Answer:
19th term = ar^18
19th term = 774,840,978
Step-by-step explanation:
First term, a = 2
Common ratio, r = 3
nth term of a geometric sequence = ar^(n-1)
19th term = ar^(19-1)
19th term = ar^18
= 2 × 3^18
= 2 × 387,420,489
= 774,840,978
19th term = 774,840,978
Answer:

Step-by-step explanation:
<u>Given Data:</u>
Base area =
= 108 in.²
Volume = V = 729 in.³
<u>Required:</u>
Height = h = ?
<u>Formula:</u>

<u>Solution:</u>
For h, rearranging formula:
![\displaystyle h = \frac{V}{A_{B}} \\\\h =\frac{729 \ in.^3}{108 \ in.^2} \\\\h = 6.75 \ in.\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20h%20%3D%20%5Cfrac%7BV%7D%7BA_%7BB%7D%7D%20%5C%5C%5C%5Ch%20%3D%5Cfrac%7B729%20%5C%20in.%5E3%7D%7B108%20%5C%20in.%5E2%7D%20%5C%5C%5C%5Ch%20%3D%206.75%20%5C%20in.%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
B. 2 I believe that’s right
First find the equation of y.

Find the slope m.
.
Pick one point, I'll pick (-3, 9). Insert coordinates in equation then compute n.
.
The equation of a line y is:
.
The perpendicular line
is same like the normal line except its slope m becomes:
.
The equation of a perpendicular bisector is thus:
.
Hope this helps.
Answer:
k = 73
Step-by-step explanation:
The sum of all the angles in a triangle is 180 degrees.
62
° + k + 45
° = 180
Solve the equation for k
Add 62
° and 45
°
k + 107 = 180
Move all terms not containing C to the right side of the equation.
Subtract 107 from both sides of the equation.
k = 180 − 107
Subtract
k = 73