each day, Mr. Samms randomly chooses 2 students from his class to serve as helpers. There are 15 boys and 10 girls in the class.
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Answer:
<h2>The perimeter of the cross section is 30 centimeters.</h2>Step-by-step explanation:
In this problem we have the intersection of a rectangular prism an a plane.
The dimensions of the rectangular plane are
Assuming the plane is cutting the prism horizontally, the cross section would have dimensions
Because only the height would be cut.
So, the perimeter of the rectangle cross-section is
Therefore, the perimeter of the cross section is 30 centimeters.
The area of triangle ABC is the amount of space on the triangle
The area of the triangle is 54.84 square units
<h3>How to determine the area of triangle ABC</h3>Start by drawing the triangle (see attachment)
Next, calculate the measure of angle B using the following tangent ratio
This gives
Take the arc tan of both sides
Multiply by 2
Next, calculate the length of side AD using the following equation
This gives
The area of the triangle is then calculated as:
This gives
Hence, the area of the triangle is 54.84 square units
Read more about areas at:
