The square in the middle has an area of 1 square unit. What is the area of the entire
rectangle in square units? Explain your reasoning.

Answers

Answer 1
4 square units

If you draw a vertical line down the middle of the square, you divide it into two triangles that are congruent to the smaller triangles shown in the figure. Hence each of those triangles has an area of 1/2 square unit.
After you divide the square as as above, you see that two smaller triangles are identical in area to the larger triangles. So, each of those has an area of 2(1/2) = 1 square unit
Then the total of areas is…
2 small triangles + square + 2 large triangles =
2(1/2) + 1 + 2(1) = 4

Hopefully this helps a lot because this was a lot to type!

Related Questions

i got the answer of A but i am very unsure on how to do it. Can someone help please? thank you

Answers

Explanation:

So, looking at the ruler, we;re going to take the whole number of the measurment from the whole bars of inches it overlaps (1-3) since we know it goes past there we will have a fraction beside it (because it does not go all the way to 4) If you see the longest lines in between the 3 and 4, there are 3 bars (which means each is 1/4.) Now, we know that it covers 3/4 of the last inch. To convert to /8, we multiply the numerator and denominator by 2 so we have 6/8. The CLOSEST (but not completely correct) (in 1/8 inches) would be D. (but ONLY if A is incorrect because that is simplified and the accurate answer.

A fuel storage tank is 3/4 full. After 75 litres have been drawn off it is 3/5 full. What is the capacity of the tank?​

Answers

According to the solving the capacity of the tank is  = 500

Volume in mathematics refers to:

The term 'volume' in mathematics refers to the amount the three-dimensional space occupied by such an item or a closed surface. The volume is measured in cubic units like as m3, cm3, in3, and so on. Volume is also referred to as capacity at times.

Seems to be volume a quantity:

Volume is the amount of three-dimensional space inhabited by a liquid, solid, or gas. Volume is commonly expressed in liters, cubic meters, gallons, milliliters, teaspoons, and ounces, while many additional units exist.

According to the given data:

fuel storage tank is 3/4 full.

75 liters have been drawn off.

it is 3/5 full.

The capacity of the tank = ?.

So,

3/4x - 75 = 3/5x

3/4x - 3/5x = 75

Multiplying by 20 both the side:

15x - 12x = 1,500

3x = 1500

x = 1500/3

x = 500

According to the solving the capacity of the tank is  = 500

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Bo kept track of his cookie sales. He
discovered that 3 out of 5 people who
came into his bakery for cookies bought
chocolate chip cookies.
If 400 customers bought cookies at Bo's
Bakery last month, how many of them
bought chocolate chip cookies?

Answers

The number of customers that bought chocolates chips last month is 240.

How to find the how many chocolate chip cookies bought using the fractions?

He discovered that 3 out of 5 people who came into his bakery for cookies bought chocolate chip cookies.

400 customers bought cookies at Bo's Bakery last month.

The number of people that bought chocolate chip cookies are as follows:

Therefore, using the fraction 3 / 5

3 out of 5 can be represented in fraction form as  3 / 5

number that bought chocolate chip = 3 / 5 × 400

number that bought chocolate chip = 1200 / 5

number that bought chocolate chip = 240

Therefore, the number of customers that bought chocolates chips last month is 240.

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For the right triangles below, find the exact values of the side lengths b and d.
If necessary, write your responses in simplified radical form.

Answers

C = 3√3, a = 4√2 are trigonometric ratios of the  right triangles .

What do trigonometric ratios represent?

Trigonometric ratios are ratios of the sides of a triangle. These ratios illustrate how the ratio of a right triangle's sides to each angle works in trigonometry. The three basic trigonometric ratios are sine, cosine, and tangent.

The values of the provided variable will be determined using trigonometric ratios.

We must choose a ratio that includes base and perpendicular for c. So, we'll utilize tan x.

tan 60 = P/B

tan 60 = C/3

√3 = C/3

3 × √3 = C

C = 3√3

similarly for a

Sin 45 = b/h

√2/2 = a/8

√2 * 8 / 2 = a

a = 4√2

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A Broadway theater has 510 ​seats, divided into​ orchestra, main, and balcony seating. Orchestra seats sell for ​$140​, main seats for ​$135​, and balcony seats for ​$100. If all the seats are​ sold, the gross revenue to the theater is ​$62,700. If all the main and balcony seats are​ sold, but only half the orchestra seats are​ sold, the gross revenue is ​$55,700. How many of each kind of seat are​ there?

Answers

The Broadway theater had 100 Orchestra, 220 main seat and 190 balcony seats.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of Orchestra, y represent the main seat and z represent the balcony seat.

