Answer:
Area of the sector = 29.48 square miles.
Step-by-step explanation:
Given:
Radius of a circle = 13 miles
Angle bounded by the arc = 20 deg
To find
Area of the sector bounded by 20 degrees.
Note: Area of a sector =
Plugging the values in the equation.
⇒ 
⇒ 
⇒
square-miles
So the area of the sector bounded by 20 degree arc is 29.48 square miles.
Answer:
Step-by-step explanation:
54°
Answer:
40°
Step-by-step explanation:
Angle 1 and Angle 2 are corresponding angles.
Corresponding angles are congruent, so 3x + 4 = 5x - 20
Solving 3x + 4 = 5x - 20
3x = 5x - 24
2x = 24
x = 12
Substitute angle 1
3x + 4 = 36 + 4 = 40
ANSWER:
Both functions have the same slope
The linear equation does not have a y-intercept
The table and the grahp express an equivalent function
STEP-BY-STEP EXPLANATION:
In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:

The formula to calculate the slope is the following:

The points are (-6, -9/2) and (4,3), replacing:

The slope is 3/4
Now, for b
x = 4
y = 3
m = 3/4
replacing:

The equation is:

Therefore, the true statements are:
• Both functions have the same slope
,
• The linear equation does not have a y-intercept
,
• The table and the grahp express an equivalent function
Answer:
x=-24 is the correct answer