Given the following rectangles, identify all combinations of assembling these rectangles for which it is possible to create a rectangle with the length of and the width with no gaps or overlapping. You can't cut any of the rectangles but you may use some of them multiple times. More than one answer may be correct; mark all that apply. Rectangles you are given:

Answers

Answer 1

Answer:

(b) and (d)

Step-by-step explanation:

Given

See attachment for complete question

Required

Which group forms a rectangle of

[tex]Length = 15[/tex]

[tex]Width = 11[/tex]

First, calculate the area of the big rectangle

[tex]Area = Length * Width[/tex]

[tex]A_{Big} = 15 * 11[/tex]

[tex]A_{Big} = 165[/tex]

Next, calculate the area of each rectangle A to E.

[tex]A_A = 11 * 7[/tex]

[tex]A_A = 77[/tex]

[tex]A_B = 2 * 11[/tex]

[tex]A_B = 22[/tex]

[tex]A_C = 6 * 6[/tex]

[tex]A_C = 36[/tex]

[tex]A_D = 6 * 5[/tex]

[tex]A_D = 30[/tex]

[tex]A_E = 13 * 4[/tex]

[tex]A_E = 52[/tex]

Then consider each option.

(a) 3E + 2B

[tex]3E + 2B = 3 * 52 + 2 * 22[/tex]

[tex]3E + 2B = 156 + 44[/tex]

[tex]3E + 2B = 200[/tex]

(b) A + B + C + D

[tex]A + B + C + D = 77+22+36+30[/tex]

[tex]A + B + C + D = 165[/tex]

(c) 2C + 2D + 2B

[tex]2C + 2D + 2B = 2 * 36 + 2 * 30 + 2 * 22[/tex]

[tex]2C + 2D + 2B = 72 + 60 + 44[/tex]

[tex]2C + 2D + 2B = 176[/tex]

(d) A + 4B

[tex]A + 4B = 77 + 4 * 22[/tex]

[tex]A + 4B = 77 + 88[/tex]

[tex]A + 4B = 165[/tex]

(e) E + C + D + 3B

[tex]E + C + D + 3B = 52 + 36 + 30 + 3 * 22[/tex]

[tex]E + C + D + 3B = 52 + 36 + 30 + 66[/tex]

[tex]E + C + D + 3B = 184[/tex]

Recall that:

[tex]A_{Big} = 165[/tex]

Only options (b) and (d) match this value.

[tex]A + B + C + D = 165[/tex]

[tex]A + 4B = 165[/tex]

Hence, options (b) and (d) are correct

Given The Following Rectangles, Identify All Combinations Of Assembling These Rectangles For Which It

Related Questions

Direct Variation

There are about 100 calories in 30 grams of Swiss cheese. Ruth ate 70 grams of this cheese. About how many calories were in the cheese that she ate if the number of calories varies directly as the weight of the cheese?

a. 224
b. 280
c. 218
d. 233

Please select the best answer from the choices provided

Answers

Answer:

d.233 is the answer

Step-by-step explanation:

hope it helps you

Find the product and fill in the blanks to write in standard complex number form.
(5+3)(8 - 2) =

Answers

Answer:

14

Step-by-step explanation:

Find the product and fill in the blanks to write in standard complex number form.

kamal earned a total of $32500 in 2017
he paid 9% of his amount into his pension
he paid 22% tax on the remainder of his earings

what is the amount left after paying his pension and his tax???
need the working.

