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
What is the exact circumference of a circle with a radius of 12 inches?
kvv77 [185]
The radius of a circle is half the length of the circumference. 
So multiply 12 by itself and you get 24.
The answer is C.
5 0
3 years ago
Read 2 more answers
NEED HELP NOW 100 POINTS WILL MARK BRAINLIEST ANSWER!!!! 2 photos below PLZ ANSWER BOTH CORRECTLY
slega [8]
The first answer is C. 
The second answer is A. 
7 0
3 years ago
Read 2 more answers
Find the solution to the system of equations graphed here.
tiny-mole [99]
This can be solved by finding their point of intersection on the graph, which is at point (1,3).
5 0
3 years ago
Read 2 more answers
What is the answer? help me
puteri [66]
The answer that I would choose would be C.
5 0
2 years ago
The sum of a number times 5 and 15 is at least 27.
s2008m [1.1K]
27 is corrrect answer
4 0
3 years ago
Other questions:
  • Ladonna is running for city council. She needs to get 5/6 of her votes from senior citizens and 36,000 votes in all to win. How
    14·2 answers
  • At a certain time of day 1.8m tall person standing next to the Washington monument cast a 0.7m shadow at the same time the Washi
    8·1 answer
  • 2 jars of spaghetti sauce $3<br> What is the constant poportion of this problem
    7·2 answers
  • 18/30 reduce into fraction
    6·1 answer
  • WHOEVER ANSWERS RIGHT WILL GET BRAINLIST
    12·2 answers
  • Help fast !!!!!!!!!!!
    11·2 answers
  • A golfer takes a swing from a hill twenty feet above the cup with an initial upwards velocity of 76 feet per second. How long do
    11·1 answer
  • What is 4x+3y-x-4y? please help-
    8·2 answers
  • The sum of 8n^2-3n+10 and -3n^2 -6n-7 is​
    5·1 answer
  • I'm unsure on how to figure out what "X" is..?<br><br> X/2 = 6/3
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!