The centroid divides the median into a 2:1 ratio. So, 9x-9=4x+16. We solve and get x=5. Therefore, OB is 36, and BE is half, 18.
The first 3 terms are a, ar and ar^2
so a + ar + ar^2 = 7a
a + ar + ar^2 + ar^3 = 45
7a + ar^3 = 45
a(7 + r^3) = 45
a = 45/(7 + r^3)
Because we know the sequence are positive integers r must be a natural number.
(7 + r^3) is a factor of 45 [ie 1, 3, 5, 9, 15, 45]
so r = 2 because 7 + 2^3 = 15 is the only factor possible
a = 45/15 = 3
Answer:
21
Step-by-step explanation:
use PEMDAS
multiplication first
120-20×5+1 =
120-100+1=
20+1= 21
Solution:
<u>Note that:</u>
- Area of triangle = 6 3/8 yd²
- Height of triangle = 2 1/2
- Area of triangle = 1/2 x base x altitude
<u>Use the formula to find the base of the triangle.</u>
- 1/2 x base x altitude = 6 3/8 yd²
- => 1/2 x base x 2 1/2 = 6 3/8 yd²
- => 1/2 x base x 5/2 = 6 3/8 yd²
- => 5/4 x base = 6 3/8 yd²
- => base = 6 3/8 ÷ 5/4 yd
- => base = 51/8 x 4/5 yd
- => base = 51/2 x 1/5 yd
- => base = 51/10 yd
The length of the base is 51/10 yards.
