Answer:
see explanation
Step-by-step explanation:
Using the Cosine rule
a² = b² + c² - 2abcosA ← Rearranging for cosA gives
cosA = 
(a)
let a = 10, b = 7, c = 8 and A = α, then
cosα = 
= 
= 
, thus
α = 
( ) ≈ 83° ( to the nearest degree )
(b)
let the angle opposite side 7 be x
Using the Sine rule
= 
( cross- multiply )
10sinx = 7sin83 ( divide both sides by 10 )
sinx = 
, thus
x = 
( ) = 44°
The third angle can be found using the sum of angles in a triangle
third angle = 180° - (83 + 44)° = 180° - 127° = 53°
The 3 angles are 83°, 44°, 53°
Answer: B) 1/6•3=1/2
Step-by-step explanation:
quotient means division
which means 1/2 / 3
which equals 1/6
This is the only equation with 1/2, 3, and 1/6
Answer:
48.80
Step-by-step explanation:
if that doesnt work round it and it should be right
Answer:
D 5
Step-by-step explanation:
the same scaling factor s applies to all sides when transforming from the small to the large triangle.
x×s = x + 5
(x-2)×s = x +1
=> s = (x+5)/x
=> (x-2)×(x+5)/x = x + 1
=> x² + 3x - 10 = x² + x
=> 3x - 10 = x
=> 2x = 10
=> x = 5
Answer:
$1.165
Step-by-step explanation:
$6.99/6 slices = 1.165
