Answer:
b. 4.9 × 1011
Step-by-step explanation:
Using scientific notation is similar to expressing in standard form. Given that (7 × 105)2
We open the parenthesis. This may first be expressed as
7² × 10⁽⁵⁾²
Then expand,
= 49 × 10¹⁰
To put in scientific notation, 49 = 4.9 × 10
Hence the expression becomes
= 4.9 × 10 × 10¹⁰
Using the laws of indices
= 4.9 × 10¹¹ in scientific notation
H. 11/40 is the answer.
Showing your work: Total number of players is 80. 22 play Speed Karts. 22/80 simplified by dividing by 2 is 11/40.
The answer:
cot(theta)=1.5, to find theta, cot(theta)=1.5 implies theta= arc cot (1.5)
but we kknow that cot(theta) = 1 / tan(theta), this implies
1 / tan(theta) =1.5, and tan(theta) = 1 / 1.5 = 0.6
and theta is in quadrant 3, costheta and sintheta are negatives
so tan(theta) is positive,
tan(theta) = 0.6, therefore, (theta) = arctan ( 0.6)= 30.9°
finally (theta) = 30.9°
