Answer:
k=10
Step-by-step explanation:
4k + 12= 52
minus 12 on both sides
4k=40
now divide by 4
k=10
54, 36, 24 are the 1st 3 element of a geometric progression with 2/3 as a common ratio: PROOF:
the 1st term is 54, (a₁= 54) the 2nd term a₂ = 24, then
(a₂ = a₁.r) or 36 = 54.r → r= 36/54 = 2/3. Same logique for the 3rd term.
So 2/3 is common ratio. We know that :U(n) = a.(r)ⁿ⁻¹. Then if a =54 and r = x (given by the problem), then f(x) = 54.xⁿ⁻¹
n, being the rank of any element of this geometric progression
Answer:
m=4
Step-by-step explanation:
-5m=-20
m= - 20/-5
m=4
Using the Pythagorean theorem:
Hypotenuse = sqrt( 20^2 + 15^2)
Hypotenuse = sqrt( 400 + 225)
Hypotenuse = sqrt(625)
Hypotenuse = 25
Answer: 25 inches
1. BC = 9 tan 45 = 9 ft
AC = 9 tan 60 = 9 sqrt(3) ft
AB = AC - BC = 9sqrt3 - 9 ft ~ 6.59 ft
2. G-Zoo = 200sqrt3 / tan 60 = 200 ft
G-Library = 200sqrt3 / tan 30 = 600 ft
Zoo-Library = G-Library - G-Zoo = 600 - 200 = 400 ft