A large rectangle is made up of nine identical rectangles whose longer side equals 10. What is the area of the large rectangle?

Answers

Answer 1

• On the top row of rectangles, the length is 10 + 10 = 20
• The middle row has 5 rectangles with all of their short sides equaling the top row, 20
• So 5x = 20 where x is the short side of the rectangle
• x = 4
• So each rectangle’s area = 4 x 10 = 40
• There are 9 rectangles
• So 9 x 40 = 360 = area of the large rectangle
• We can check our work
• Large rectangle side 1 = 10 + 10 = 20
• Large rectangle side 2 = 4 + 10 + 4 = 18
• 18 x 20 = 360

Answer 2

Answer: 360 square units

==========================================================

Explanation:

Refer to the diagram below.

A small rectangle has its longer side equal to 10 and its shorter side is x, which is some real number on the interval 0 < x < 10.

Across the top, the two sides of length 10 add to 20. So the larger rectangle has a horizontal dimension of 20 units.

The vertical side of the larger rectangle is x+10+x = 2x+10 units

The area would be

area = length*width = 20(2x+10) = 40x+200

Each of the nine smaller rectangles has area of length*width = 10x. Since we have 9 identical copies, the smaller rectangle areas must add to 9*10x = 90x

---------------

Equate those two expressions and solve for x

90x = 40x+200

90x-40x = 200

50x = 200

x = 200/50

x = 4

So each smaller rectangle has area of 10*x = 10*4 = 40 square units. In total, the nine smaller rectangles combine to an area of 9*40 = 360 square units

Note how x = 4 leads 40x+200 to result in 360 as well.

Related Questions

Determine if the sequence 0.2 comma 1 comma 5 comma 25 comma... is arithmetic or geometric. Then identify the next term in the sequence.

A
geometric; 125

B
arithmetic; 75

C
arithmetic; 125

D
geometric; 75

Answers

Answer:

The answer would be C.

Step-by-step explanation:

0.2 x 5 = 1

1 x 5 =5

5 x 5 = 25

So your next number in the sequence should be 125.

please help me
IF YOU DONT KNOW THE QUESTION, PLEASE DONT ANSWER IT FOR THE PONIS. I REALLY NEED IT

Answers

Answer:

As follows,

Step-by-step explanation:

3x^2y^-1

3x^2/y

∛2x^5y^3

2^(1/3)x^(5/3)y^(3/3)

2^(1/3)x^(5/3)y

5^(4/4)x^(1/4)y^(3/4)

∜5^4xy^3

Could someone please help answer this thanks so much, please no spam, will give brainliest (homework help) thank you!

Answers

Answer:

x > -7

make sure to put the sign with the line under it because I can't type it

Can you help me please

Answers

Answer:

a. 8, 14, 20

x=5 when y=11

Step-by-step explanation:

Just subsititute the x in the equation with the number that represents x.

what is If 1/2 a pound of walnuts cost $3.25. home much is one pound of walnuts?

Answers

Answer:

6.50

Step-by-step explanation:

just do 3.25 times 2 hope it helps

Your answer would be 6.50

3) if the cost of 1 pen is Rs.10, find the cost of 5 pen

Answers

Answer: 5 pens cost Rs.50

Explanation: Since 1 pen costs Rs.10, you will need to multiply the number of pens (1) and the cost of that number of pens (Rs.10) by the amount of pens you must find the cost for (5). Since 10 times 5 is 50, that means that 50 is the cost of 5 pens.

I hope this helps!

NEED HELP! John wrote the numbers 678,901 and 67,890. How many times greater is the value of 7 in 678,901 than the value of 7 in 67,890?A. 10,000B. 1,000C. 100D. 10

Answers

the answer is D. 10

70,000 / 7,000 = 10

PLEASE ANSWER SO I DONâ€™T FAIL THIS

Copy Z DEF to the line so that S is the

vertex.

This task will be complete when you have

constructed an angle with vertex S that is

congruent to ZDEF..

