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:
Your answer would be x+y=531 and y=2x
Step-by-step explanation:
We know that Nancy bought 531 shirts and that some are long sleeved and some are short sleeved. Since x represents the long sleeved shirts and y represents the short sleeved shirts, x+y=531. We also know that there are twice as many short sleeved shirts as long sleeved shirts. So, y=2x.
Answer:
<h2>Her father, Ramlal was the Numberdar of his village. Ramlal had seven children — three sons and four daughters; He was quite prosperous; he was quite traditional in his outlook. He sent his son to city for higher education; but he arranged for his daughters when they were quite young.</h2>
1 meter = 100 centimetres
3.2 meter = 3.2 x 100 = 320 centimetres
1 centimetre = 10 millimetres
320 cm = 320 × 10 = 3200 millimetres
Answer : 3200 millimeters
Answer + explanation:
1. Writing the function
You know that for every mile it costs 40 cents, or 0.4 dollars, so you can write this as 0.4m.
You also know that there is an initial fare of 2.5, so you add that.
Then you have F = 0.4m + 2.5
2. Find the better choice
Since she has to travel 5 miles, you can plug m = 5 into the function to see the cost:
F = 0.4 * 5 + 2.5
F = 2 + 2.5
F = 4.5 or $4.50
Since $4.50 < $8.00, you know that the cab would be the cheaper and better option.
