Answer:
cos 120° = -1/2
Step-by-step explanation:
cos 120° = (adjacent side) / (hypotenuse.
Here the adjacent side (the side next to the central angle in this 30-60-90 triangle) is -1. Then the hypotenuse is 2 and the opposite side is √3.
Thus, cos 120° = -1/2
A. 14 (7x2=14)
b. 8 (8x3=24)
c. 11 (no other numbers except 1 and 11 multiply to get 11)
Answer:
120 ways.
Step-by-step explanation:
From the given information:
Total number of roads leading from Bluffton to Hardeeville = 4
Total number of roads leading from Hardeeville to Savannah = 6
Total number of roads leading from Savannah to Macon = 5
We need to find the total number of ways to get from Bluffton to Macon.
Total number of ways to get from Bluffton to Macon = 
Therefore, there are 120 required number of ways to get from Bluffton to Macon.
Answer:
Karl works 7 hours a week
Step-by-step explanation:
Step 1: Determine total amount that Sally earns
Total amount Sally earns=rate per hour×number of hours worked(h)
where;
Rate per hour=$7 per hour
Number of hours worked=h
Replacing;
Total amount Sally earns=(7×h)=7 h
Step 2: Determine total amount Karl earns
Total amount Karl earns=rate per hour×number of hours worked
where;
rate per hour=$5
number of hours worked=2 more than Sally=h+2
replacing;
Total amount Karl earns=5(h+2)
Step 3: Equate Sally's total earnings to Karl's total earnings and solve for h
7 h=5(h+2)
7 h=5 h+10
7 h-5 h=10
2 h=10
h=10/2
h=5
Karl works (h+2) hours=(5+2)= 7 hours
Karl works 7 hours a week
No because when -4 is substituted in for n the answer is 37 so it is not true
