Given:
Triangle LJK.
LJ = 89 in, LK = 28 in and m∠L = 42°
To find:
The length of missing side JK.
Solution:
LJ = k = 89
LK = j = 28
JK = l = ?
Using law of cosine:

Substitute the given values.





Taking square root on both sides.

The length of the missing side is 70.7 in.
Answer:
B, $35.20
Step-by-step explanation:
32 increase 10% =
32 × (1 + 10%) = 32 × (1 + 0.1) = 35.2
Answer:
Mr.Walters car can go 15 miles on one gallon of gas.
Step-by-step explanation:
To find this, you first want to put it into a ratio.
480:32
Next, you want to divide.
480/32
After you divide, you get 15. That tells you that you get 15 miles off of one gallon of gas.
36 x 3/9.
3/9 = 0.33
0.33 x 36 = 12
9514 1404 393
Answer:
Step-by-step explanation:
Let x represent the amount invested at 14%. Then 5000-x is the amount invested at 9%. The interest earned is ...
(14%)x +(9%)(5000 -x) = 460
0.05x +450 = 460 . . . . . . . . . . simplify
0.05x = 10 . . . . . . . . . . . . . . subtract 450
x = 200 . . . . . . . . . . . . . . divide by 0.05
5000-x = 5000-200 = 4800
$200 was invested at 14%; $4800 was invested at 9%.