Answers

So the 6 plus the other active numbers are going to be multiplied by the nearest ten to get the answer which is 17

Find the value of x.

Answers

Answer:

for this problem we use the sine function

[tex] \sin(x) = \frac{opp}{hyp} \\ \sin(38 ) = \frac{x}{100} [/tex]

multiply both sides of the equation by 100

[tex]100 \sin(38) = \frac{100x}{100} [/tex]

100 cancels on the right hand side of the equation

[tex]100 \sin(38) = x \\ x = 61.566\:ft[/tex]

Plz help it’s due tonight!!!

Answers

Answer: AB≅EF, ∠B≅∠E, BC≅DE

Step-by-step explanation:

AB and EF are both marked with one line, making them congruent.

The same goes for BC and DE since they are marked with two lines.

Angles B and E are congruent because of the marking that is specified in both figures.

You need 520 mL of a 15% alcohol solution. On hand, you have a 65% alcohol mixture. How much of the 65% alcohol mixture and pure water will you need to obtain the desired solution?

You will need _____ mL of pure water and _____ mL of the 65% solution.

Answers

Answer:

400 ml, 120 ml

Step-by-step explanation:

Alcohol content of 15% solution:

0.15*520 = 78 ml

Volume of 65% solution containing 78 ml of alcohol:

78/0.65 = 120 ml

Required water volume to obtain 15% solution:

520 - 120 = 400 ml

Write an equation for the line passing through
the points (4,-3) (-2, -6)

Answers

Answer:

y=1/2x-5

Step-by-step explanation:

By solving for slope, we get 1/2

We use the equation b=y-mx to find the y intercept

b= -5

Equation: y= 1/2x - 5

A snack food company decreases the size of their single-serving size tortilla chips bag to 3.0
3.
0
ounces, which is 10%
10
%
less than the original size.

What is the original size of the bag?
Round your answer to the nearest tenth.

Answers

Maybe 10% because if u were above it it would have been

−5(10) Helpppp please

Answers

Step-by-step explanation:

I will help you if you follow me

Answer:

-50

Step-by-step explanation:

all you do is -5 times 10

Can someone explain how to write a fraction in simplest form? Example: 5/8-(7/8) I’ll mark as brainliest!!!!

Answers

Answer:

-2/8 or 1/4

Step-by-step explanation:

5/8-7/8, u sbtract the numerator then divide

subtract the numetrator=5-7=-2

divide= -2/8=-1/4

Solve for x ... please help

Answers

Answer:

[tex]7x + 49 \degree = 2x + 94\degree \\ 7x - 2x = 94\degree - 49 \degree \\ 5x = 45\degree \\ x = \frac{45}{5} \\ x = 9 \\ check \\ 7(9) + 49 = 112\degree \\ 2(9) + 94 = 112\degree[/tex]

Mike went to the store to buy shirts. The shirts were $45 each. The store was offering the following discount:
Buy 1 shirt at regular
price and get any 2
shirts of the same
price for 40% off!
Mike decided to buy 3 shirts. Not including sales tax, how much money did Mike save by buying the shirts at the discounted price?
$36
$54
$81
$99

Answers

Answer:

Mike saved 54 dollars

Step-by-step explanation:

because 40% of $45 is $18. so that makes the other 2 shirts 27 dollars a piece. so he saves a lot of money.

Please help with #4!!

Answers

Answer:

I think if you want to enlarge it add 10 to all three sides to get the sides of 13 16 and 16

Cat food costs $2.85 for five cans. Ben only wants to buy one can. How much will it cost?

Answers

Answer:

$0.57 for each can of cat food

Step-by-step explanation:

2.85/5 = 0.57 giving you the answer

Answer:

it would cost 0.57 cents!

Explanation:

you'd have to divide 2.85 by 5, because if it is that much for 5 cans, and he only wants to buy 1, you'd divide it by 5, to get 0.57 :)

help plz ill give brainliest

Answers

Answer:

30 gallons

Step-by-step explanation:

find the 6 on the x axis, and it meets to the 30 on the y axis, therefore the answer is 30 gallons (sorry if this doesn't make sense or if it's incorrect)

Which best describes the graph of the function f(x) = 4(1.5)x?

