Slope of a line segment can be demonstrated as rise/run. The amount a line rises or falls, divided by the amount the line "runs" or moves from left to right. This can be calculated by choosing any two points on the line and using the equation m = (<span>y2</span><span> - </span><span>y1</span>)/(<span>x2</span><span> - </span><span>x1</span><span>)</span>
Answer:
We are asked to solve for the lateral area of the cylinder and the formula is shown below:
Lateral area = 2*pi*r*h
We are also given with the area of the base such as:
Area of the base = 36pi square units
Area of the base = pi*r²
Solving for radius:
36pi = pi*r²
r=6 inches
Solving for the lateral area when height is 2 units:
Lateral area = 2*pi*6*2
Lateral area = 24pi inches²
The answer is the letter "B" 24 square units
Step-by-step explanation:
Answer:
C ≈ 22.1°
Step-by-step explanation:
The law of cosines formula is given. Solving it for C, we find ...
C = arccos((a^2 +b^2 -c^2)/(2ab))
where a and b are the sides adjacent to the angle.
Then we have ...
C = arccos((14^2 +19^2 -8^2)/(2·14·19)) = arccos(493/532)
C ≈ 22.1°
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If you have a fair number of these to do, a spreadsheet is a useful tool. There are also triangle solver apps on the web or your local smart platform that will do this, too.
It is important so you can be more fluent or faster in knowing bigger problems
The function is increasing on the intervals (-infinity, -2.5] and [1, infinity)
