Step-by-step explanation:
Tn = a + (n - 1) d
Where
Tn is the nth term of the sequence
a is the first term of the sequence
n is the number/term of the sequence to be solved
d is the common difference
By the Pythagorean theorem,
.. x^2 +(x -46)^2 = (x +4)^2
.. 2x^2 -92x +2116 = x^2 +8x +16
.. x^2 -100x +2100 = 0
.. (x -50)^2 -400 = 0
.. x = 50 ±20 . . . . . only x=70 makes any sense in the problem
The height, x, of the tree is 70 meters.
Answer:
3:4
Step-by-step explanation:
The original ratio between the red and green crayons would be 18:24, but you would need to simplify that to reach your definite simplified answer. Doing this, you find the least common factor between 18 and 24 which is 3 for 18 and 4 for 24.
Answer:
9990 years
Step-by-step explanation:
The exponential function with given values filled in can be solved for the unknown using logarithms.
__
Q(t) = 12 = 36e^(-0.00011t)
1/3 = e^(-0.00011t) . . . . . . divide by 36
ln(1/3) = -0.00011t . . . . . . take natural logs
t = ln(1/3)/(-0.00011) . . . . divide by the coefficient of t
t ≈ 9990 . . . years
