Answer:
i = 75.7°
h = 48.2°
Step-by-step explanation:
==>To find i, use the sine rule for finding angles: sin(A)/a = sin(B)/b
Where,
a = 7.2cm
sin(A) = i
b = 6.5cm
sin(B) = sin(61) = 0.8746
Thus:
sin(A)/7.2 = 0.8746/6.5
Multiply both sides by 7.2
sin(A) = (0.8746*7.2)/6.5
sin(A) = 0.969 (3 s.f)
A = i° = sin^-1(0.969) = 75.7 (3 s.f)
==>To find h, use the Cosine rule for angles:
Cos(C) = (a²+b²-c²)/2ab
cos(C) = h°, a = 4, b = 4.5, c = 3.5
a² = 16
b² = 20.25
c² = 12.25
cos(C) = (16+20.25-12.25)/(2*4*4.5)
cos(C) = 24/36
cos(C) = 0.667 (3 s.f)
C = h° = cos^-1(0.667) = 48.2° (3 s.f)
255/56 = 4.55....
You can't have 0.55... buses so you round that up to 1.
Therefore 4+1 = 5 so 5 buses would be the minimum.
Answer:
$125
Step-by-step explanation:
With a 20% off coupon, the price you pay is 80% of the marked price. If that amount is $100, you have ...
$100 = 0.80p
p = $100/0.80 = $125
The maximum price of the shoes you can buy is $125.
_____
<em>Check</em>
20% of $125 is -.20×$125 = $25. When that is subtracted, the price you pay is ...
$125 -25 = $100
14 feet is 168 inches. To get this, I knew that there were 12 inches in one foot. If there are 14 feet, you will have to multiply 14 by 12. The answer, therefore, is 168 inches!
I hoped this helped you!
Answer:
0.6
Step-by-step explanation: