Answer:
101
Step-by-step explanation:
According to the Law of Cosines, for any △ABC with side lengths a, b, and c, a2=b2+c2−2bccosA; b2=a2+c2−2accosB; and c2=a2+b2−2abcosC
.
The Law of Cosines can be used because all three side lentghs are known.
Set up the equation for the Law of Cosines:
a2=b2+c2−2bccosA
Substitute the known values into the Law of Cosines:
312=222+182−2(22)(18)cosA
Square the values and multiply:
961=484+324−792cosA
Add:
961=808−792cosA
Subtract 808
from both sides:
153=−792cosA
Divide both sides by −792
:
153−792=cosA
According to this equation m∠A
is equal to the inverse cosine function of −153792
. Write this:
m∠A=cos−1(−153792)
Calculate the value of the inverse cosine −153792
on a calculator:
m∠A≈101°
Therefore, m∠A≈101°
.
The equation is 2(n)-4=18.
Answer:
142.24cm
Step-by-step explanation:
If 100 inches = 254cm then if you do 254/100 you will get how many cm are in an inch. 254/100 = 2.54
This means there are 2.54 cm in an inch. Multiply 2.54cm by 56 inches and you get how many cm are in 56 inches which is 142.24cm. This means Elena is 142.24 cm tall.
Answer:
48 inches
Step-by-step explanation:
38+10=48
48 inches
Answer:
greatest number of people: 6760
lowest number of people: 6240
Step-by-step explanation:
4% of 6500 is 260
6500 + 260 = 6760
6500 - 260 = 6240
