Answer:
Here is your answer!
Step-by-step explanation:
Circle O is shown. 2 tangents intersect at a point outside of the circle which is labeled Satellite. The angle formed is 20 degr
ees and the measure of the first arc formed is x. One tangent intersects the circle at a point labeled Earth. A satellite views the Earth at an angle of 20°. What is the arc measure, x, that the satellite can see? 40° 80° 160° 320°
2 answers:
Answer:
The arc measure, x, that the satellite can see is 160°
Step-by-step explanation:
Given that the two tangents intersect at a point outside the with circle center O
The angle formed between between the two tangent = 20°
The first arc formed is measured as x°, which is the arc opposite the point where the two tangents meet = The arc the satellite can see
The angle x is given by the relationship;
x = 2 × (90 - v/2)
Where;
v = The angle formed at the point where the two tangent meet = 20°
Therefore;
x = 2 × (90 - 20/2) = 2 × (90 - 10) = 2 × 80 = 160°
The arc measure, x, that the satellite can see = 160°.
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Answer:
Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.
Step-by-step explanation:
We are given the following in the equation:
A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 score.
Thus, Exam 3 score becomes the dependent variable and exam 1 score is the independent variable.
The regression equation is given by:
Comparing the equation to a linear equation:
m = 0.4845
c = 50.57
Where m is the slope and tells the rate of change and c is the y intercept that is the value of y when x is 0.
When, there is a increase in x, we can write:
Thus, the slope of equation can be interpreted as:
Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.