Answer:
80°
Step-by-step explanation:
According to angles rule,
100° + x = 180° [linear pair]
=> x = 180°-100°
=> <u>x</u><u> </u><u>=</u><u> </u><u>80</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
Given:
Rectangular coordinate = (8, 6)
To convert:
Rectangular coordinate to polar coordinate with r > 0 and 0 ≤ θ < 2π.
Solution:
Let us find r:
r = 10
Now, find θ:
Cancel the common factor 2.
θ = 36.87°
The polar coordinates are (r, θ) = (10, 36.87°).
Answer:
5/6
Step-by-step explanation:
4/9 , 2/3, 1/6, ....-2 1/2 = - 5/2
common denominator is 18
Answer:
t = 8.31 years
Step-by-step explanation:
This is compound growth with a growth rate of 5%, initial count of 600 and final count of 900.
The appropriate equation is P = Po (1 + 0.05)^t, where t represents the number of years required for the population to reach P:
900 = 600 (1.05)^t. Let's solve this for t:
Dividing both sides by 600, we get 900/600 = 1.05^5, or
1.5 = 1.05^t.
To solve for t, take the log of both sides:
ln 1.5 = t*ln 1.05, or
t = (ln 1.5) / (ln 1.05)
This evaluates to t = 8.31 years.
