Answer:
2) 162°, 72°, 108°
3) 144°, 54°, 126°
Step-by-step explanation:
1) Multiply the equation by 2sin(θ) to get an equation that looks like ...
sin(θ) = <some numerical expression>
Use your knowledge of the sines of special angles to find two angles that have this sine value. (The attached table along with the relations discussed below will get you there.)
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2, 3) You need to review the meaning of "supplement".
It is true that ...
sin(θ) = sin(θ+360°),
but it is also true that ...
sin(θ) = sin(180°-θ) . . . . the supplement of the angle
This latter relation is the one applicable to this question.
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Similarly, it is true that ...
cos(θ) = -cos(θ+180°),
but it is also true that ...
cos(θ) = -cos(180°-θ) . . . . the supplement of the angle
As above, it is this latter relation that applies to problems 2 and 3.
Answer:
D
Step-by-step explanation:
Let us assume the initial number of bacteria in the culture = xAfter 1 hour,The number of bacteria = 185x/100 = 1.85xAfter 2 hours,The number of bacteria = (185 * 1.85x)/100 = 3.42xSo3.42x = 12500x = 12500/3.42 = 3654.97 = 3655From the above deduction, we can conclude that the initial number of bacteria in the culture is 3655.
Answer:
LM = 2.82 ft
MN = 2.39 ft
Step-by-step explanation:
We suppose ΔGNF is isosceles and GF bisect ∠NGF, so that GK ⊥ NF
LH // MJ // NK
GL / GH = LM / HJ = MN / JK
11.3 / 10.4 = LM / 2.6 = MN / 2.2
LM = 11.3 / 10.4 x 2.6 = 2.82
MN = 11.3 / 10.4 x 2.2 = 2.39
Answer:
8 ft 8 in
Step-by-step explanation:
104/12 = 8.666...
This shows that there are 8 total feet because there are 12 inches in a foot
Then, multiply 8*12 to get 96 in order to get the remainder of the inches left that do not make up one whole foot.
Then subtract 96 from 104 (104-96) to get the remainder which is 8 inches.
