77 PTS!! On the following composite figure, all angles are right angles. All short edges of the figure have a measure of 1.5 centimeters. All long edges have a measure of 3 centimeters. Find the area of the figure. Explain or show how you got your answer.

77 PTS!! On The Following Composite Figure, All Angles Are Right Angles. All Short Edges Of The Figure

Answers

Answer 1

Answer:Answer:

 27 cm²

Step-by-step explanation:

There are many ways the figure can be decomposed into parts for which you know the area formula. The total area is the sum of the parts.

__

decomposition

We recognize that each of the tabs is twice as long as wide, so is half a square. The 4 tabs together make 2 squares that are 3×3 cm. Of course, what remains after removing the tabs is a 3×3 cm square in the middle of the figure.

sum of parts

Then the total area is that of 3 squares measuring 3 cm × 3 cm:

 A = s² = (3 cm)² = 9 cm² . . . . . area of one square

 total area = 3A = 3(9 cm²) = 27 cm²

The area of the figure is 27 cm².

Answer 2

Answer:

 27 cm²

Step-by-step explanation:

There are many ways the figure can be decomposed into parts for which you know the area formula. The total area is the sum of the parts.

__

decomposition

We recognize that each of the tabs is twice as long as wide, so is half a square. The 4 tabs together make 2 squares that are 3×3 cm. Of course, what remains after removing the tabs is a 3×3 cm square in the middle of the figure.

sum of parts

Then the total area is that of 3 squares measuring 3 cm × 3 cm:

 A = s² = (3 cm)² = 9 cm² . . . . . area of one square

 total area = 3A = 3(9 cm²) = 27 cm²

The area of the figure is 27 cm².

_____

Alternate solution

The figure can also be considered to be a 6 cm × 6 cm square with four 1.5 cm × 1.5 cm squares removed from its corners. Then the area is ...

 (6 cm)² -4(1.5 cm)² = (36 -4(2.25)) cm² = 27 cm²


Related Questions

PLEASE HURRY IM RUNNING LATE WITH THIS!,

Answers

C. Purple and green

Hope this help!!

i need help with this question

Answers

Answer: 33

Step-by-step explanation:
36 / 4 = 9
24 + 9 = 33

Answer:

33

Step-by-step explanation:

Rewrite each expression using the distributive property.then combine like terms if possible
-8(x+4)+5(x+4)

Answers

Answer:

-3(x + 4)

Step-by-step explanation:

1. First, combine the like terms:

-8(x + 4) + 5(x + 4)

-3(x + 4)

2. Next, distribute:

-3(x + 4)

-3x + 12

3. Finally, use the common factor:

-3x + 12

-3(x + 4)

Answer: -3(x + 4)

Step-by-step explanation:

CAN YOU GUYS HELP ME PLESE TYYYY!!!

Answers

Answer:

3:4

Is the required answer

100 POINTS HELP PLEASE IM DESPERATE !!!!!!!!!!!!!!!!!!!!

If AB¯¯¯¯¯¯¯¯
is translated right 5
units and down 2
units, what are the coordinates of A′,
the image of point A?

Line Segment A B with coordinates A negative 5, 2 & B negative 2, 6.

Answers

So basically you gotta go uo down left right up up down agian that ur answer
The coordinates for A’ would be (0,0)

The figure below is dilated with the center of dilation at the origin and a scale factor of
1/2 . What are the coordinates of the image of point E after this transformation?

Answers

Answer:

-6 ; 3

Step-by-step explanation:

Find the volume of the triangular prism; do not round.

