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
AURORKA [14]
3 years ago
11

Part A

Mathematics
1 answer:
masya89 [10]3 years ago
8 0

Answer:

Part A) The area of triangle i is 3\ cm^{2}

Part B) The total area of triangles i and ii is 6\ cm^{2}

Part C) The area of rectangle i is 20\ cm^{2}

Part D) The area of rectangle ii is 32\ cm^{2}

Part E) The total area of rectangles i and iii is 40\ cm^{2}

Part F) The total area of all the rectangles is 72\ cm^{2}

Part G) To find the surface area of the prism, we need to know only the area of triangle i and the area of rectangle i and the area of rectangle ii, because the area of triangle ii is equal to the area of triangle i and the area of rectangle iii is equal to the area of rectangle i

Part H) The surface area of the prism is 78\ cm^{2}

Part I) The statement is false

Part J) The statement is true

Step-by-step explanation:

Part A) What is the area of triangle i?

we know that

The area of a triangle is equal to

A=\frac{1}{2} (b)(h)

we have

b=4\ cm

h=1.5\ cm

substitute

A=\frac{1}{2} (4)(1.5)

Ai=3\ cm^{2}

Part B) Triangles i and ii are congruent (of the same size and shape). What is the total area of triangles i and ii?

we know that

If Triangles i and ii are congruent

then

Their areas are equal

so

Aii=Ai

The area of triangle ii is equal to

Aii=3\ cm^{2}

The total area of triangles i and ii is equal to

A=Ai+Aii

substitute the values

A=3+3=6\ cm^{2}

Part C) What is the area of rectangle i?

we know that

The area of a rectangle is equal to

A=(b)(h)

we have

b=2.5\ cm

h=8\ cm

substitute

Ai=(2.5)(8)

Ai=20\ cm^{2}

Part D) What is the area of rectangle ii?

we know that

The area of a rectangle is equal to

A=(b)(h)

we have

b=4\ cm

h=8\ cm

substitute

Aii=(4)(8)

Aii=32\ cm^{2}

Part E) Rectangles i and iii have the same size and shape. What is the total area of rectangles i and iii?

we know that

Rectangles i and iii are congruent (have the same size and shape)

If rectangles i and iii are congruent

then

Their areas are equal

so

Aiii=Ai

The area of rectangle iii is equal to

Aiii=20\ cm^{2}

The total area of rectangles i and iii is equal to

A=Ai+Aiii

substitute the values

A=20+20=40\ cm^{2}

Part F) What is the total area of all the rectangles?

we know that

The total area of all the rectangles is

At=Ai+Aii+Aiii

substitute the values

At=20+32+20=72\ cm^{2}

Part G) What areas do you need to know to find the surface area of the prism?

To find the surface area of the prism, we need to know only the area of triangle i and the area of rectangle i and the area of rectangle ii, because the area of triangle ii is equal to the area of triangle i and the area of rectangle iii is equal to the area of rectangle i

Part H) What is the surface area of the prism? Show your calculation

we know that

The surface area of the prism is equal to the area of all the faces of the prism

so

The surface area of the prism is two times the area of triangle i plus two times the area of rectangle i plus the area of rectangle ii

SA=2(3)+2(20)+32=78\ cm^{2}

Part I) Read this statement: “If you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” Is this statement true or false? Why?

The statement is false

Because, the three rectangles are not congruent

The total area of the rectangles is 72\ cm^{2} and if you multiply the area of one rectangle by 3 you will get 20*3=60\ cm^{2}

72\ cm^{2}\neq 60\ cm^{2}

Part J) Read this statement: “If you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” Is this statement true or false? Why?

The statement is true

Because, the triangles are congruent

You might be interested in
How can i get the answer too -16v=-32
Alex17521 [72]
Divide negative 16 by both sides
v=2
5 0
3 years ago
I need help with eight and nine you are to multiply the binominaals using the horizontal format
lorasvet [3.4K]

Answer:

8. 15m^2-31m+10\\

9. x^2y^2z^2+2xyz-3

Step-by-step explanation:

(a+b)(c+d)=ac+ad+bc+bd\\(3m-5)(5m-2)=3m*5m+3m(-2)-5*5m(-2)\\=3m*5m+3m(-2)-5*5m(-2)\\=15m^2-31m+10

^#8^

(xyz+3)(xyz-1)=xyzxyz+xyz(-1)+3xyz+3(-1)\\=xyzxyz+xyz(-1)+3xyz+3(-1)\\=x^2y^2z^2+2xyz-3

^#9^

4 0
2 years ago
In 2010, there were 2,468,435 total deaths in the total US population, with 308,745,538 persons at mid year (July 1). ;Of these
xenn [34]

Answer:

193.586 deaths per 100,000

Step-by-step explanation:

The cause-specific mortality rate for a disease in a per 100,000 basis is determined as the total number of deaths due to the disease multiplied by 100,000 and divided by the average (mid-year) total population.

There were 597,689 deaths due to diseases of the heart in a population of 308,745,538 people. The cause-specific mortality rate for diseases of the heart per 100,000 in this population is:

M=\frac{597,689}{308,745,538}*100,000\\ M=193.586\ deaths/100,000

The mortality rate is 193.586 deaths per 100,000.

7 0
3 years ago
Percentage increase for 5 <br> cups and 8 cups
konstantin123 [22]
13 is the answer for ur question
5 0
3 years ago
Read 2 more answers
50 ÷ (-5) =<br><br><br> Please simplify
mafiozo [28]

Answer:

-10

Step-by-step explanation:

50 ÷ (-5)

First ignore the brackets and the negative sign.

Then divide 50 by 5 to get 10

Then return the negative sign so the answer is; -10

3 0
3 years ago
Other questions:
  • What is the change in temperature from -8°F to 14°F?
    13·2 answers
  • REALLY NEED HELP TONIGHT!!!!!
    5·1 answer
  • The following question has two parts. First, answer part A. Then, answer part B.
    11·1 answer
  • Can u answer an explain how to get the answer im stuck plz
    7·1 answer
  • you find a triangle that has an area of 10 sq ft. the height of the triangle is 10 feet. what is the length of the base of the t
    7·1 answer
  • Kevin operates a movie theater that sells about 800 tickets per day for $8 each. Kevin predicts that for each $0.50 increase in
    5·1 answer
  • A species of dolphins is decreasing at a rate of 3.1% per year. If there are currently 20,000 dolphins, how many will there be i
    11·1 answer
  • Find the point on the terminal side of θ = -3π / 4 that has an x coordinate of -1. Show work
    13·1 answer
  • A train moves a constant speed and travels 6 miles in 4 minutes. What is its speed in miles per minute?
    9·1 answer
  • You receive a raise in your hourly pay from $8.25 per hour to $9.25 per hour. What percent increase in pay does this represent?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!