Answer:
Below.
Step-by-step explanation:
a. Φ^2 − Φ − 1 = 0
Φ2 − Φ = 1
(Φ - 0.5)^2 - 0.25 = 1
(Φ - 0.5)^2 = 1.25
Φ - 0.5 = √(1.25) (We only take the positive root).
Φ = 0.5 + √(1.25)
b. I used Completing the square.
c. Φ is irrational That is it cannot be represented as a fraction a/b and because of this it can only be approximated by a decimal.
Answer:
Step-by-step explanation:
first runs n+1 laps
and second runs n laps in the same time.
so (n+1)8=10n
10n=8n+8
10n-8n=8
2n=8
n=8/2=4
one lap=1 mile
4 laps=4 miles
4+1=5 laps=5 miles.
first runs 5 miles whereas second runs=4 miles.
60,000,000,000 in scientific notation is 6 x 10^10 so you move the decimal 10 times.
<span>215,212,736
Round by 10,000 is 215,210,000</span>