Answers

Answer:

[tex]\boxed{\mathtt{Volume=33.55m^{3}}}[/tex]

Step-by-step explanation:

[tex]\textsf{For this problem, we are asked to find the Volume of a Triangular Prism.}[/tex]

[tex]\large\underline{\textsf{What is Volume?}}[/tex]

[tex]\textsf{Volume is the amount of space a figure occupies. Volume is measured in Cubic units.}[/tex]

[tex]\large\underline{\textsf{We are Given;}}[/tex]

[tex]\textsf{The Height is 6.1m. Keep in mind that the Height is the Perpendicular Distance}[/tex]

[tex]\textsf{between 2 bases.}[/tex]

[tex]\textsf{The base is; (4.4 x 2.5).}[/tex]

[tex]\textsf{The Height of the Triangle is 2.5m.}[/tex]

[tex]\large\underline{\textsf{Necessary Formulas;}}[/tex]

[tex]\mathtt{Volume=(Base) \times Height}[/tex]

[tex]\mathtt{Area = \frac{1}{2} (Base \times Height)}[/tex]

[tex]\large\underline{\textsf{For this Problem;}}[/tex]

[tex]\mathtt{Volume=(Triangles' \ Area) \times Height}[/tex]

[tex]\large\underline{\textsf{The area of a Triangle is;}}[/tex]

[tex]\mathtt{Area = \frac{1}{2} (Base \times Height)}[/tex]

[tex]\textsf{Find the area of the base first.}[/tex]

[tex]\large\underline{\textsf{Substitute;}}[/tex]

[tex]\mathtt{Area = \frac{1}{2} (4.4 \times 2.5)}[/tex]

[tex]\boxed{\mathtt{Area = 5.5m^{2}.}}[/tex]

[tex]\textsf{We know the Base, now let's find the volume of the figure.}[/tex]

[tex]\large\underline{\textsf{Substitute;}}[/tex]

[tex]\mathtt{Volume=5.5 \times 6.1}[/tex]

[tex]\boxed{\mathtt{Volume=33.55m^{3}}}[/tex]

[tex]\huge\text{Hey there!}[/tex]


[tex]\huge\textsf{Find the \boxed{\bf volume} of a triangular prism is:}[/tex]

[tex]\mathsf{\dfrac{1}{2}(\boxed{\bf b}ase\times\boxed{\bf h}eight\times\boxed{\bf l}ength) = \boxed{\bf v}olume}[/tex]


[tex]\huge\textsf{Your \boxed{\bf equation} should look like:}[/tex]

[tex]\mathsf{volume = \dfrac{1}{2}(4.4\ m \times 2.5\ m\times 6.1\ m)}[/tex]


[tex]\huge\textsf{\boxed{\bf Step-by-step} explanation can be:}[/tex]

[tex]\mathsf{volume = \dfrac{1}{2}(4.4\ m \times 2.5\ m\times 6.1\ m)}[/tex]

[tex]\mathsf{volume = \dfrac{1}{2}\times 4.4\ m \times 2.5\ m\times 6.1\ m}[/tex]

[tex]\mathsf{volume = 0.5\times 4.4\ m \times 2.5\ m\times 6.1\ m}[/tex]

[tex]\mathsf{volume = 2.2\ m\times 15.25\ m}[/tex]

[tex]\mathsf{volume = 33.55}[/tex]


[tex]\huge\textsf{Therefore your \boxed{\bf answer} should be:}[/tex]

[tex]\huge\boxed{\mathsf{volume = 33.55m^2}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]

Choose ALL correct answers.
Which of the following tables are non-linear?

Answers

Answer: the tables that are non-linear would be A, B, and F i’m pretty sure.

PLEASE HELP ASAP!!! 100 POINTS AND BRAINLY!!!

Answers

I belive it’s 5 pound since 8x5=40

If p is the pounds bought we want...

8p ≥ 40

p ≥ 5

You pick a card at random What is P(factor of 48)?

Answers

Answer:

48 = {1,2,3,6,8,48.}

Step-by-step explanation:

These are the factors if 48. if it's correct please let me know.

most factors of 48 are even so your anwser may be 8.

