Match the value with the correct description. Working toward a specific goal.

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.

<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:

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

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:

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

<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

<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.

8 0

2 years ago

Read 2 more answers

Suppose that IQ scores have a bell-shaped distribution with a mean of 101 and a standard deviation of 12. Using the empirical ru

7nadin3 [17]

95.44% IQ scores are between 77 and 125

We're given,

Mean (a)=101

standard deviation (b)=12

To find : $P[77 < x < 125]$

Using Empirical Rule:

∴ $P[77 < x < 125]$ $=$ $P[\frac{77-101}{12} < \frac{x-a}{b} < \frac{125-101}{12}]\\$

$=P[-2 < z < 2]\\$

$=P[Z < 2]-P[Z < -2]\\$

$=0.9772-0.0228\\$

$=0.9544$ =95.44% (approx)

Learn more about Empirical rule of IQ calculation here:

brainly.com/question/13077017

#SPJ10

3 0

2 years ago

Roman controlled areas are red and their allies are shaded pink. Carthage controlled the areas in dark blue, and its allies are

KIM [24]

The conclusion that can be drawn about the second punic war from the information in the map is;

D) Rome had enemies both on the Italian peninsula and in North Africa.

<h3>Facts about the Second Punic War</h3>

From the second punic war from the information on the map, we can tell that the Roman Republic were fighting against the Carthaginian empire which was based in Northern region of Africa.

Now, some kingdoms in the Italian peninsula allied themselves with the Carthage empire.

Finally, we can say that Rome had enemies in North Africa (Carthage empire) and on the the kingdoms of the Italian peninsula that allied themselves with the Carthage empire.

In conclusion, the correct answer is that Rome had enemies on the Italian peninsula and in northern Africa.

The missing options are;

A) Rome had established firm control of the Italian peninsula prior to the Second Punic War.

B) The Roman's allies played a key role in their victory on the Italian peninsula.

C) Rome was also at battle with the Carthaginians over territory in the Eastern Mediterranean.

D) Rome had enemies both on the Italian peninsula and in North Africa.

Read more about Second Punic War at; brainly.com/question/2612078

7 0

2 years ago

Can someone give me answer

nataly862011 [7]

Sorry I don’t know that language

6 0

2 years ago

Which graph shows the solution to the equation log2(3x – 1) = 2?

dalvyx [7]

Im on quizlet. It’s probably B

3 0

2 years ago