1 + 3 = Δ + 3
By comparing
Δ = 1.
Option A.
Answer:
= 96
Step-by-step explanation:
The n th term of a geometric sequence is
= a
where a is the first term and r the common ratio.
Both values have to be found.
Using
a₂ = - 144, then
ar = - 144 → (1)
a₅ = 486, then
a
= 486 → (2)
Divide (2) by (1)
= 
r³ = - 3.375 ( take the cube root of both sides )
r = - 1.5
Substitute r = - 1.5 into (1)
- 1.5a = - 144 ( divide both sides by - 1.5 )
a = 96
Hence explicit formula is
= 96
Answer:
area= 1/2*(h*b) h- height, b- base
the triangle is isosceles (denoted by the 2 dashes on the sides of the triangle)
so they are equal in length
angles in triangle = 180
so 38+38=76
180-76=104
base=24
divide the triangle in the center
so now triangle 1(left) the base = 12
and triangle 2(right) the base = 12
use trigonometric ratios
in this we need to find the height
which is opposite of 38,
we already have the adjacent =12
so the ratio is Tan (Tangent Opposite/Adjacent)(TOA)
Tan38= (12/h)
multiply by h
h*Tan38=12
h=12/tan38 = 15.35929959