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The area of the window that lets in the most light will be the one that causes the window to transmit the most light overall.

To find the proportions of the window that will admit the lightest, we need to maximize the total area of the window while keeping the perimeter fixed. The total area of the window is the sum of the area of the rectangle and the area of the semicircle. The area of the rectangle is the product of its length and width, and the area of the semicircle is half the product of its radius and the area of a full circle with the same radius.

Since the perimeter is fixed, the length and width of the rectangle are also fixed. The radius of the semicircle can be found using the perimeter and the length and width of the rectangle.

Once we have the radius of the semicircle, we can find the area of the rectangle, the area of the semicircle, and the total area of the window. Since the semicircle is of tinted glass that transmits only half as much light per unit area as clear glass does, we will have to multiply the area of the semicircle by 0.5 to find the total amount of light transmitted by it.

Finally, we will have to compare the total amount of light transmitted by the window for different values of the length and width of the rectangle. The proportion of the window that admits the most light will be the one that results in the maximum total amount of light transmitted by the window.

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Answer:

accounts payable

Step-by-step explanation:

Because amount of money you owe

The volume of the prism is 103.32 cubic inches (optionD)

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.

The base area of the prism = 4.1×7.2 = 29.52 inches squared.

The height of the prism is 3.5 inches

Therefore volume = base area × height

volume = 29.52× 3.5 = 103.32 cubic inches.

Therefore the volume of the shape is 103.32 cubic inches.

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Therefore , the solution to the given problem of linear equation comes out to be T= 64.

Any function that fulfills the algebraic equation y=mx+b is said to be linear. B is the slope, and m is the y-intercept. Since both x and y are factors, the previous sentence is commonly referred to as an equation system with two variables." Two-variable linear equations are referred to as bivariate equations. There are several applications for linear equations: x + z = 2, and 3z - y + z = 3 both have a zero solution. If an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept, it is referred to as linear. The equation is written as Y=mx+b, where m denotes the slope and b the y-intercept.

Here,

Given : 3+ T/2 = 35

thus,

=>  3+ T/2 = 35

=> T/2 = 35-3

=> T/2 = 32 *2

=> T= 64

Therefore , the solution to the given problem of linear equation comes out to be T= 64.

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The perimeter of ΔABE is 70 units.

The  perimeter of ΔCDF​ is 35 units.

A triangle is a polygon with threes sides. The sum of angles in a triangle is 180 degrees.

Therefore, the perimeter of a triangle is the sum of the whole sides.

Triangle mid point theorem is used to find the perimeter of the triangles.

It states that the line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”

Let's find the perimeter of triangle ABE.

Hence,

perimeter of triangle ABE = AB + BE + AE

BE = 24

AE = 13 + 13 = 26

AB = 10 + 10 = 20

perimeter of triangle ABE = 24 + 26 + 20 = 70 units

perimeter of triangle CDF = DF + CD + CF

perimeter of triangle CDF = 10 + 13 + 12

perimeter of triangle CDF = 35 units

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Answer:

$3,153.32

Step-by-step explanation:

Given that

The deposited amount is $3,000

The annual interest rate is 1.25%

So, the semi-annual interest rate is 1.25% ÷2  = 0.625%

And, the time period = 4 × 2 = 8

We need to find out the final balance

So,

As we know that

Future value = Present value × (1 + rate of interest)^number of years

= $3,000 × (1 + 0.625%)^8

= $3,153.32

The y-intercept of the sine function is -3

We know that the standard form of the sine function is, y = a sin(bx + c) + d

where, amplitude = |a|

period = 2π/b

phase shift = -c/b

and vertical shift = d

Here, a sine function has an amplitude of 3, a period of π, and a phase shift of π/4

a = 3,

So, 2π/b = π

⇒ b = 2

And phase shift -c/b = π/4

⇒ -c/2 = π/4

⇒ -c = π/2

⇒ c = -π/2

So, a sine function would be,

y = 3 sin(2x + -π/2) + 0

y = 3 sin(2x + -π/2)

When x = 0,

y = 3 sin(0+ -π/2)

y = 3 sin(-π/2)

y = 3 × (-1)

y = -3

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Answer:

11 marbles

Step-by-step explanation:

Let x = no. of marbles-Alex

3x = no. of marbles-Billie

3x - 9 = no. of marbles-Chris

x + 3x + 3x - 9 = 68

7x - 9 = 68

7x = 77

x = 11

Alex will have 11 marbles out of a total of 68 marbles.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Alex has some marbles. Billie has three times as many marbles are Alex.

