Answer:
an = -18 +11(n -1)
Step-by-step explanation:
We notice that the first term (a1) is -18, and the common difference (d) is -7-(-18) = 11. Filling these values into the form for the explicit formula gives ...
an = a1 +d(n -1)
an = -18 +11(n -1)
Answer:
y²-2y+3
Step-by-step explanation:
We write the dividend, y³-y²+y+3, under the box and the divisor, y+1, to the left of the box.
We first divide y³ by y; this is y². We write this above the box, over -y². We multiply the divisor by y²:
y²(y+1) = y³+y²
This goes under the divisor. We then subtract:
(y³-y²)-(y³+y²) = -2y². We then bring down the next term, y; this gives us -2y²+y.
We then divide -2y² by y; this is -2y. This goes above the box beside the y² in the quotient. We then multiply the divisor by -2y:
-2y(y+1) = -2y²-2y
We now subtract:
(-2y²+y)-(-2y²-2y) = 3y. We bring down the last term, 3; this gives us 3y+3. We divide 3y by y; this is 3. This goes beside the -2y in the quotient. We then multiply this by the divisor:
3(y+1) = 3y+3. We then subtract: (3y+3)-(3y+3) = 0
This makes the quotient y²-2y+3.
SOLUTION:
= 55° + 54° + x + 74°
= x + 183°
There is no answer to this expression.
You can use the sin function to solve this.
Think of a triangle with the conveyor being the longest side (hypotenuse). The height (the vertical side) is H=17m. The angle of elevation is a=36.2. We are looking for length of the hypotenuse, L.
The sin is the ratio of height to hypotenuse: sin(36.2) = H/L = 17/L
Now solve for L:
L = 17/sin(36.2) = 17m/0.59 = 28.78m
The conveyor needs to be approx. 28.8m long to get close to the max. efficient angle.