Find the missing side or angle. Round to the nearest tenth.
7
B = 20°
a=120
c=110
b=[ ? ]
Enter

9514 1404 393

  41.1

Step-by-step explanation:

A triangle solver can do this nicely. b ≈ 41.1

__

You can use the law of cosines for the purpose.

  b² = a² +c² -2ac·cos(B)

  b² = 120² +110² -2(120)(110)·cos(20°) ≈ 1692.1148

  b ≈ √1692.1148 ≈ 41.13532

The missing side is b ≈ 41.1 units.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.