Answer:
It's correct
Step-by-step explanation:
Good job! arcsin(0.9659) is indeed 75 degrees
Answer:
6048 square inches
Step-by-step explanation:
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>
1. Let hardcover books = X
Paperback books would be 4x -3 ( 3 less than 4 times)
Now you have:
X + 4x-3 = 447
Simplify:
5x - 3 = 447
Add 3 to each side:
5x = 450
Divide both sides by 5:
x = 450/5
x = 90
He has 90 hardcover books.
2. 300 miles / 25 miles per gallon = 12 gallons of gas.
12 gallons x $$ per gallon = $48 dollars
3. Subtract base pay from total:
1916 - 800 = 1,116 worth of commissions.
Divide commissions by percentage:
1116 / 0.09 = $12,400 total sales.
4.
Find the median of the heights: 65-50 = 15. 15/2 = 7.5
Median = 50+7.5 = 57.5
The equation would be |h-57.5| < 7.5