Answers

In the question "Which best describes the graph of the function f(x) = 4(1.5)^x?" The correct answer is "The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.5." (option B) Because when x = 0, f(0) = 4(1.5)^0 = 4(1) = 4. Thus the graph passes through (0, 4). Also for every increase of 1 in the x-values, the y-values increase by a factor of 1.5 i.e. f(0) = 4(1.5)^0 f(1) = 4(1.5)^1 f(x) = 4(1.5)^2 etc

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/3695268-which-best-describes-the-graph-of-he-function-f-x-4-15-x.html#answer4949036

Answer:

Step-by-step explanation:

Since this Equation isn't linear because of the squaring, we can eliminate A and C which imply linear functions. Then it's as easy as pluging in zero for the equation and seeing which one works, and you get an answer of B

Part E
? Question
How would the situation change if the interest on Emma's credit card were compounded annually
rather than monthly, and she didn't make any payments toward the balance?
Select the correct answer from each drop-down menu.
After 4 years, Emma would owe approximately $ M for her original purchase of $300.
It would take around years for her balance to increase from $300 to $450.

Answers

Answer:

$525

2.9 years

Step-by-step explanation:

This question is about financial management. It is to be noted that it would take around 2.9 years for her balance to increase from $300 to $450.

What is the calculation for the above?

Note that according to the question,

After 4 years, Emma would owe about $525 for her original purchase of $300.

The equation will be:

300 * (1 + x)[tex]^{4}[/tex] = 525 (This is based on the compound interest formula_

⇒ (1+x)[tex]^{4}[/tex] = 7/4 (If we divide both sides by 300)

Hence

x = 0.1502

= 15.02%

When the balance ups from $300 to $450,

We can state that:

300 * ( 1+ 15.02%) [tex]^{y}[/tex] = 450

⇒ Hence, y = 2.9 years.

Learn more about financial management at:
https://brainly.com/question/17155837
#SPJ6

Which of the following rational number between 3/7 and 7/8 ?
13/56
19/56
27/56
53/56

Answers

Answer:

Step-by-step explanation:

There are two ways to do this. You could use your calculator to find out the decimal numbers that are equivalent to the two given fractions. Then check which one of the givens falls between these two numbers. I wouldn't do it that way -- not when you are told that the answer has 56 as the denominator. So ...

The best way to do it is to change the two givens so that they have a denominator of 56

3/7 = 3*8/7*8 = 24 / 56

7*7 / 7*8 = 49 / 46

So you need a number that is between 49 and 24

There is only one 27 / 56

What is the value of x in the triangle below?
ModuleTwoPostAs...
a
>> Q
3x
T
V
8x - 30
R
15
45
6
18

Answers

Answer:

Step-by-step explanation:

3(6d + 1) = ?
How do I see what the d = to multiply it 3x6d but it doesn’t shows what the d= does the d = 1 since it’s only 1 d? Or how do I simplify this

Answers

Answer:

18d+3

Step-by-step explanation:

start with 3(6d+1)

separate the problem into 3(6d)+3(1)

simplify to get your answer:

18d+3

Answer:

18d + 3

Step-by-step explanation:

3 ( 6d + 1 )

= ( 3 x 6d ) + ( 3 x 1 )

= 18d + 3

(sinα+cosα)^2−(sinα−cosα)^2

Answers

Answer:

Error

Step-by-step explanation:

The answer is Error u might want to ask ur teacher

B: Josh starts off the weekend with $5,25 and earns $7.50 for each hour that he works. At
weekend he has $57,76. How many hours did he work?

