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.

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

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

HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

Step-by-step explanation:

its prolly c

The answer is B because the range is greater

Help asap I will mark you as a brainliest

Answers

Answer:

with what exactly

Step-by-step explanation:

where’s the question?

Combine like terms to simplify the expression below.

12(6x+4)+5x−8

Answers

12 (6x + 4) + 5x -8

First you’d need to distribute the 12 in order to begin combining like terms.

72x + 48 +5x -8

Circle which have an exponent which would be 72x and +5x which would be 77x

Box the numbers without exponents and combine those 48 -8 which equals 40

77x + 40

There is no number that these two share so there is no way for them to be simplified so your answer is just 77x + 40.

12(6x +4) + 5x - 8

Distribute the 12 to the 6x and 4.

72x + 48 + 5x - 8

Combine 72x and 5x since they both have the variable x.

77x + 48 - 8

Combine 48 and 8 because they both have no variable

77x + 40

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

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.

Write a scenario to represent the inequality 2x < 64. Be sure to define the variable.

Answers

Answer:

See explanation

Step-by-step explanation:

2x<64 [divide the 2 and 64 from both sides]

2x\2<64\2

x=32

(show work pls and ty)

Answers

1. Find the constant of proportionality (K).

K=2.5 because 5 divided by 2 is 2.5. You can even check this by dividing 12.5 by 5 and still get 2.5

2. Write the proportional equation using the table below.

(1 bottle =2.5 liters)
6 bottles X 2.5 liters

3. How many liters of soda can 6 bottles hold?

6 bottles = 15 liters

Answer: 15

The graph represents a relation where x represents the independent variable and y represents the dependent variable. a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 2 comma negative 2, at 0 comma 2, at 1 comma 3, and at 5 comma 1 What is the domain of the relation? {−5, −2, 0, 1, 2, 3, 5} {−5, −2, −1, 0, 3, 5} {−5, −2, 0, 1, 5} {−2, 0, 1, 3}

Answers

Answer:

domain is -5,-2,01,5

Step-by-step explanation:

domain are all the x's

Domain is -5, -2, 01,5

Suppose you bought a house for $467,520 and the value has increased by 19%. What is the new value of the house in dollars? Round your answer to the nearest hundredth.
please explain

Answers

Answer:

19÷100×467520=88828.8

88828.8+467520=556348.8

Nearest hundred=$556300

Nayeli went shopping for a new video game because of a sale. The store was offering a 45% discount. If the price on the tag was $44, what would be the price after the discount but before tax, to the nearest dollar and cent?

Answers

Answer:$20
Working: 45% of $44 is $19.8
To the nearest dollar is $20

Answer:

Step-by-step explanation:

45 % discount means 55/100.

55/100 x $44

simplify

0.55 x 44

= (5 x 44) + (50 x 44)

() = 220

220 +?

() = 2200

220 + 2200 = 2420

move the decimal back, and then... $24.20

The answer would be $24.20

1. What is the median number of TVs in Mrs. Jamison's class?
2. What is the median number of TVs in Mr. Zimmerman's class?

Answers

1. median of 2
2. median of 3

Can anyone help? I only need the answer

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Hope this helped you!

The two ordered pairs are (4,-2) and (-2,2)

PLS HELP
What is the sum of -2x³ + x-3 and x³ - 3x - 4? Show your work.

Is the sum of -2x³ + x-3 and x³ - 3x - 4 equal to the sum of x³ - 3x - 4 and -2x³ + x-3? Explain your answer.

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Yes it is thanks to g 00 gl3

Yes, the two equations are equivalent because only the commutative property was applied.

Answer this for me!!

Answers

Answer:

A because it is 2 time the triangle’s formula.

Hi! I don't really get what or how to solve this question.

Which of the following sets of measurements cannot represent the three side lengths of a triangle?
A. 5cm, 5cm, 5cm
B. 5cm, 6cm, 7cm
C. 5cm, 7cm, 12cm
D. 5cm, 10cm, 11cm

Answers

Answer:

C and D

Step-by-step explanation:

you could draw them connecting to each other using your ruler and predict if ita a triangle or not .

also the sum of any 2 sides of a triangle must be greater than the measure of the third side unless equilateral Triangle

The answer is C and D. If you can only choose one choose C

Find the volume of the pyramid. Round to the nearest tenth if necessary.

Answers

Answer:

410.6 cubic cm

Step-by-step explanation:

Formula V = (l x w x h) / 3

V = ( 8 x 14 x 11) / 3

V = 1232 / 3

V = 410.6 cubic cm

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 variables y and x have a proportional relationship, and y = 7 when x = 2.
What is the value of y when x = 5?

Enter your answer as a decimal in the box.

y = ___

Answers

Answer:

17.5

Step-by-step explanation:

x=2

y=7

when y by x, then multiple y by 5.

7/2= 3.5

3.5×5= 17.5

you can also do 7x2 which would give you 14 and then divide 7 by 2 to get 3.5, and add the two together, so 14+3.5=17.

i need help with this question

Answers

Answer: 33

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

Answer:

Step-by-step explanation:

Find the tables with unit rates greater than the unit rate in the graph. Then arrange these tables in order from least to greatest unit rate. У 70 и ойук УКЬБУика 65 60 55 50 45 43 35 30 25 20 15 10 5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 2023 Edmentum. All rights reserved. X x y 7 13 14 26 xy 59 10 18 xy 9 17 18 34 xy 11 21 22 42 xy 10 19 20 38 x y 13 25 26 50 x y 12 23 24 46

Answers

The tables with greater unit rate than the graph are given as follows:

Table 1.Table 3.Table 4.Table 5.Table 6.Table 7.

