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.
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<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.
The triangle has a 60° angle, and the two adjacent sides are 12 and "12 times the square root of 3".
So, the area of the triangle, Δ = sq. units.
Now, we have to find the radius of the circle with the same vertex as a center, if the arc in the triangle bisects the area of the triangle.
So, if the radius of the circle is r units, then
⇒ 0.5238 r² = 54
⇒ r² = 103.092
<u>⇒ r = 10.15 units. (Answer)</u>
To multiply or divide rational expressions, what is expected is that the 2 numerators and the 2 denominators are multiplied or divided with each other.
<h3>What is a rational expression?
</h3>
This is the ratio of two polynomials in mathematics. To multiply the expression it is the same as the normal multiplication done in mathematics.
The numerators first have to be multiplied together and then the same is done to the denominator.
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Women's rights movement are the demands made on behalf of women and girls all around the world. They served as the pivot of the feminist and women's rights movements in the 20th and 21st centuries. In certain nations, via legislation, regional customs, and behavior, some rights are institutionalized or supported, whereas in others, they are disregarded or suppressed.
They diverge from more broad ideas of human rights because they contend that there is a natural historical and societal bias against women and girls exercising their rights in favor of men and boys. Women rights movement is a struggle for freedom from sexual assault, the right to vote, and the ability to hold public office.
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