Answer: It is A=-1<x<-6 is the domain
0.17 m = 17 cm
17cm is smaller than 21 cm.
Yes, it can fit in a 21 cm bag.
You have no choices listed but here's the answer:
(85 + 91 + x) / 3 = 94
Multiplying both sides by 3
85 + 91 + x = 282
x = 106
In order for her to get a 94 average she would need a mark of 106 on her next test.
Answer: Choice C
7 divided by cosec 50 degrees
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Explanation:
Abbreviations:
sec = secant
cot = cotangent
cosec = cosecant (csc is also a widely used abbreviation)
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Let the horizontal leg be x
This leg is opposite the angle 50 degrees. The hypotenuse is 7
Opposite = x
Hypotenuse = 7
We'll either use the sine rule or the cosecant (csc) rule
sine = opposite/hypotenuse
cosecant = hypotenuse/opposite
Since "sine" is nowhere to be found in the answer choices, we'll use the cosecant rule
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cosecant = hypotenuse/opposite
csc(angle) = hypotenuse/opposite
csc(50) = 7/x
x*csc(50) = 7
x = 7/csc(50)
This is why the answer is choice C