Chris has 9 fewer marbles than Billie.

In total, they have 68 marbles.

Let x = no. of marbles-Alex

3x = no. of marbles-Billie

3x - 9 = no. of marbles-Chris

The number of marbles will be calculated as,

x + 3x + 3x - 9 = 68

7x - 9 = 68

7x = 77

x = 11

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Answer:

1: 36 3/4

2: 26

Step-by-step explanation:

because I had that same question and got an A

Answer:

15.01

Step-by-step explanation:

Answer:

X=6,y=3

Step-by-step explanation:

Answer:

The answer expanded and simplified is

5m +9n +14

Answer:

30.3/option 3

Step-by-step explanation:

Area of paralellogram:

((2+10)/2)*4

12/2*4

6*4

24

Area of semicircle

(pi*r^2)/2

3.1415*2^2/2

3.1415*4/2

6.283

Total:

24+6.283 = 30.283

Round it and it becomes 30.3 so option 3

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Answer:

Half of 4 is 2

2^2 = 4

4 x 3.14 = 12.56, 12.56 divided by 2 = 6.28

10 + 2 = 12

12 x 4 = 48, 48 x 1/2 (basically just dividing by 2) = 24

Add the given areas:

24 + 6.28 = 30.28 m^2

Answer:

The answer is D because the snow on the ground increases 1 cm every one hour rather than 2 cm every hour.

Step-by-step explanation:

a) Each person would receive 1/6 of the cake

b) If there are 49 balls in total and each person is to get seven balls, How many persons can share the balls?

We know that we can be able to make us of the principles of algebra so as to be able to obtain the problems that we have to deal with in the question that appears in the image that is attached.

Given that we have the total amount of the cake as 2 1/2 and then we are told that there are 15 persons in the class thus the amount that everyone should receive would be x.

2 1/2 = 15 x

5/2 = 15x

5 = 2 * 15x

x = 5/2 * 15

x = 1/6

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Answer and Step-by-step explanation:

The answer is True.

This is because rain is falling water (precipitating water), and water makes things wet, so because it is raining, the outside is wet from the falling water.

#teamtrees #PAW (Plant And Water)

Answer:

B

Step-by-step explanation:

Answer:

9 7/8

Step-by-step explanation:

Answer:

1. x = 14

2. (14, 115.18)

3. If the cost was 115.18 dollars, then the number of rooms cleaned was 14.

Step-by-step explanation:

The goal of this exercise is to teach you how to create formulas for story problems and substitute variables in equations to find solutions.

To do the first question, you simply have to make the equation from the story problem.

These equations are usually in the slope intercept form, y = mx + b

C(x) is the same as y, so begin by replacing it for simplicity.

If x represents the number of rooms cleared, that means that the cost for each room would be 7.87x. There's also a reservation fee of $5, which means your y-intercept is 5.

y = 7.87x + 5

Now we can substitute variables to solve the equation.

To find x when C(x) = 115.18, we substitute y for 115.18.

115.18 = 7.87x + 5

Subtract 5 from both sides:

110.18 = 7.87x

Divide both sides by 7.87:

14 = x

So we have our first answer. When C(x) = 115.18, x = 14.

The second answer can be easily completed. Ordered pairs are written as (x,y), so we substitute the variables for their values.

This means, as an ordered pair, the answer is (14,115.18).

The sentence would be "If the cost was 115.18 dollars, then the number of rooms cleaned was 14.

Hope this helped!

A) 12 cm ..............