What is a proportional relationship?

A proportional relationship is defined according to the equation presented as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one, thus being also called unit rate.

The unit rate of the graph is given as follows:

k = 20/11

k = 1.82.

For each table, the rate is given as follows:

Table 1: 13/7 = 1.86.Table 2: 9/5 = 1.8.Table 3: 17/9 = 1.89.Table 4: 21/11 > 20/11.Table 5: 19/10 = 1.9.Table 6: 25/13 = 1.92.Table 7: 21/12 = 1.91.

More can be learned about proportional relationships at https://brainly.com/question/7723640

#SPJ1

They deleted the question, but you can help me on this math.

Answers

Step-by-step explanation:

8 / pound

so if he give 40 $ fo candy then 40/8

= 5 so he will buy 5 pound candy

answer is 5pound
40 divided by 8 is 5 so the answer will be 5 pound 8 unit = 1 pound
40=5 pound

Can someone help asap I will make you the brainliest

Answers

Answer: P = 3a

Step-by-step explanation:

3(4x - 8)

12x-24

12x = 24

x = 24/12

x=2

3(4X2 = 8 - 8)

3(0)

Tickets to a movie cost $9.25 each. What is the total cost for 6 tickets?

Answers

9.25x6=55.5
hope this helps

Help me please best answer will get brainliest

Answers

Maybe 30 because 45 is longer then x line and it would be less ( Don't know for sure tho)

Answer this for me!!

Answers

Answer:

A = 48 cm²

Step-by-step explanation:

This figure can be thought of as a rectangle 4 cm by 8 cm in the middle and one triangle on the left side and a congruent triangle on the right side. The triangles have 8 cm bas and 2 cm height.

total area = area of rectangle + 2 × area of triangle

total area = (4 cm)(8 cm) + 2 × (8 cm)(2 cm)/2

total area = 48 cm²

The answer is C. Hope this helps.

What is the value of \dfrac{x^2}{y^4}
y
4

x
2

start fraction, x, squared, divided by, y, start superscript, 4, end superscript, end fraction when x=8x=8x, equals, 8 and y=2y=2

Answers

Answer:4

Step-by-step explanation:

Put the numbers in the expression in place of the corresponding variables and do the arithmetic.

Answer:

Step-by-step explanation:

Note: Enter your answer and show all the steps that you use to solve this problem

108 is 36% of what number? Write and solve a proportion to solve the problem.

Answers

First write the proportion to find the missing value, which I will replace it with n.
108/n = 36/100
Next write the cross products. So, 36n = 108 x 100 = 10,800
divide each side by 36.
36n/36 = 10,800/36
Lastly simplify. Which will be, n = 300.
so my answer is 108 is 36% of 300.

This is how I was taught:

1. Take the percentage (36%) and change it to a decimal (.36)

2. Set up the equation.

.36x = 108

3. Divide both sides by .36

x = 300

A rectangular pyramid is represented by the net shown below. What is the surface area of the pyramid? Responses 155 square units 155 square units 68.75 square units 68.75 square units 195 square units 195 square units 97.5 square units.(5.1h, 4h, 8b,5 at the side.)

Answers

Answer: b or c

Step-by-step explanation:

A pet store specializes in exotic fish. The graph shows a proportional relationship between the number of fish and the number of fish tanks at the store. Fish 65 52 39 26 13 0 1 2 3 4 Fish Tanks 5 6 X The constant of proportionality shown in the graph in terms of the number of fish per fish tank is

Answers

Answer:

Step-by-step explanation:

if there are 5 tanks and 65 fish in all the tanks together, you take 65 and divide it by 5 to get 13 fish in each tank

: )

Answer:

10.84.

Step-by-step explanation:

To find the constant of proportionality, we can use the fact that the relationship between the number of fish and fish tanks is proportional. This means that the ratio of the number of fish to the number of fish tanks is always the same.

From the graph, we can see that when there are 65 fish, there are 5 fish tanks. When there are 52 fish, there are 6 fish tanks. Let's use these two data points to find the constant of proportionality:

The constant of proportionality = (Number of fish) / (Number of fish tanks)

For the first data point, we have:

65 / 5 = 13

For the second data point, we have:

52 / 6 = 8.67

We can see that these two values are not the same, which means that the relationship between the number of fish and the number of fish tanks is not exactly proportional. However, we can still find an average constant of proportionality between these two values:

(13 + 8.67) / 2 = 10.84

So the constant of proportionality, in terms of the number of fish per fish tank, is approximately 10.84.

Easy brainly for anyone who can solve this

(747+21) - (629 -12) +83 x 24

Answers

Answer:

83x^24+151

Step-by-step explanation:

768-(629-12)+83x^24

768-617+83x^24

83x^24+(768-617)

83x^24+151

How do you simplify rational expressions

Answers

Answer:
Ok so,
Step-by-step explanation:
Step 1: Factor the numerator and the denominator.
Step 2: List restricted values.
Step 3: Cancel common factors.
Step 4: Reduce to lowest terms and note any restricted values not implied by the expression.

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