The number of hours, y, it takes to drive from town P to town Q is inversely proportional to the average speed of a car, x miles per hour. It takes Jeremiah 3 1/2 hours to drive from town P to town Q at an average speed of 60 miles per hour on a particular day. How long will it take Jeremiah to travel from Town P to Town Q if his average driving speed is 70 miles per hour instead?

Answers

Answer: up to 120 pieces

Step-by-step explanation:

it will take Jeremiah 3 hours to travel from Town P to Town Q if his average driving speed is 70 miles per hour instead.

PLEASE HELP ME :DDDDDDDDDDDDDD

Answers

Answer:

Step-by-step explanation:

To find the area of a rectangle, you multiply the length by the height.

First, we need to convert the mixed numbers to improper fractions:

Length: 6 3/4 ft = (6 x 4 + 3) / 4 ft = 27 / 4 ft

Height: 2 2/12 ft = (2 x 12 + 2) / 12 ft = 26 / 12 ft = 13 / 6 ft

Now we can calculate the area:

Area = Length x Height

Area = (27 / 4) ft x (13 / 6) ft

Area = 351 / 24 ft^2

Area = 14 11/24 ft^2

Therefore, the area of the rectangle is 14 11/24 square feet.

The population of a city decreases by 1.7% per year. If this year's population is 192,000, what will next year's population be, to the nearest individual?

Answers

Answer: 188,736

Step-by-step explanation:

The original amount is 192,000. Every year, the population decreases by 1.7%, which means that the population is 98.3% of last year's.

0.983 * 192,000 = 188,736

 

1.7% is equivalent to 0.017 as a decimal. So the calculation is:

next year's population = 192,000 x (1 - 0.017) = 188,736

Rounded to the nearest individual, next year's population will be 188,736.

Please help me ! i need this done now!

Answers

B the answer would be 10 due to the figure being 90 degrees and separated to 60 and 3x. The x would be 10 as 3x10 would be added to make 30 and finally you will add 60+30 making sure it's 90.

Answer is 10 (B)
the answer to ur question is 30

help ty..:)))))))))............................................

Answers

Answer:

3 times more

Step-by-step explanation:

mangos: m = 108

portugals:  p

oranges:     o = 3p

108 + p + 3p = 540

108 + 4p = 540

4p = 540-108 = 432

p = 432/4 = 108

o = 3p = 3(108) = 324

324/108 = 3  there are 3 times more oranges than portugals

Answer:

1620

Step-by-step explanation:

540 X 3 = 1620

1.) 25 - 3x = 88
2.) -11 = 7 - x
3.) 95 = -4 + 33x​

Answers

Answer: hope this helps ♡

1.) x = -21

2.) x = 18

3.) x = 3

Step-by-step explanation:

(minus&minus = plus)       (minus&plus = minus)        (plus&minus = minus)

1.) 25 - 3x = 88

25 - 25 - 3x = 88 - 25

-3x = 63

-3x ÷ 3 = 63 ÷ 3

-x = 21 → x = -21

2.) -11 = 7 - x

-11 - 7 = 7 -7 -x

-18 = -x

18 = x → x = 18

3.) 95 = -4 + 33x​

95 + 4 = -4 + 4 + 33x

99 = 33x

99 ÷ 33 = 33x ÷ 33

3 = x → x = 3

[tex] \text{1 ] 25 - 3x = 88 }[/tex]

[tex] \rm{↣25 - 3x = 88} \\ \rm↣- 3x= 88 - 25 \\ \rm↣- 3x = 63 \\ \rm↣x = \cancel \frac{63}{ - 3} \\ \underline{ \underline{\rm ↣\purple{ \: x = -21 \: }}}[/tex]

[tex] \: [/tex]

_________

[tex] \text{2 ] -11 = 7 - x }[/tex]

[tex] \rm \: ↣-11 = 7 - x \\ \rm↣ -11 - 7 = -x \\ \rm↣ \cancel- 18 = \cancel -x\\\underline{ \underline{ \rm↣ \pink{x = 18}}}[/tex]