Answer:

Area of a triangle= b · h/2

b) 10 is the correct answer because 10 x 3/2 = 15

Answer:

E

Step-by-step explanation:

The required perimeter of the new rectangle is 66 inches.

A quadrilateral with all of its angles equal, or right angles, is a rectangle.

In addition to having all equal angles, a square also has all equal sides.

Therefore, a particular case of a square is a rectangle.

To put it another way, a rectangle can also be a square (when all sides to are equal).

Because every square is a quadrilateral with all four angles at right angles, every square is also a rectangle.

To be a square, a rectangle's sides must all be the same length, hence not all rectangles are squares.

So, a perimeter equals 2(l+b).

50 is the circumference and 17 is the length here.

Suppose the breadth is x.

50 = 2(17+x)

50 = (2*17)+(2*x)

50 = 34 + 2x

50 - 34 = 2x

16 = 2x

16/2 = x

8 = x

The first triangle's width is eight inches.

We know that the length of the other rectangle is 17.

And that the width is two times that of the first triangle.

Length = 17, width = 2*8 = 16, etc.

For the border:

p = 2(l+b)

p =  2(17+16)

p =  (2*17)+(2*16)

p =   34+32

p  =   66

Therefore, the required perimeter of the new rectangle is 66 inches.

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Complete question:

Najib cuts out a rectangle that has a perimeter of 50 inches and a length of 17 inches. He cuts out another rectangle that is the same length and twice as wide. What is the perimeter of the new rectangle?

Answer:

4072.032mm^2

Step-by-step explanation:

Given data

Radius= 36mm

The expression for the area of a circle is

A= πr^2

Substititute

A= 3.142*36^2

A= 3.142*1296

A= 4072.032mm^2

Hence the area is 4072.032mm^2

In an amphitheater, seat are arranged in 50 semi-circular row-facing a dome Tate. The first row contain 23 seat, and each row contain 4 more eat than the previous row. Therefore, there are 6050 seat are in the amphitheater.

Given that:

There are total 50 semi circular row.

In the first row there are 23 seats.

The given problem is AP series:

Arithmetic Series:

An arithmetic sequence is defined as an algebraic sequence in which each successive term has an equal difference. It is obtained by adding a constant to any preceding term. For the first term 'a' and the tolerance 'd' of the AP, here is a list of commonly used arithmetic progressions to solve various AP related problems:

where l is the last term in the arithmetic progression.

Now,

Sum of n terms  = n/2 [ 2a + (n-1)d]

                          = 50/2 [ 2× 23 + (50 -1)4]

                          = 25 [46 + 49×4]

                          = 25 × 242

                          = 6050

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The drama "The Importance of Being Earnest" contains many inconsistencies. Algernon's criticism of the lower class for not providing a better moral example for the upper class is paradoxical because the higher class must set the standard because it is the ruling class.

A remark that logically contradicts itself or runs counter to one's expectations is referred to as a paradox.

It is a claim that, despite appearing to be supported by genuine premises and sound reasoning, leads to a logically untenable or self-contradictory conclusion.

One of the most straightforward yet well-known paradoxes is the liar paradox, sometimes known as the liar's paradox statement.

A paradox exists when someone says, "This statement is a lie" or "This statement is false," because if it were true, the statement would be speaking the truth.

In "The Importance of Being Earnest", the play has multiple contradictions.

Because the upper class is required to lead because it is the governing class, Algernon's dissatisfaction with the lower class for not setting a better moral example for the upper class is paradoxical.

Therefore, the drama "The Importance of Being Earnest" contains many inconsistencies. Algernon's criticism of the lower class for not providing a better moral example for the upper class is paradoxical because the higher class must set the standard because it is the ruling class.

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The answer to the table is given below.

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given:

Learn more about ratios here: Jerome’s brother told him to add one cup of water for every cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink. We get the following table using the constraints given in the question

Drink mix     3     4     5      6    7

water cups   8     9     10     11   12

Hence, The complete table is shown above.

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Answer:

2.25 + 1.50 = 3.75

he spent $3.75

hope this helped

Step-by-step explanation: