Answer:
Tan E = 2 / 7.75
Sin G = 7.75 / 8
Sec G = 4
Step-by-step explanation:
Find the attached document for better illustration of the triangle
Assuming the hypothenus of the triangle is 8 = EG since it's the longest side of the triangle.
FG = 2 = opposite side of the triangle.
We can use pythagorean theorem to find the adjacent of the triangle since we already know two sides.
EG² = FG² + EF²
EF² = EG² - FG²
EF² = 8² - 2²
EF² = 64 - 4
EF² = 60
EF = √(60)
EF = 7.7459 = 7.75
To find the respective trignometric ratio, we can use the relation SOH CAH TOA
Sine = opposite / hypothenus
Cosine = adjacent/ hypothenus
Tangent = opposite/ adjacent
A. tan E
Tan E = opposite/ adjacent
Tan E = 2 / 7.75
Tan E = 0.2580
B. Sin G = opposite / hypothenus
Sin G = 7.75 / 8
Sin G = 0.9687
C. Sec G = 1 / cos G
Cos G = adjacent / hypothenus
Sec G = 1 / (adjacent / hypothenus)
Sec G = hypothenus/ adjacent
Sec G = 8 / 2
Sec G = 4
Answer:
100
Step-by-step explanation:
In economics, for a firm to earn optimum profits, it is important that it achieves a long run equilibrium. We can transfer the same to the case here that for the club to achieve optimum attendance, it must achieve long- run equilibrium attendance.
The condition for Long Run Equilibrium is that:
Club meeting attendance this week = Club meeting attendance next week
X = 80 + 0.20X
X - 0.20X = 80
X = 80/0.8
X = 100.
The long- run equilibrium attendance for this club is 100.
117/3 = 39
39 + 39 + 39 = 177
They must be consecutive.
The integers are 37, 39, and 41.
Answer:
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Step-by-step explanation:
-B
Answer:
2/5 or 2:5
Step-by-step explanation:
Face Card:
The face cards in a deck are the Jack, Queen, and King. There are 4 of each card (1 in each suit), for a total of 12 face cards.
Spade:
1/4 of all the cards in a deck are spades, so 52/4= 13 spades.
When added, the numerator of the probability is 25, however, because the Jack, Queen, and King of Spades are duplicated, we have to subtract 3.
25-3=22
22/55
when simplified: 2/5