Answers

$32500 * 0.09 = 2925

32500-2925 = 29575

29575 * 0.22 = 6506.5

Amount left: 29575 - 6506.5 = 23068.5

compete the two column proof​

Answers

Answer:

i cant read half the stuff on the paper

bye

Write each percent as a common fraction

16 2/3

Answers

9514 1404 393

Answer:

  1/6

Step-by-step explanation:

16 2/3% = (16 2/3)/100 = (50/3)/100 = 50/300 = 1/6

The length, l, that a spring is stretched varies directly as the amount of force, F, applied to the end of the spring. When a force of 10 pounds is applied to a spring, it stretches 3 inches. How much will the same spring stretch if the force is increased to 15 pounds?
A.
8 inches
B.
7.5 inches
C.
4.5 inches
D.
2 inches

Answers

Answer:

C. 4.5 inches

Step-by-step explanation:

Given the following data;

Force, F = 10 pounds

Extension, e = 3 inches

First of all, we would determine the spring constant (k) using the following formula;

Force = spring constant * extension

10 = spring constant * 3

Spring constant = 10/3

Spring constant = 3.33 pounds per inches.

Next, we would find the extension of the spring when a force of 15 pounds is applied;

F = ke

15 = 3.33 * e

Extension, e = 15/3.33

Extension, e = 4.5 inches.

3.04 divided by 0.04

Answers

Answer:

76

Step-by-step explanation:

3.04/ 0.04=76

X2
2
ab
ab to
b
The diagian
K
n shows
rectangle. The shade
Find x.

Answers

Answer:

x = 28 cm

Step-by-step explanation:

Given:

Area of link shaded regions = 84 cm²

Required:

The value of x (diameter of the semicircle/length of the rectangle)

Solution:

Diameter of the semicircle = 2r = x

Length of rectangle (L) = 2r = x

Radius of semicircle (r) = ½x

Width of rectangle (W) = radius of semicircle = ½x

Use 3.14 as π

Area of the link shaded regions = area of rectangle - area of semicircle

Thus:

Area of the link shaded regions = (L*W) - (½*πr²)

Plug in the values

84 = (x*½x) - (½*3.14*(½x)²)

84 = x²/2 - (1.57*x²/4)

84 = x²(½ - 1.57/4)

84 = x²(0.5 - 0.3925)

84 = x²(0.1075)

Divide both sides by 0.1075

84/0.1075 = x²

781.4 = x²

√781.4 = x

27.9535329 = x

x = 28 cm

i will give Brainiest if your right

Answers

Answer:

I'm always right B-) SHEESH

Find the value of x.

Answers

Answer:

[tex] \frac{(x - 8) + 4}{(x - 5) + 3} = \frac{4}{3} \\ \frac{x - 4}{x - 2} = \frac{4}{3} \\ 3(x - 4) = 4(x - 2) \\ 3x - 12 = 4x - 8 \\ x = - 4[/tex]

Which equation is not equivalent

Answers

Answer:

C

Step-by-step explanation:

(2x+3)(x+4) = 2x² + 8x + 3x + 12

                  = 2x² + 11x + 12     ≠  2x² + 10x + 12

Evaluate the 6 trig functions of the angle e. (please make sure to reduce ALL fractions)! 6 8 sin o 1 CSCA = cos e sec 0 tan cote​

Answers

Answer:

I can't really see the question. Maybe the below will help anyway

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

Which set is a proper subset of the counting numbers?

{−1,0,1}
{5}
{0}
{1,2,3,…}

Answers

Answer:

{5}

Step-by-step explanation:

Set of counting numbers:

Set of numbers you count with, starting from 1. So

C = {1,2,3,4,5,....}

Proper subset of a set:

A proper subset of a set A is a subset B that is not equal to A, that is, all elements of B are in A but A has at least one element that is not in B.

In this question:

The set of counting numbers is C = {1,2,3,4,5,....}

Among the options, {-1,0,1} and {0} are not subsets of C, as they contain elements that are not in C, while {1,2,3,...} is not a proper subset, as it is equals to C. So the correct answer is {5}.

Multiply (3x - 2)(4x - 7).
7x² - 13x+5
B)
7x2 - 29x + 14
C)
12x2 - 13x + 14
D)
12x2 - 29x + 14

Answers

Answer:

D

Step-by-step explanation:

...............

.

....

