1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dsp73
2 years ago
8

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

s square inches. The combined area of the triangle cutouts is square inches. The area of the parallelogram is square inches. The altitude of the parallelogram rounded to two decimals is square inches
SAT
2 answers:
stiks02 [169]2 years ago
8 0

Based on the calculations, we have the following:

  1. The area of the sheet of paper is 96 square inches.
  2. The combined area of the triangle cutouts is equal to 36 square inches.
  3. The area of the parallelogram is equal to 60 square inches.
  4. 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.

Alexus [3.1K]2 years ago
8 0

Answer:

1: 96

2: 36

3: 60

4: 6.51

Explanation:

trust

You might be interested in
Difference between random assignment and random sampling
melisa1 [442]
So, to summarize, random sampling refers to how you select individuals from the population to participate in your study. Random assignment refers to how you place those participants into groups (such as experimental vs. control)
6 0
2 years ago
Match the verses with the promise.
Lubov Fominskaja [6]
I unfortunately don’t have anything to answer this question with.
6 0
3 years ago
Read 2 more answers
What is the likely source of pollution if there are frequent algal blooms in a river?
Ilia_Sergeevich [38]

Answer:

Fertilizer runoff from nearby farms

Explanation:

Fertilizer contains an excess of nutrients, including phosphorus. When fertilizer runs into nearby waterbodies (such as rivers), algae uses these nutrients as a food source, and an algal bloom will occur due to that large sum of available nutrients.

4 0
3 years ago
What are the models of social change​
AveGali [126]

Evolutionary Theory.

Cyclical Theory.

Economic (Mandan) Theory of Social Change.

Conflict Theory.

Technological Theory.

3 0
2 years ago
How much does Gautrain cost??​
STALIN [3.7K]
Answer:

That depends where you’re going by train and where you’re taking the train from. It’s sort of like taking a plane to wherever you want to go. The farther you are from your destination, the more expensive it is.
3 0
3 years ago
Other questions:
  • Most countries in the world have what type of government?
    6·1 answer
  • Sort the attributes based on whether they describe Venus or Neptune. a relatively thick atmosphere that traps heat, similar to E
    6·2 answers
  • The graph shows the populations of two species over time. Which type of symbiotic relationship does the graph represent?
    13·2 answers
  • Where can we observe energy transformations in everyday life?
    14·2 answers
  • Intermittent activity means
    11·1 answer
  • a sample of carbonate rock is a mixture of caco3 and mgco3. the rock is analyzed in a laboratory, and the results are recorded i
    12·1 answer
  • I hosted a birthday party last sunday and the guests ______ havoc on my house!.
    10·2 answers
  • Aiden is aware of the causes of type 2 diabetes. What can he do to help decrease his likelihood of developing the disease? drink
    11·1 answer
  • How do I cooperate with these
    8·1 answer
  • Which species has london dispersion forces as the only intermolecular force?.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!