Answers:
- sin(G) = 3/5
- cos(G) = 4/5
- tan(G) = 3/4
- csc(G) = 5/3
- sec(G) = 5/4
- cot(G) = 4/3
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Explanation:
For a right triangle, the sine of a reference angle is equal to the opposite over hypotenuse.
sin(angle) = opposite/hypotenuse
cosine involves adjacent over hypotenuse
cos(angle) = adjacent/hypotenuse
tangent involves opposite over adjacent
tan(angle) = opposite/hypotenuse
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In short, we have this list so far
- sin(angle) = opposite/hypotenuse
- cos(angle) = adjacent/hypotenuse
- tan(angle) = opposite/hypotenuse
The other three trig functions are reciprocals of these first three. Cosecant is the reciprocal of sine, secant is the reciprocal of cosine, and cotangent is the reciprocal of tangent.
Meaning, the other three trig ratios are
- csc(angle) = hypotenuse/opposite
- sec(angle) = hypotenuse/adjacent
- cot(angle) = adjacent/opposite
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So,
- sin(G) = opposite/hypotenuse = FH/FG = 24/40 = 3/5
- cos(G) = adjacent/hypotenuse = GH/FG = 32/40 = 4/5
- tan(G) = opposite/adjacent = FH/GH = 24/32 = 3/4
and
- csc(G) = hypotenuse/opposite = FG/FH = 40/24 = 5/3
- sec(G) = hypotenuse/adjacent = FG/GH = 40/32 = 5/4
- cot(G) = adjacent/opposite = GH/FH = 32/24 = 4/3
Answer:123445
Step-by-step explanation: sorry I need to answer a question to get a free answer so sorry
Answer:
y = (0, 1, 32, 243, 1024, 3125)
9514 1404 393
Answer:
$562,500 per hour
Step-by-step explanation:
The cost will be a minimum where C'(x) = 0.
C'(x) = 0.56x -0.7 = 0
x = 0.7/0.56 = 1.25
The cost at that production point is ...
C(1.25) = (0.28×1.25 -0.7)1.25 +1 = -0.35×1.25 +1 = 0.5625
The minimum production cost is $562,500 per hour for production of 1250 items per hour.
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<em>Additional comment</em>
This is different than the minimum cost <em>per item</em>. This level of production gives a per-item cost of $450. The minimum cost per item is $358.30 at a production level of 1890 per hour.
Answer:
x = 9
Step-by-step explanation:
If ΔMNO ≅ ΔPST, their corresponding sides must also be ≅(congruent).
NO is corresponds to TS, thus sides NO and side TS are ≅.
=> 20 = 3x - 7
=> 3x = 27
=> x = 9