Answer:
x = 8
Step-by-step explanation:
6 = 14 - x
chance the equation around so it is solvable
14 - x = 6
14 - 6 = x
now solve
14 - 6 = 8
that means x equals 8 so
6 = 14 - 8
value of x should be 3.2 units
Answered by Gauthmath must click thanks and mark brainliest
Answer:
C. 40.2°
Step-by-step explanation:
Cosine rule (real handy to remember): c² = a² + b² - 2·a·b·cos(γ)
If you don't know this yet, look it up but in short: c, a and b are the lengths of the sides of the triangle, the angle opposite side a is called α, for b it is β and for c it is γ. That's the convention I've always used anyway, you can call them whatever of course. Anyhow:
c² = a² + b² - 2·a·b·cos(γ)
⇒ |AC|² = |AB|²+|BC|²-2·|AB|·|BC|·cos(∠B)
⇒ |AC|²-|AB|²-|BC|² = -2·|AB|·|BC|·cos(∠B)
⇒ ( |AC|²-|AB|²-|BC|² ) / ( -2·|AB|·|BC| ) = cos(∠B)
⇒ ∠B = arccos( ( |AC|²-|AB|²-|BC|² ) / ( -2·|AB|·|BC| ) )
= arccos( ( 11²-16²-16² ) / ( -2·16·16 ) )
= 40.21101958°
≈ 40.2°
Answer:
95
Step-by-step explanation:
Use the mean formula: mean = sum of elements / number of elements
Plug in the mean and number of elements, then solve for the sum of the numbers:
mean = sum of elements / number of elements
19 = sum of elements / 5
95 = sum of elements
So, the sum of the numbers is 95.