PLEASE HELP I WILL GIVE BRAINLY THINGY

Answers

Answer:

23hrs

Step-by-step explanation:

58
4 25
What is the mixed number of decimals

Answers

Answer:

fun fact : by reading what i just right u just lost 5 sec of your life

Step-by-step explanation:

K(–5, –9); rotation 180° about the origin, translation 3 units left

Answers

Answer:

Step-by-step explanation:

Rotate 180 degrees about the origin

X(x,y) ====> X'(-x,-y)

K(-5 , - 9) = K ' (- -5, - - 9)

K' (5,9)

3 Units Left.

y is unchanged.

x becomes x - 3

K'(5,9) ===>k" (5 - 3,9)

k"(2,9)

The leftward motion does not look done the same way as moving a parabola left. But you are just changing the x value to move a point left. You are not imposing other rules on the figure.

1. What is the constant of proportionality?

2. What is the equation?

Answers

Answer:

y = 1/3a

Step-by-step explanation:

y = ka

1 = 3k

k = 1/3

Confirm constant: (4-1)/(12-3) = 3/9 = 1/3

1 = 3(1/3) + b

1 = 1 + b

b = 0

y = 1/3x or 1/3a

Other Questions

In your research you find a single chapter in a book that gives background information on your topic the chapter is 15 pages long and you only want to devote one paragraph of your essay to this background material what would be the best way to incorporate the chapter theoryA.summarizing B. Quoting C. Dont use this chapter in your paper D. Paraphrasing What force prevents a machine from having 100% efficiency? A. Magnetic B. Electric O C. Friction O D. Gravity Use the correct form of the verb tener to complete each sentence. Ojo! Be sure todetermine the subject of the sentence first.Vosotraslos ojos azules. Today is Saturday. What day of the week will it be in 3724 days? A theme of Lincolns Second Inaugural Address is how the suffering of war can be reconciled with the idea of a just and merciful God.Which statement BEST describes his conclusion? What are the levels of the energy pyramid called? which molecule gets translated into a protein by the ribosome? What kind of reward and sacrifices do you believe a doctor would have? Name one eastern Indian mathematical discovery. Most corporations pay quarterly dividends on their common stock rather than annual dividends. Barring any unusual circumstances during the year, the board raises, lowers, or maintains the current dividend once a year and then pays this dividend out in equal quarterly installments to its shareholders. a. Suppose a company currently pays an annual dividend of $2.80 on its common stock in a single annual installment, and management plans on raising this dividend by 6 percent per year indefinitely. If the required return on this stock is 12 percent, what is the current share price FIND THE NUMBERR!!!!!! Question 6Which list best identifies the processes that move carbon through an ecosystem?Aphotosynthesis, respiration, consumption, decomposition, erosion, and burningBrespiration, transpiration, weathering, consumption, burning, and sedimentationrespiration, transpiration, decomposition, weathering, sedimentation, and infiltrationDphotosynthesis, respiration, sedimentation, infiltration, erosion, and decomposition Can someone help me with this LCF of [tex]e^{2} r^{2} t^{3} \\and\\e^{3} r^{3} t^{2}[/tex] Is it possible that a distinct lower-class culture exists? In Spanish does ser and estar mean the same thing? Hi i needa gf im 16 im a kind loving caring person anyone 13 through 17 Depth of Water (meters) Dissolved Oxygen (mg O2 per liter) Amount of Algae/sq. meter (kilogram) 1 9.2 550 5 9.0 535 10 8.5 404 15 7.0 155 20 5.5 45 25 4.2 12 Consider the data regarding the growth of algae in a large lake, like the one illustrated above. Plants release oxygen as a by-product of photosynthesis. Draw a conclusion about other life forms in the lake, based on this data. A) All of the life forms in the lake can be found within the top 10 feet of water. B) As you increase in depth of water, plant density decreases while fish density increases. C) Organisms in the lake rely on dissolved oxygen to survive. The lower the dissolved oxygen, the lower the survival rate. D) Plant survival is related to the amount of light (depth) but animal survival is related to the amount of oxygen available. The lower the amount of dissolved oxygen, the less animal life present in the lake. there are five numbers that average 260. Three of the numbers are 63, 41, and 36. The last two numbers are the same as each other. What are the last two numbers? What was not a reason for economic growth after World War II in the United States?