A Broadway theater has 510 ​seats, Hence:

x + y + z = 510    (1)

Also:

140x + 135y + 100z = 62700    (2)

And:

135y + 100z + (1/2)(140)x = 55700    (3)

From the three equations:

x = 100, y = 220, z = 190

The Broadway theater had 100 Orchestra, 220 main seat and 190 balcony seats.

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Alan has forgotten his 4-digit PIN code.
He knows it begins with a 2 and the 4 digits
make an odd number.
How many different sets of 4 digits could it
be?

Answers

It could be 400 sets of 4 digits.

What is permutation and combination ?

combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the elements of the subset can be listed in any order The components of the subset are listed in a permutation in a certain order.

Given that: Alan is aware that the first digit is nine and the final digit is greater than five.

Optional first digit: 1 (9)

10 choices for the second digit (0 to 9)

10 choices for the third digit (9 to 9)

Optional fourth digits: 4. (6, 7, 8, 9)

Possibility of sets:

1×10×10×4 = 400

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-2x+6<20 I really need the answer

Answers

Answer:

.

Step-by-step explanation:

A person who is 1.9 m tall may appear to be 1.8m tall in about one metre away. What is the percentage error made in estimating the main height?​

Answers

95% is the percentage error in estimating the main height.

What do we mean by percentages?In mathematics, a percentage is a number or ratio expressed as a fraction of 100.The percent sign, "%," is most commonly used, but the abbreviations "pct.", "pct," and occasionally "pc" are also used.A percentage is a number that has no dimensions or units of measurement.Divide the value by the total value and multiply the result by 100 to get the percentage.The formula for calculating the percentage is (value/total value)100%.

So, let the percentage error be x.

Then,

1.9/100 × x = 1.80.019x = 1.8x = 1.8/.019x = 94.73After rounding off: 95%

Therefore, the percentage error is 95%.

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Explain why the HCF of 81 and 154 must be 1.

Answers

the HCF of the numbers 81 and 154 must be 1.

HCF means the highest common factor that the two numbers have between them. When the numbers are divided by HCF, they become composite numbers. It is the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

We are given two numbers:

81 and 154

We know that 81 is:

81 = 3 × 3 × 3 × 3

And 154 is:

154 = 2 × 7 × 11

We can see that both the numbers do not have any factor in common.

So, the highest common factor that is the HCF can be 1 only.

Therefore, the HCF of the numbers 81 and 154 must be 1.

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What is the slope of the line that contains the points negative 2, negative seven halves and (4, −4)?

negative one twelfth
negative one fourth
one fourth
one twelfth

Answers

Answer: Negative one twelfth

Step-by-step explanation:

Answer: 1/12

Step-by-step explanation:

the answer is actually 1/12 not -1/12

Slope is equal to the change in

y

over the change in

x

, or rise over run.

m

=

change in y

change in x

The change in

x

is equal to the difference in x-coordinates (also called run), and the change in

y

is equal to the difference in y-coordinates (also called rise).

m

=

y

2

y

1

x

2

x

1

Substitute in the values of

x

and

y

into the equation to find the slope.

m

=

4

(

7

2

)

4

(

2

)

Simplify.

Simplify the numerator.

m

=

1

2

4

(

2

)

Simplify the denominator.

m

=

1

2

6

Multiply the numerator by the reciprocal of the denominator.

m

=

1

2

1

6

Multiply

1

2

1

6

.

m

=

1

12

It take 18 pounds of seed to completely plant a 3-acre field.how many pounds of seed are needed per acre

Answers

Given the information that it takes 18 pounds to plant a 3-acre field, we can set up an equation to find the unit rate:

18 / 3 = 6

3 / 3 = 1

It takes 6 pounds of seed per acre.

Help! Please will give brainliest if you will

ASAP

Answers

Answer: i hope this answers your question

Step-by-step explanation:

the function is negative over the interval (-3,5)

the function is positive over the interval (-..-5)

the function is positive over the interval (3,..)

Answer:here

Step-by-step explanation:

the function is negative over the interval (-3,5)

the function is positive over the interval (-..-5)

the function is positive over the interval (3,..)

both Randy and Sue were at music lessons on Tuesday May 3rd. sue goes to music lessons every 4 days Randy goes every 5 days. lessons are Monday through Saturday. what is the next day of the week that they will both be at music lessons?​

Answers

The next when Randy and Sue will both have music lessons on Monday May 23rd.

First we will list the multiple of 4 and 5 to solve this question and then we will find the common multiple of them because the two activities will happen again in a number divisible by both 4 and 5.

The multiples of 4 are : 4, 8, 12, 16, 20, ...

The multiples of 5 are : 5, 10, 15, 20, ...

Now we got the common multiple which is 20,

So, The common multiple of 4 and 5 is 20.

That means Randy and Sue will both have music lessons on after 20 days from Tuesday May 3rd.

Hence, Randy and Sue will both have music lessons on Monday May 23rd.

