Answer:
a(9) = 150*(0.4)^8 = 0.098304
Step-by-step explanation:
This is a geometric sequence, because each new term is 0.4 times the previous term.
The general formula for a geometric sequence is a(n) = a(1)*r^(n - 1). Here, with a(1) = 150 and r = 0.4, we have:
a(n) = 150*(0.4)^(n - 1), and so
a(9) = 150*(0.4)^8 = 0.098304
This problem can be answered through the Alternate interior
angle theorem. The theorem states that if two parallel lines are cut by a
transversal, then the pairs of alternate interior angles are matching or congruent.
So therefore, m ∠5 = m∠2, the answer is 31.
There’s no x value and there’s no y value so your slope will be 0.
If you are adding the fractions themselves it would be 9/17. If the /'s are for division it's 0.53
Let width=x m
so length=3x-7
Since area =66m^2
L×B=66
(3x-7)×x=66
3x^2-7x=66
3x^2-7x-66=0
3x^2-(18-11)x-66=0
3x^2-18x+11x-66=0
3x(x-6)+11(x-6)=0
So (x-6)(3x-6)=0
So x=2 and x=6
If x=2
Width=2
Length=2×3-7=-1
So this value of x does not exist because length cannot be negative
So x=6m
Width=6m
length=3×6-7=11m