Answer:

Step-by-step explanation:

Given that:

To evaluate the expression, we must simply substitute the given value of
, which is
, for
:

Multiply:

Subtract:

-
To check your work, simply set the given expression equal to our solution,
:

Add
to both sides of the equation:

Divide both sides of the equation by the coefficient of
, which is
:

Since it matches the given value of
, our solution is correct!
(40*6)+16=X
240+16=X
256=X
The number is 256.
Answer:
Kara should plot points where the arcs intersect above and below the line segment.
Step-by-step explanation:
The bisection of a line segment is the dividing of the line segment into two equal parts. To bisect a line segment, you have place your compass on the endpoints and measure a distance greater than half of the segment. The point of intersection of the arcs both above and below the segment is then joined thereby bisecting the line.
Since Kara has already drawn the two arcs which are greater that half of the length, all Kara needs to do is plot points where the arcs intersect above and below the line segment.
Answer: The angle of elevation is 18.4 degrees (Approximately)
Step-by-step explanation: Please refer to the picture attached for more details.
The pole from top to bottom is 20 feet tall and is depicted as line FB. An observer is standing at a distance of 20 feet from the base of the pole, and that is depicted as line BA. The observer who is at point A looks up to the top of the flagpole at an angle of elevation shown as angle A.
Using angle A as the reference angle, line FB which is 20 feet would be the opposite (facing the reference angle), while line BA which is 60 feet would be the adjacent (that lies between the right angle and the reference angle).
Therefore, to calculate angle A;
Tan A = Opposite/Adjacent
Tan A = 20/60
Tan A = 1/3
Tan A = 0.3333
Checking with your calculator or table of values,
A = 18.4349°
Rounded to the nearest tenth,
A ≈ 18.4°
7/8 because there are 8 pieces of pizza and they eat 7 slices of pizza.