Answer:
6.7i + 7.4j
Step-by-step explanation:
if the angle starts from the East (direction of positive x-axis)
then the y (j) component is 10*sin(42) = 6.7
and x (i) component is 10*cos(42) = 7.4
Answer:

Step-by-step explanation:
Given



Required
Solve for A
Simply substitute 18 for b and 30 for h



Hence:
The area is

Answer:
88
Step-by-step explanation:
Write the expression for the sum in the relation you want.
Sn = u1(r^n -1)/(r -1) = 2.1(1.06^n -1)/(1.06 -1)
Sn = (2.1/0.06)(1.06^n -1) = 35(1.06^n -1)
The relation we want is ...
Sn > 5543
35(1.06^n -1) > 5543 . . . . substitute for Sn
1.06^n -1 > 5543/35 . . . . divide by 35
1.06^n > 5578/35 . . . . . . add 1
n·log(1.06) > log(5578/35) . . . take the log
n > 87.03 . . . . . . . . . . . . . . divide by the coefficient of n
The least value of n such that Sn > 5543 is 88.
To find miles per hour you divide the number of miles by the number of hours
(7 1/2)/(3/8) = (15/2)(8/3) = 20 mph