Answer:
Sin theta = 12/13
Step-by-step explanation:
From the question;
Cot theta = 5/12
Kindly recall;
Cot theta = 1/ tan theta
Hence, tan theta = 12/5
Mathematically
tan theta= opposite/adjacent
to get hypotenuse, we will use Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides
let hypotenuse be h
h^2 = 12^2 + 5^2
h^2 = 144 + 25
h^2 = 169
h = √169
h = 13
But sine theta = opposite/ hypotenuse = 12/13
Answer:
slope=-2
Step-by-step explanation:
First you need to know the slope formula: y2-y1/x2-x1
Then you just plug in and solve:
-3-1/7-5 = -4/2 = -2
Answer:
The equation for regression line and predicting a husband's height for married couples in their early 20s
Equation: Y'=33.67+0.54*X'
Step-by-step explanation:
r=0.5
x'=64.5
Sx=2.5
y'=68.5
Sy=2.7
General regression line equation is:
Y'=a+b*X'
so the slope of the regression line is the linear correlation coefficient multiplied by the standard deviation for y' divided by the standard deviation for x'
The intercept with axis y is the mean of the decreased by the product of the slope and the mean of x
The equation regression line then is:
Y'=33.67+0.54*X'
Angle A and angle B sums up to 180 (interior angles)
6x - 35 + 3x + 53 = 180
9x + 18 = 180
9x = 162
x = 18
angle A = 6(18)-35 = 73 degrees
Answer:
-37
Step-by-step explanation:
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