Step-by-step explanation:
since it is right-angled, first of all Pythagoras :
c² = a² + b²
c being the Hypotenuse (the side opposite of the 90 degree angle).
so,
8.3² = 8² + HI²
HI² = 8.3² - 8²
HI = sqrt(8.3² - 8²) = sqrt(68.89 - 64) = sqrt(4.89)
alternative : the law of sine
a/sin(A) = b/sin(B) = c/sin(C)
with the sides are always opposite of the associated angles.
angle G = 180 - 90 - 75 = 15° (as the sum of all angles in a triangle is always 180°).
so,
8.3/sin(90) = 8.3/1 = HI/sin(15)
HI = 8.3 × sin(15)
another alternative would be the extended Pythagoras for non-right-angled situations. like making HI the baseline, although the opposing angles G is not 90°.
c² = a² + b² - 2ab×cos(C)
C being the angle opposite of c.
HI² = 8.3² + 8² - 2×8.3×8×cos(15) = 132.89 - 132.8×cos(15)
HI = sqrt(132.89 - 132.8×cos(15))
Answer:28 bags with 17 cents left over
Step-by-step explanation: First, subtract the amount of 37.85 from what he started out with, 52.02. You should get 14.17.
Then, if we have 14 whole dollars and the bags each cost 50 cents, then we can just multiply 14 by 2, since each dollar equals 50 cents times 2.
EX: $1=50 cents x2. So 14 dollars x2 would be like saying the first amount 50 cents doubled. You should get 28 bags, with 17 cents left over :). Let me know if this makes sense! I really hope this helps you.
The answer to this problem is $4.90
1 ton, in the US, that is