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°
P(t) = 451400*0.968^t . . . . . models the population after t years.
_____
The multiplier from one year to the next is (1 -3.2%) = (1 -.032) = 0.968.
Answer:
Where does the graph of the line y = x - 2 intersect the x-axis?
O A. (0, 2)
O B. (2,0)
O C. (0, -2)
0 D. (-2, 0)
C. ( 0 , -2 )
Step-by-step explanation:
I hope this helps
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Answer:
Ans: H and A
Step-by-step explanation:
By the identity:
1-(cos(x))
Ans: H
For second quesiton, the transformation of a graph is that:
f(x) + k means vertical translation up by k units
Two curve have the same maximum value, so the graph doesn't translate upwards or downwards, thus b=0
Ans: A
Answer:
B
Step-by-step explanation:
You can just move upper y equation and it will be:
6x+3(3x-5)=15
6x+9x-15=15
15x-15=15
15x=30
x=2