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Please help with this

Answers

Answer:

18

Step-by-step explanation:

252/14=18

Answer:

They washed 18 cars

Step-by-step explanation:

252 ÷ 14 = 18

18 x 14 = 252

( ´ ∀ `)ノ~ ♡

Pls help me understand this.

Answers

Answer:

4 Square units

Step-by-step explanation:

The height is incorect

It is meant to be the vertical height which is the distance from A to AB (3 - 1 = 2)

[tex] \frac{1}{2} bh = \frac{1}{2} \times 4 \times 2 \\ = 4 \: square \: units[/tex]

The identification code on a bank card consists of 1 digit followed by 2 letters. The code must meet the following conditions
The digit must be even
The letters A, E, I, O, U cannot be used
Letters cannot be used more than once

Answers

The number of possible identification codes is 2100

How to determine the number of identification codes?

The given parameters are:

1 digit followed by 2 letters. Even digitsLetters A, E, I, O, U cannot be usedLetters cannot be used more than once

There are 5 even digits

So, we have

Digits = 5

There are 21 other letters aside A, E, I, O, U

So, we have:

First letter = Any of the 21 letters

Second letter = Any of the remaining 20 letters

So, we have

Combination = 5 * 21 * 20

Evaluate the product

Combination = 2100

Hence, the number of identification codes is 2100

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In the diagram below, AE ≈ BE, mZB = 55° and mZD = 34°. Find
m/C.
D
34°
E
B
.0
55

Answers

Answer:

m∠C=76

Step-by-step explanation:

AE≅BE

Base angle Theorum. So, ∠A≅∠B.

m∠B=55

m∠B=m∠A

m∠A=55

All triangles add up to 180 degrees.

m∠A+m∠B+m∠BEA=180

55+55+m∠BEA=180

m∠BEA=70

m∠BEA=m∠DEC (Vertical Angles)

m∠DEC=70

m∠DEC+m∠D+m∠C=180

70+34+m∠C=180

m∠C=76

A math class consists of 12 female students and 21 male students. Two students are selected at random to participate in a probability experiment. Compute the following probability. Write your answer in decimal form. Round to the nearest thousandth as needed.

No males are selected.​

Answers

Answer:

the answer would be 0.364

Can y’all please help me

Answers

Answer:

a+(-c); b; c-(-b)

Step-by-step explanation:

a = -1

b = 2

c = 3

Now we'll solve for each equation

b = 2

a + (-c) = -1 + (-3) = -4

c - (-b) = 3 - (-2) = 5

8. The line that passes through (3, 5) and is parallel to the line through (3, 3) and (-3, -1)

Answers

2x - 3y = -9  is equation of line which passes through slope 2/3.

Describe slope using an example?

The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b). For instance, the slope and y-intercept of the equation y = 3x - 7 are 3 and 0, respectively.

m = [tex]\frac{y{2} - y{1} }{x{2} - x{1} }[/tex]

put x₁ = 3 , x₂ = -3 , y₁ = 3 and y₂ = -1

m = [tex]\frac{-1 - 3}{-3 - 3}[/tex]

m = [tex]\frac{-4}{-6}[/tex]

m = 2/3

The line that passes through (3, 5) =

                    ⇒   y - y₁ = m( x - x₁)

                    ⇒ y - 5 = 2/3 ( x - 3)

                    ⇒ 3( y - 5 ) = 2 ( x - 3 )

                     ⇒ 3y - 15 = 2x - 6

                      ⇒ 2x - 3y = -15 + 6

                     ⇒ 2x - 3y = -9

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ANSWER QUICK

What is the equation of a horizontal line that passes through the point (-2, 5)?

x = -2


y = -2


x = 5


y = 5

Answers

Answer:

y=5

Brainliest, please :)


Angular kinetic energy, E, is the kinetic energy created by the rotation of an object and is described by the formula
E=Iw², where w is the angular velocity and I is the moment of inertia around the axis of rotation. What is the
formula solved for I?

Answers

The moment of inertia (I) solved for, from the angular kinetic energy formula is I = 2E/w².

What is the angular kinetic energy formula solved for I?

Angular kinetic which is also referred to as  rotational energy is simply the kinetic energy due to the rotation of an object.

It is expressed mathematically as;

E = (1/2)Iw²

To solve for I, we first reorder the equation to bring the term containing I to the left side.

E = (1/2)Iw²

(1/2)Iw² = E

Multiply both sides by 2

2 × (1/2)Iw² = 2 × E

Iw² = 2 × E

Iw² = 2E

Now, divide both sides by the question of I.

Iw²/w² = 2E/w²

I = 2E/w²

Therefore, the moment of inertia (I) solved for, from the angular kinetic energy formula is I = 2E/w².

