Answer:
45.1feet
Step-by-step explanation:
Given the following
∠I=90°
∠G=62°, and
GH = 96 feet = Hypotenuse
Required
IG = Adjacent side
Using the SOH CAH TOA identity
Cos theta = Adj/hyp
Cos 62 =IG/96
IG = 96cos62
IG = 96(0.4695)
IG = 45.1feet
Hence the length of IG to the nearest tenth is 45.1feet
Answer:
(-2,11) (0,3) (2,-5) (4,-13)
Step-by-step explanation:
used desmos calculator
Answer:
It would be the second option
Step-by-step explanation:
z:28 is the ratio of the shorter triangle's side to the larger triangle's side, so is 27:45.
Answer:
The Pearson's coefficient of correlation between the is 0.700.
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
The formula to compute correlation between two variables <em>X</em> and <em>Y</em> is:

The formula to compute covariance is:

The formula to compute the variances are:

Consider the table attached below.
Compute the covariance as follows:


Thus, the covariance is 75.
Compute the variance of X and Y as follows:

Compute the correlation coefficient as follows:



Thus, the Pearson's coefficient of correlation between the is 0.700.
Answer:
Option A
Step-by-step explanation:
By using the definition of an exterior angle of a triangle,
"Measure of the exterior angle of a triangle is equal to the sum of measures of the opposite interior angles"
m∠STP = m∠SWT + m∠STW
Substitute the measures of the angles from the picture attached,
15x = (7x + 1) + (7x + 6)
15x = (7x + 7x) + (1 + 6)
15x = 14x + 7
15x - 14x = 7
x = 7
Therefore, Option A will be the correct option.