Answer:
x = 5.57
Step-by-step explanation:
c² = a² + b² − 2ab cos C
x² = 10² + 6² − 2(10)(6) cos 29°
x = 5.57
Your answer and steps are correct.
Answer:
270 in²
Step-by-step explanation:
The area of a parallelogram is given by the formula A = bh.
The base of the parallelogram is 9+9 = 18 inches.
The height of the parallelogram is 15 inches.
This makes the area 15(18) = 270 in²
You remember from SOH CAH TOA that
.. Cos = Adjacent/Hypotenuse
.. cos(C) = 80/82 = 40/41 . . . . . . . . . . . seems to match the last selection
Answer:
5
Step-by-step explanation:
9x+6y=-3
9x+6(-8)=-3
9x-48=-3
9x=45
x=5
Answer:
third side = 9
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the third side be x, then
x² + 40² = 41², that is
x² + 1600 = 1681 ( subtract 1600 from both sides )
x² = 81 ( take the square root of both sides )
x =
= 9
The third side is 9