Question 4
The magnitude;
Using Pythagoras theorem,
(-200)² + (-530)² = 320900
Length = √320900
= 566.5 mi
To get the angle
Tan θ = opposite/adjacent
= 200/530
= 0.3774
θ = tan^-1 (0.3774)
= 20.67
≈ 21°
The direction from the Cartesian plane is south of west.
Therefore, the magnitude and the direction will be;
About 566.5 mi, 21° south of west
Question 5.
To get the resultant of two vectors we just add the two vectors given.
This involves adding the corresponding values.
Thus, for <-6,5> and <6,-5>
Resultant vector = <(-6+6),(5+-5>
= <0,0>
Answer:
Table 1,
1 16
2 8
3 4
4 2
Step-by-step explanation
The equation for this function can be written as
y = 16^1/x
This is exponential decay.
Answer: 3.99797217..
Step-by-step explanation:
formula for the circumference is pi x diameter
divide circumference by pi
25.12/pi = 7.9959443...
divide that by two to get the radius which would be 3.997972...
Answer:
<u>The probability of winning three games in a row is 1/64 or 1.6%</u>
Step-by-step explanation:
Probability of winning a game = 1/4
Probability of winning two games in a row = 1/4 * 1/4 = 1/16
Probability of winning three games in a row = 1/4 * 1/4 * 1/4 = 1/64
Probability of winning three games in a row = (1/4)³ = 1/64
1/64 = 0.015625
1/64 = 1.6% (rounding to the next tenth)
