The Law of Cosines is $c^2=a^2+b^2-2ab cos(C)$ , where c is the unknown side length of a triangle, a and b are the remaining two side lengths, and C is the angle opposite to side c. To answer this question just plug in the known values:

$m^2=21^2+12^2-2(21)(12) cos(62)$

Simplify:

$m^2=441+144-504 cos(62)$

$m^2=585-504 cos(62)$

$m=\sqrt{585-504cos(62)}$

m≈18.665...

When rounded to the nearest tenth, m=18.7

6 0

3 years ago

A bag has 4 green marbles and 8 red marbles. Half of the red marbles are made of plastic. A marble is selected at random from th

cupoosta [38]

I believe it is 4/12 since you have a total of 12 marbles and only 4 are red plastic ones

4 0

3 years ago

Please help me!!! will mark brainliest if you do

Vesnalui [34]

9514 1404 393

Answer:

17. 5

18. 17

Step-by-step explanation:

The distance formula is used for the purpose.

d = √((x2 -x1)² +(y2 -y1)²)

17. d = √((3-6)² +(1-5)²) = √((-3)² +(-4)²) = √(9+16) = √25 = 5

The distance between the points is 5 units.

18. d = √((-1-7)² +(12-(-3))²) = √(64 +225) = √289 = 17

The distance between the points is 17 units.

4 0

3 years ago

What is the solution set of 4x^2+3=4x+2

jeka94

Answer:

— = X

Step-by-step explanation:

4 0

3 years ago