Question 5: 10 pts Write a with magnitude 10 and direction 42° in component form. Round to the nearest tenth.

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

both equations and proportions are better.

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!