Z-scores (left tail) of a given variable X are calculated by
Z(x)=(x-mean)/standard deviation.
For Mary:
Zm(124)=(124-110)/8=14/8=1.75
For Carrie:
Zc(289)=(289-250)/20=39/20=1.95
therefore
Zc>Zm
Answer:
Option B. Cosec θ = –5/3
Option C. Cot θ = 4/3
Option D. Cos θ = –4/5
Step-by-step explanation:
From the question given above, the following data were obtained:
Tan θ = 3/4
θ is in 3rd quadrant
Recall
Tan θ = Opposite / Adjacent
Tan θ = 3/4 = Opposite / Adjacent
Thus,
Opposite = 3
Adjacent = 4
Next, we shall determine the Hypothenus. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus =?
Hypo² = Opp² + Adj²
Hypo² = 3² + 4²
Hypo² = 9 + 16
Hypo² = 25
Take the square root of both side
Hypo = √25
Hypothenus = 5
Recall:
In the 3rd quadant, only Tan is positive.
Therefore,
Hypothenus = –5
Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus = –5
Sine θ = Opposite / Hypothenus
Sine θ = 3/–5
Sine θ = –3/5
Cos θ = Adjacent / Hypothenus
Cos θ = 4/–5
Cos θ = –4/5
Cot θ = 1/ Tan θ
Tan θ = 3/4
Cot θ = 1 ÷ 3/4
Invert
Cot θ = 1 × 4/3
Cot θ = 4/3
Cosec θ = 1/ Sine θ
Sine θ = –3/5
Cosec θ = 1 ÷ –3/5
Invert
Cosec θ = 1 × –5/3
Cosec θ = –5/3
SUMMARY
Sine θ = –3/5
Cos θ = –4/5
Tan θ = 3/4
Cot θ = 4/3
Cosec θ = –5/3
Therefore, option B, C and D gives the correct answer to the question.
Answer:
none of the above
Step-by-step explanation:
Vertical angles are opposite angles made by intersecting lines
a and b are not vertical angles no
Complementary angles - two angles that add to 90 degrees
b is 90 degrees by itself no
Supplementary angles - two angles that add to 180 ( would make a straight line)
a and b do not form a straight line they are not vertical angles - no
Answer:
she ate 4 slices
Step-by-step explanation:
Okay so here you go
<span>Decimal Form: -1.266667
</span>
Fraction form: -19/15
hears how:
Simplify brackets
-2/3 - 3/5
Simplify: -19/15
