Step-by-step explanation:
in such a case, where we have all the sides and need angles, the best tool is the extended Pythagoras (for general triangles and not just for right-angled ones) :
c² = a² + b² - 2ab×cos(C)
c is the side opposite of angle C.
the side opposite of B is CA.
so, we have
220² = 100² + 160² - 2×100×160×cos(B)
48,400 = 10,000 + 25,600 - 32,000×cos(B)
12,800 = -32,000×cos(B)
cos(B) = -12,800/32,000 = -0.4
B = 113.5781785...° ≈ 114°
Answer:
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Answer:
1.-
2.-2x
Step-by-step explanation:
It moves the line on the X axis to a different spot when moved
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Answer:
d = 0.666t , where d is in miles and t is in minutes.
d = 39.94h, where d is in miles and h is in hours.
Step-by-step explanation:
A car travels
miles in
minutes at a constant speed.
Let the relation between the distance (d) traveled by car in miles after traveling t minutes is d = kt ......... (1)
Now, putting d = 2.33 miles and t = 3.5 minutes in the above equation we get,
2.33 = 3.5k
⇒ k = 0.666 (Approx.)
So, the equation (1) becomes d = 0.666t. (Answer)
Let us assume that the relation between the distance (D) traveled by car in miles after traveling h hours is d = Kh ............ (2)
Now, putting D = 2.33 miles and T = 3.5/60 = 0.058 hours in the above equation, we get
2.33 = 0.058K
⇒ K = 39.94
So, the equation (2) we get, d = 39.94h (Answer)