[tex] \: [/tex]

_________

[tex] \text { 3 ] 95 = -4 + 33x }[/tex]

[tex] \rm \: ↣ 95 = -4 + 33x \\ \rm↣ 95 + 4 = 33x \\ \rm↣ 99 = 33x \\ \rm ↣ \cancel \frac{99}{33} = x \\ \rm ↣3 = x \\ \underline{ \underline{\rm \color{hotpink}↣x = 3}}[/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps:)

Find the surface area of the figure below. Round your answer to the nearest whole number.

Answers

The surface area of the object is 24

Answer quick for 10 points!

Answers

Answer:

I think D? sry if its wrong tho :/

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Identify the least value, first quartile, median, third quartile, and greatest value of the data.
5, 1, 4, 0, 9, 0, −8, 5, 2, 4, −1, 10, 7, −5

Answers

Answer: 10 is the greatest and -8 is the least

Step-by-step explanation:

10 is the biggest number and even though -8 is a big number when you have it in the "-" the bigger the number is the less they are

identify the errors
(Select all that apply.)
Calculation errors when distributing -1
Calculation errors when distributing h2
Calculation errors when distributing 9h
Calculation errors when combining h2 terms
Calculation errors when combining h terms

Answers

Answer:

1 and 3

Step-by-step explanation:

Answer:

i think i and 3 prolly :0

Step-by-step explanation:

What is the area of a right triangle with a height of 8.9cm and a base of 14.3cm?

Answers

Answer:

ar of triangke is 1 /2 base*height

so

ar = 1/2 * 8.9*14.3

ans = 63.63 sq cm

Answer: 63.63cm

Step-by-step explanation: To find the area for a triangle, the formula is A=L*W divided by 2. So you want to do A=14.3*8.9/2= 63.63500 (63.63).

Have a good day.

**URGENT**
Bobby has $5b dollars in his pocket. He goes to the mall and spends $23b on a new shirt, $16 on a hat, and $8 on lunch. How much money does Bobby have left?

I NEED the expression and the answer

Answers

Answer:this question does not make sense to fix it and ask again

Step-by-step explanation:

If $5b means $50 then Bobby has $3 left

A hollow ball is made of rubber that is 2 centimeters thick. The ball has a radius to the outside surface of 6 centimeters.

What is the approximate volume of rubber used to make the ball?

Use 3.14 for pi.

Responses

33.5 cm³
33.5 cm³

267.9 cm³
267.9 cm³

636.4 cm³
636.4 cm³

904.3 cm³

Answers

Answer:

636.4 cm³

Step-by-step explanation:

636.4 to the third power

Find the measure of ∠YOZ by answering the questions.
1. Find the measure of ∠WOV. Which angle relationship did you use? (3 points)
2. Now find the measure of ∠YOZ. Which angle relationship did you use? (3 points)
3. Check your answer by using another strategy to find the measure of ∠YOZ. Describe your strategy, and show that it gives the same measure for ∠YOZ. (4 points)

Answers

Answer:1. The measure of ∠WOV is 60°. You would use complementary angles that are adjacent (∠WOV, and ∠XOW)

2. The measure of ∠YOZ is 60°. You would use the vertical angles that are non-adjacent (∠WOV, and ∠YOZ). These two angles are congruent so they would have the same measure. These angles combined also create supplementary angles

3. Another way to find the measure of ∠YOZ would be to make/write an equation and solve for x. For example, (3x+30)°=60°. x would equal 10 because 10x3=30+30=60°

Step-by-step explanation:

1. Since a complementary angle would equal 90°, simply subtract 30° from 90° resulting in 60°.

2. Because vertical angles are congruent and (∠WOV, and ∠YOZ) are a pair of them, they equal the same as each other so they're both 60°.

