The slope is the change in Y over the change in X:
Slope = (3 -12) / (4-0)
Slope = -9/4
The answer is the 3rd choice.
Answer:
28
Step-by-step explanation:
The number is proportional the central angle in the chart. 360° represents all 72 of the people, so 140° (the size of the Oblivion sector) will represent ...
(140°/360°)×(72 people) = 28 people
-1/2 / 3/4 =
The first step is to flip the second fraction and change division to multiplication. Then multiply straight across.
-1/2 x 4/3 = -4/6
In simplified form:
-4/6 = -2/3
Answer:
1.) 6√13/13
2.) 4√13/13
3.) 3
Step-by-step explanation:
given that cot(x) = 2/3
But cot(x) = 1/tan(x)
Substitutes 1/tan(x) for cot(x)
1/tan(x) = 2/3
Reciprocate both sides
Tan(x) = 3/2 = opposite/adjacent
Use pythagorean theorem to find the hypothenus.
Hypothenus = sqrt ( 3^2 + 2^2 )
Hypothenus = sqrt ( 9 + 4 )
Hypothenus = sqrt (13)
Hypothenus = √13
1.) Sin(x) = opposite/hypothenus = 3/√13
Rationalise
3/√13 × √13/√13
3√13/13
Sin(2x) = 2 × 3√13/13
Sin(2x) = 6√13/13
2.) Cos( x ) = adjacent/hypothenus
Cos (x) = 2/√13
Rationalise
2/√13 × √13 /√13
2√13/13
Cos(2x) = 2 × 2√13/13
Cos(2x) = 4√13/13
3.) Tan (x) = 3/2
tan (2x) = 2 × 3/2
Tan(2x) = 3
I think the answer is 816cm