Step-by-step explanation:

[tex] \tt \mapsto \:(3x - 2)(4x - 7) \\ \tt \mapsto \:3x(4x - 7) - 2(4x - 7) \\ \tt \mapsto \: {12x}^{2} - 21x - 8x + 14 \\ \tt \mapsto \: {12x}^{2} - 29x + 14[/tex]

Option D is correct

Find the value of the tangent for ZA.
40 in
12 in
391
CH
91
91
10
b.
3
d.
1091
3
10
Please select the best answer from the choices provided

Answers

Answer:

a

Step-by-step explanation:

a

Pls help 10 ptsssssssssssss
NO LINKS
I MEAN IT I WILL FLAG YOU

Answers

Answer:

20

Step-by-step explanation:

its is 20 for both because the 0 and 20 are the same.

A football coach expects 453 people to come to the next game. A set of bleachers holds 56 fans. If each set of bleachers costs​ $99, will the coach need to spend more than​ $1,000 for the​ bleachers? How can you decide without using​ division? and links are included to but if it is to cheat i am reporting them

Answers

Answer:

No need to spend more than $ 1,000

Step-by-step explanation:

assume the coach needs 10 set

10 set will cover 10×56 = 560 people that more than 453.

so,

the cost is only 10× $99 = $ 990

that less than $ 1,000

Answer:

Fewer  than 10 sets of bleachers are needed. This is because 5610  560​, which is greater than  453. The cost of 10 sets of bleachers would be ​$9910​ $ 990​, which is  less than  ​$1,000. The coach  will not  need to spend more than​ $1,000 for the bleachers.


1)Lesley's fruit salad contains 40% grapes. Circle the figure that represents 40%.

Answers

the last one

Step-by-step explanation:

it is 40/100

Which graph represents the solution set of the inequality x+2267
-1 0
3
.
10
9 -
1
3
5.
B
O +
-6--4--221
0
1
3
15
-6
1
10
1

Answers

Answer: D

Step-by-step explanation:

Using the gross profit method, find the estimated cost of goods sold for the following data and
net sales value of $600.00 to estimate inventory if gross profit on sales is 30 percent.
• January 1 inventory: 320 serving trays purchased at $1.50 per unit cost
• April 1 inventory: 300 serving trays purchased at $1.10 per unit cost
• July 1 inventory: 100 serving trays purchased at $2.00 per unit cost
O $1,010.00
O $420.00
O $200.00
O $330.00

Answers

Answer:

$420.00

Step-by-step explanation:

What is an equation of the line that passes through the points (4, -1) and
(-8, –7)?

Answers

Answer:

y=1/2x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-(-1))/(-8-4)

m=(-7+1)/-12

m=-6/-12

m=1/2

y-y1=m(x-x1)

y-(-1)=1/2(x-4)

y+1=1/2x-4/2

y=1/2x-2-1

y=1/2x-3

Help ASAP WILL GIVE BRAINLY!!

Need help on all answers/ show work

Answers

Answer:

Jdjdkdjdjdjdjfjfjdjfjdkdjdjdjdjdjdjdjfjjff

Answer: See photo

Step by step solution: See photo

Write the opposite of the situation:
8 yd. gain in foot ball
pls help will give brainiest for fast and correct answer

1

Answers

Answer:

-8 yd. lost in football

Step-by-step explanation:

-picture linked-
ILL MARK BRAINLIEST

PLEASE HELP ME ASAP

Answers

Answer:

a

Step-by-step explanation:


You find a mutual fund that offers approximately 6% APR compounded
monthly. You will invest enough each month so that you will have $1000 at
the end of the year. How much money will you have invested in total after 1
year?
O A. $711.32
O B. $994.60
O c. $912.86
O D. $972.84

Answers

I would have to go with answer d

$972.84 is invested in total after 1 year.

Correct option is (D)

What is compound interest?

Compound interest is generally understood to be interest that is earned on both the original investment and any subsequent interest. Compound interest is, thus, the interest earned on both the initial principal and the interest that has already been accrued on this principal.

