Who was the Spanish conqueror that overthrew the Aztec Empire? Question 3 options: Cortés Pizarro Moctezuma Díaz

Complete the following steps to calculate the altitude of the parallelogram using area methods. The area of the sheet of paper i

stiks02 [169]

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.

Given the following data:

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:

$Area = length \times breadth\\\\Area = 12 \times 8$

Area = 96 square inches.

For the four (4) right triangles:

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:

$A_2= (2 \times \frac{1}{2} \times 2 \times 9) + 2 \times \frac{1}{2} \times 3 \times 6\\\\A_2=18+18\\\\A_2=36\;in^2$

<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:

$P = A_p -A_2\\\\P=96-36$

P = 60 square inches.

<h3>The altitude of the parallelogram.</h3>

$P = base \times altitude\\\\Altitude =\frac{P}{base} \\\\Altitude =\frac{60}{9.22}$

Altitude = 6.51 square inches.

Read more on parallelogram here: brainly.com/question/4459854

Complete Question:

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.

8 0

2 years ago

Read 2 more answers

If the pool is to be 24 ft on each side, what is the length of one side of the hot tub? 4 ft 4. 8 ft 6 ft 7. 2 ft.

riadik2000 [5.3K]

Based on the information given the length of one side of the hot tub is 4. 8 ft.

<h3 /><h3>Length:</h3>

Using this formula

Length=B prime C prime length/Scale factor

Where:

B prime C prime length=24 feet

Scale Factor=5

Let plug in the formula

Length=24ft/5

Length=4.8ft

Inconclusion the length of one side of the hot tub is 4. 8 ft.

Learn more about length here:brainly.com/question/17135976

3 0

3 years ago

Of the $10$ kids in a chess club, $5$ are left-handed and $5$ are right-handed. the club holds a round-robin tournament in which

Nataliya [291]

The total number of games a girl play against a boy is 25, the number of games a girl plays against a boy is 10, the fraction of the games are boy-versus-boy is 2/9, and 1/5 is the fraction of all games at the tournament Anita plays.

<h3>How to carry out Permutation and Combination?</h3>

We are given that there are 5 girls and 5 boys in a chess club.

Thus, total games that girls play against a boy = 5×5 = 25

The number of games a girl play against another is the total number of games = 10

The number of games that are boy vs boy = 10

The number of games Boy vs Boy + Girl vs Girl + Boy vs Girl = 10 + 10 + 25 = 45

Fraction of the games that are boy vs boy = 10/45 = 2/9

If Anita is one of the club members, then Anita will have to play against 9 people at the tournament.

Total number of games = 45

Then the fraction of all games at the tournament Anita play the game.= 9/45 ⇒ 1/5

Thus, the total number of games a girl play against a boy is 25, the number of games a girl plays against a boy is 10, the fraction of the games are boy-versus-boy is 2/9, and 1/5 fraction of all games at the tournament Anita plays.

Read more about Permutation and Combination at; brainly.com/question/4658834

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5 0

2 years ago

Select the correct answer from the drop-down menu. read the passage. then choose the best way to complete the sentence. informat

Andrej [43]

Passage? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

4 0

2 years ago

How education perpetuates and reinforce social inequality

aleksandrvk [35]

<h3>Rather, they believe that the educational system reinforces and perpetuates social inequalities that arise from differences in class, gender, race, and ethnicity. ... To them, educational systems preserve the status quo and push people of lower status into obedience.</h3>

<h2>HOPE IT HELPS YOU.</h2>

<h2>PLEASE MARK ME AS BRAINLIEST.☺️☺️☺️☺️☺️✌️✌️✌️✌️✌️✌️❤️❤️❤️❤️❤️❤️</h2>

6 0

3 years ago