Step-by-step explanation:
16+5.6+0.681=22.281
Answer: 56.0°
<u>Step-by-step explanation:</u>
Use the Law of Cosines:
b² = a² + c² - 2ac · cos B
20² = 22² + 18² - 2(22)(18) · cos B
400 = 484 + 324 - 792 · cos B
400 = 804 - 792 · cos B
-404 = - 792 · cos B
0.5151 = cos B
cos ⁻¹ (0.5151) = B
55.99 = B
56.0 ≈ B
For the given triangle, the cosine of angle A equals
.
Step-by-step explanation:
Step 1; In the given triangle, the opposite side has a length of 9 units, the adjacent side has a length of 3√3 units while the hypotenuse of the triangle measures 6√3 units. To calculate the cosine of angle A we divide the adjacent side by the hypotenuse side.
cos A =
.
Step 2; Length of the adjacent side = 3√3 units.
Length of the hypotenuse side = 6√3 units.
cos A = 3√3 / 6√3
cos A =
.
To check we also have A = 60° and cos 60° =
.
you start by adding any 2 numbers and then multiplying the sum by 3
Answer:
-27
Step-by-step explanation:
Number be x
Eight added to number: x+8
sum is doubled: 2*(x + 8)
-11 less than number: x -11
2*(x + 8) = x -11
2*x + 2*8 = x - 11
2x + 16 = x - 11
2x - x = -11 -16
x = -27