Based on the calculations, we have the following:
- The area of the sheet of paper is 96 square inches.
- The combined area of the triangle cutouts is equal to 36 square inches.
- The area of the parallelogram is equal to 60 square inches.
- The altitude of the parallelogram is equal to 6.51 square inches.
<u>Given the following data:</u>
- Dimension of paper = 12-inch by 8-inch.
<h3>How to calculate the paper's area.</h3>
Mathematically, the area of the paper is given by this formula:
Area = 96 square inches.
<u>For the four (4) right triangles:</u>
- Dimension 1 = 2 inches by 9 inches.
- Dimension 2 = 3 inches by 6 inches.
Therefore, the combined area of the triangle cutouts is given by:
<h3>The area of the parallelogram.</h3>
This would be determined by subtracting the area of the four (4) right triangles from the areas of the paper as follows:
P = 60 square inches.
<h3>The altitude of the
parallelogram.</h3>
Altitude = 6.51 square inches.
Read more on parallelogram here: brainly.com/question/4459854
<u>Complete Question:</u>
A parallelogram is cut out of a 12-inch by 8-inch sheet of paper. There are four right triangle remnants. Two have the dimensions 2 inches by 9 inches, and the other two have the dimensions 3 inches by 6 inches. The resulting parallelogram has a base of approximately 9.22 inches.
Choosing the wrong friends can lead to a range of problems. To begin with, if your buddies insult others or you, you may become accustomed to being treated badly and direct this energy onto your family. Bad friends may put pressure on you to do things you don't want to do, which could result in negative results. Friends who do not care about your well-being are unlikely to assist you, so you may distance yourself from your family, fearing that they share your sentiments and are uninterested in your well-being. Friends can be disrespectful about your family at times, and this can make you feel obligated to agree with them, which can lead to them being rude to their own family members.
The problems caused by urbanization are;
- loss of aesthetic and cultural space
- increased high temperatures (heat-island effect)
- increased storm-water run-off, flooding, and pollution of waterways
<h3>What is Urbanization?</h3>
Urbanization is defined as the process whereby large numbers of people become permanently concentrated in relatively small areas thereby forming cities. The features that depict the problems caused by urbanization are;
- loss of aesthetic and cultural space
- increased high temperatures (heat-island effect)
- increased storm-water run-off, flooding, and pollution of waterways
Read more about Urbanization at; brainly.com/question/496631
Answer: Preliminary hearing.
____________________________________________________________
Explanation:
When all the evidences and witnesses are gathered, they are made to stand in front of a judge during preliminary hearing whose purpose is to screen out cases and end the weak cases beforehand so that an innocent person does not have to get through unfounded prosecutions.
If it is a single die rolled then the probability is 1/6 but if it is a pair of dice then the probability is going to be doubled and it becomes 1/36