As per the given data:

Compounding frequency (n) = 12

Final value (FV) = $1000

Time period (t) = 12 months = 1 year

[tex]FV = P(1+\frac{r}{n})^{nt}[/tex]

FV – Future worth of the investment is the final balance in our calculation.

P – Initial balance (the value of the investment);

r – Annual interest rate (in decimal);

n – Number of times the interest is compounded per year (compounding frequency); and

t – Numbers of years the money is invested for.

Substituting the given values

[tex]1000 = P(1+\frac{0.06}{12})^{12 \times 1}[/tex]

[tex]P = \$ 972.84[/tex]

Hence, $972.84 is invested in total after 1 year.

To learn more about compound interest, click:

brainly.com/question/13155407

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Let Y1 < Y2 < Y3 < Y4 < Y5 be the order statistics of five independent observations from an exponential distribution that has a mean of θ = 3. (a) Find the p.d.f. of the sample median Y3. (b) Compute the probability that Y4 is less than 5.

Answers

Answer:

a) [tex]10[1-e^{-y/3} ] ^{2} e^{-y}[/tex]

b)    ≈ 0.76

Step-by-step explanation:

Given that : Y1 < Y2 < Y3 < Y4 < Y5   are the order statistics of five independent observations

mean of θ  = 3

a) Determine the P.d.f of the sample median

P.d.f of sample median ( y3 ) = [tex]10[1-e^{-y/3} ] ^{2} e^{-y}[/tex]    

attached below is the detailed solution

b) determine the probability that Y4 is < 5

p( Y4 < 5 ) = G4( 5 )

                 = 0.7599 ≈ 0.76

attached below is the detailed solutions

what's the answer to this? (Zearn)

Answers

Answer: 68 1/18

Step-by-step explanation:

Area of the large rectangle:

11 1/3 x 7 = 79 1/3

Area of tiled floor:

4 5/6 x 2 1/3 = 11 5/18

79 1/3 - 11 5/18 = 68 1/18

Answer:

68 1/18

Step-by-step explanation:

7 x 11 1/3 = 79 1/3

4 5/6 x 2 1/3 = 11 5/18

79 1/3 - 11 5/18 = 68 1/8

If 8 people invest each in a stamp collection and after a year the collection is worth $3,800, how much did each person lose? show work​

Answers

This question is incomplete, the complete question is;

If 8 people invest $500 each in a stamp collection and after a year the collection is worth $3,800, how much did each person lose? show work​

Answer:

Each person lost $25

Step-by-step explanation:

Given the data in the question;

Number people that invested = 8

Amount each invested = $500

worth after a year the collection = $3,800

Now, the amount each person lost will be;

[tex]Lost_{each-person[/tex] = Total loss / total number of persons

[tex]Lost_{each-person[/tex] = [ ( 500 × 8 ) - 3800 ] / 8

[tex]Lost_{each-person[/tex] = [ 4000 - 3800 ] / 8

[tex]Lost_{each-person[/tex] = 200 / 8

[tex]Lost_{each-person[/tex] = 25

Therefore, each person lost $25

What is the image of (1, -1) after a dilation by a scale factor of 4 centered at the origin?

Answers

Answer:

5, 3

Step-by-step explanation:

1,-1  enlarged by 4

New coordinates = 4 + 1 = 5

-1 + 4 = 3

The required scaled image of (1, -1) after dilation by scale factor 4 is (5,3).

As per the question, determine the image of (1, -1) after dilation by a scale factor of 4 centered at the origin.

What is the scale factor?

The scale factor is defined as the ratio of modified change in length to

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph

Here,
The dilation of the coordinate by a scale factor of 4 can be given as,
x = 1 + 4 = 5
y = -1 + 4 = 3

Thus, the required scaled image of (1, -1) after dilation by scale factor 4 is (5,3).

Learn more about Scale factors here:

https://brainly.com/question/22312172

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3. Which graph shows the probability distribution of the spinner (red, green, blue, yellow)?

Answers

Answer: the first graph does

Step-by-step explanation:

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