Answer:
12). LM = 37.1 units
13). c = 4.6 mi
Step-by-step explanation:
12). LM² = 23² + 20² - 2(23)(20)cos(119)°
LM² = 529 + 400 - 920cos(119)°
LM² = 929 - 920cos(119)°
LM = 
= 
= 37.08
≈ 37.1 units
13). c² = 5.4² + 3.6² - 2(5.4)(3.6)cos(58)°
c² = 29.16 + 12.96 - 38.88cos(58)°
c² = 42.12 - 38.88cos(58)°
c = 
c = 
c = 4.6386
c ≈ 4.6 mi
k = 
using the ' laws of logarithms '
log x - log y = log (
)
logx = logy ↔ x = y
logk - log(k - 2) = log5
log (
=log 5
= 5
5(k - 2) = k
5k - 10 = k
4k = 10 ⇒ k =
= 
Answer:
Step-by-step explanation:
The translation to a math expression is ...
<em>The sum of a number and 5 is negative 28.</em>
x + 5 = -28
Subtract 5 from both sides of the equation:
x + 5 - 5 = -28 -5
x = -33
The number is negative 33.