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pleas helppp i need this i will give brainly crown

Answers

Answer:

1. Signed

2. True, -(30/6)=-5, 30/-6=-5, hence they are equal

3. True

Step-by-step explanation:

Answer:

Question 5 is true

Question 4 is false

Step-by-step explanation:

I am not sure about the first question because numbers that are either positive or negative are called integers, however, this is not one of the options.

PLS PLS PLS PLS PLS PLS PLS PLS HELP ME write the ratios 25:4 and 45:10 as a complex fraction​

Answers

Writing the ratios 25:4 and 45:10 as a complex fraction will be 6 1/4 and 4 1/2.

How to calculate the value?

From the information, it should be noted that we want to write the ratios 25:4 and 45:10 as a complex fraction.

It should be noted that we simply have to convert the numbers to fractions. This will be:

25:4 = 25/4 = 6 1/4

45:10 = 45 / 10 = 4 5/10 = 4 1/2.

Therefore, writing the ratios 25:4 and 45:10 as a complex fraction will be 6 1/4 and 4 1/2.

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Three friends ate at a restaurant. They ordered nachos for $17.95 and jalapeno poppers. Each friend paid $8.94, not including sales tax or tip, which was one third of the total. Determine the cost of the jalapeno poppers.

$26.82
$17.74
$8.87
$5.98

Answers

The cost of the jalapeno poppers is C. $8.87.

How to calculate the cost?

Since each friend paid $8.94, not including sales tax or tip,the total amount paid will be:

= $8.94 × 3

= $26.82

Therefore, the cost of the jalapeno will be:

= $26.82 - $17.95

= $8.87

The correct option is C

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What company has the absolute advantage when it comes to producing phones?
a. Gonzalez and Bros. Inc
b. The G company Inc
c. they both do
d. neither

Answers

(Option a) Gonzalez and Bros . Inc has the absolute advantage when it comes to producing phones.

Absolute advantage theory

Adam Smith, an economist from the 18th century, introduced the idea of absolute advantage in his book The Wealth of Nations to explain how nations might profit from trade by specializing in producing and exporting the things that they can manufacture more successfully than other nations.

On the other hand, low-cost manufactured items are produced and exported by China, Thailand, and Vietnam. These three nations enjoy a distinct advantage as a result of their significantly reduced unit labor costs.

Here, option a Gonzales and Bros. Inc has the absolute advantage when it comes to producing phones.

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What is the value of the expression when s = 2 and t = -1.5? -3/5 - 8³ + 3t​

Answers

The value of the expression -3/5 - 8³ + 3t​ is found as (-517.1).

What is define as the linear equation is one variable?A linear equation in one variable is an equation that has only one solution and is expressed in the form ax+b = 0, where a and b are 2 integers and x is a variable. 2x+23=18, for instance –, is a linear equation with such a single variable. As a result, this equation has had only one solution, x = 5/2. In contrast, a linear equation with two variables has two solutions.A linear equation for one variable is one that has only one variable of order 1. It has the formula ax + b = 0, in which x is a variable.

For the given equation; -3/5 - 8³ + 3t​.

The value of t = -1.5.

Put the value of 't' in the one degree linear equation.

= -3/5 - 8³ + 3t

= -3/5 - 8³ + 3(-1.5)

Simplify the equation;

= -0.6 - 512 - 4.5

Add all the values with sign.

= -517.1

Thus, the simplification if the one degree linear equation is found as (-517.1).

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Answer:

Step-by-step explanation:

Money is borrowed at 9% simple interest. After one year $615.85 pays off the loan. How much was originally borrowed?

Answers

Given the total amount paid off and the interest, the original amount borrowed within the given period of time is $565.00

How much was the original amount borrowed?

Simple interest is simply a method to determine the amount of interest charged on a sum at a given rate and for a given period of time.

It can be expressed as;

A = P( 1 + rt )

Given the data in the question;

Annual interest rate r = 9% = 9/100 = 0.09Total amount A = $615.85 Time period t = 1 yearsPrincipal P = ?

To determine the initial amount borrowed, plug the given values into the equation and solve for P.

A = P( 1 + rt )

615.85  = P( 1 + ( 0.09 × 1 ) )

615.85  = P( 1 + 0.09 )

615.85  = P( 1.09 )

P = 615.85 / 1.09

P = $565.00

Given the total amount paid off and the interest, the original amount borrowed within the given period of time is $565.00

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Here is list of numbers:
8
7 12 7 11 10 7 12
Find:
a)
the median
b)
the range
c)
the mode

Answers

Step-by-step explanation:

medium =9

range = 12-7=5

mode=7

Essa conta poderia ser feita de várias maneiras. Uma delas é dividir 450 por 3 e depois multiplicar por 5. A resposta para esse problema é 750.

Answers

Step-by-step explanation:

Moço, vc tá na gringa, não na BR

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