3. You can make any equation with x included as long as it equals 60° mine was just an example you can make your own like 10x+10=60 or 4x+20=60. Also to create your equation you also need to use the angle fact of the vertical angles

Could someone please help?

Answers

Answer:

25 gallons35 gallons

Step-by-step explanation:

You want the number of gallons of gas used by car 1 at 25 mpg and car 2 at 40 mpg when the total gas used for driving 2025 miles is 60 gallons.

Setup

Let x represent the number of gallons used by car 2 at 40 miles per gallon. Then the gas used by car 1 is (60 -x). The number of miles driven is the product of miles per gallon and gallons used.

  25(60 -x) +40x = 2025 . . . . total miles driven

Solution

Simplify the equation:

  1500 +15x = 2025

  15x = 525 . . . . . . . . . . subtract 1500

  x = 35 . . . . . . . . . . divide by 15

  60-x = 25 . . . . . gallons used by car 1

The first car used 25 gallons; the second car used 35 gallons.

__

Additional comment

The first car drove 25·25 = 625 miles; the second car drove 40·35 = 1400 miles.

625 gallons, second one is a little more difficult

Please help me I want this done today.

Answers

B is correct. B is rights because at the end of the equation you need to divide by 1 so it all equals out.

Answer:

Choose Choice B

Step-by-step explanation:

45-19 is 26.

All of the other equations don't make sense except B

A point at (-7, -6) is reflected over the x-axis. What is the distance between the point and its reflection?

A. 6 units

B. 14 units

C. 12 units

D. 7 units

Answers

The answer would be 12 units
The answer is C 12 units

Can someone please help me

Answers

Rate of change= (y2-y1)/(x2-x1), in this case the rate of change is 2
2

the formula for rate of change is
(Y2 - Y1)/(X2-X1).

Plug in any 2 random coordinates.

(6-4)/(5-4)

2/1

2

can someone pls help

Answers

Step-by-step explanation:

A triangle has its interior angle sum as 180°

[tex]{ \tt{ \angle R + \angle S + \angle T = 180 \degree}}[/tex]

[tex]{ \colorbox{silver}{input \: angles}} \\ \\ { \tt{31 \degree + (x + 4) \degree + (3x + 9) \degree = 180 \degree}} \\ \\ { \tt{44 + 4x = 180 \degree}} \\ \\ { \tt{4x = 136}} \\ \\ { \tt{x = 34}} \\ \\ { \colorbox{silver}{for \:R }} \\ \\ { \tt{ m\angle S =x + 4 = 34 + 4}} \\ \\ { \boxed{ \tt{m \angle S = 38 \degree}}} \\ \\ { \colorbox{silver}{for \:T }} \\ \\ { \tt{m \angle T = 3x + 9 = (3 \times 34) + 9}} \\ \\ { \tt{m \angle T = 111 \degree}}[/tex]

what are these fractions in their simplest forms? (pic below )

Answers

Answer:

SEE BELOW.

Step-by-step explanation:

1) 5/40

gcf = 5

5 ÷ 5 /    40  ÷ 5

= 1/8

2) 2/12

1/6

3) 3/9

= 1/3

4) 4/36

1/9

5) 6/40

3/20

6) 7/49

1/7

7) 6/50

3/25

8) 8/12

4/6

2/3

9) 9/90

1/10

10) 14/32

7/16

11) 25/65

5/13

12) 18/64

9/32

13) 24/54

4/9

14) 8/60

4/30

2/15

15) 22/34

11/17

16) 35/84

5/12

17) 48/104

6/13

18) 16/128

1/8

19)36/108

= 1/3

20) 38/152

1/4

1-.125
2-.1666
3.333333
4-.11111
5-.15
6-.142857
7-.12
8-.666666
9-.1
10-.43375
11-.3846
12-.28125
13-.44444444
14-.133333
15-.647059
16-.4166666
17-.4615
18-.125
19-.3333333
20-.25


I think it's like that.
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