triangle JKM with side j across from angle J, side k across from angle K, and side m across from angle M If ∠K measures 110°, ∠J equals 36°, and k is 70 feet, then find j using the Law of Sines. Round your answer to the nearest tenth.

43.8 feet

Step-by-step explanation:

Given the triangle JKM

We are given the following values:

If ∠K measures 110°, ∠J equals 36°, and k is 70 feet, then find j

The formula for the Law of Sines =

j/sin J = k/sin K

j/ sin 36° = 70/ sin 110

Cross Multiply

j × sin 110° = sin 36° × 70

j = sin 36° × 70/ sin 110

j = 43.78556 feet

Approximately j to the nearest tenth = 43.8 feet

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.