.32
Step-by-step explanation:
648.45 - 265.95
282.50 /85
= 3.32 hrs
Finding equation to find hours can be shown as
( t - p ) / 85x = 3.32
How we found equation to find total
Parts = 19 x 14 - 5/100 = 266- 0.05
648.45 - 265.95 = 282.5
282.5/85 = 3.323 near to 3,233529
Labour = 85x = 17 (5 + x)
Equation = 17(5+ x) + 14(19) - 5/100 = 648.45 where x = 85
Equation = ( 85x x 3 1/3) + 265 - 19/20 = t
Answer:
The area of trapezoid is 72 cm²
Step-by-step explanation:
Given : A trapezoid with given dimensions.
We have to find the area of trapezoid ABCD.
Consider the given trapezoid ABCD ,
AB = EF = 8 cm
and CE = FD = 4 cm
Then CD = CE + EF + FD = 4 + 8 + 4 = 16 cm
Thus, Area of trapezoid = 
here, height = 6 cm
and sum of parallel sides = AB + CD = 16 + 8 = 24 cm
Thus, Area of trapezoid = 
Simplify, we have,
Area of trapezoid = 72 cm²
Thus, The area of trapezoid is 72 cm²
Answer:
12500
Step-by-step explanation:
25 * 40 = 1000
8% of what = 1000?
8/100 x = 1000
x 12500
Using the Sine rule,

![\begin{gathered} \text{Let A = 14m,} \\ Substituting the variables into the formula,Where the length of the wires are, AP = xm and BP = ym[tex]\begin{gathered} \frac{\sin80^0}{14}=\frac{\sin40^0}{x} \\ \text{Crossmultiply,} \\ x\times\sin 80^0=14\times\sin 40^0 \\ Divide\text{ both sides by }\sin 80^0 \\ x=\frac{14\sin40^0}{\sin80^0} \\ x=9.14m \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BLet%20A%20%3D%2014m%2C%7D%20%5C%5C%20Substituting%20the%20variables%20into%20the%20formula%2C%3Cp%3EWhere%20the%20length%20of%20the%20wires%20are%2C%20AP%20%3D%20xm%20and%20BP%20%3D%20ym%3C%2Fp%3E%5Btex%5D%5Cbegin%7Bgathered%7D%20%5Cfrac%7B%5Csin80%5E0%7D%7B14%7D%3D%5Cfrac%7B%5Csin40%5E0%7D%7Bx%7D%20%5C%5C%20%5Ctext%7BCrossmultiply%2C%7D%20%5C%5C%20x%5Ctimes%5Csin%2080%5E0%3D14%5Ctimes%5Csin%2040%5E0%20%5C%5C%20Divide%5Ctext%7B%20both%20sides%20by%20%7D%5Csin%2080%5E0%20%5C%5C%20x%3D%5Cfrac%7B14%5Csin40%5E0%7D%7B%5Csin80%5E0%7D%20%5C%5C%20x%3D9.14m%20%5Cend%7Bgathered%7D)
Hence, the length of wire AP (x) is 9.14m.
For wire BP (y)m,
Sum of angles in a triangle is 180 degrees,


Using the side rule to find the length of wire BP,

Hence, the length of wire BP (y) is 12.31m
Therefore, the length of the wires are (9.14m and 12.31m).