An angle measures 61.2° more than the measure of its complementary angle. What is the measure of each angle?

The ratio of the cost in dollars of the materials to the sale price in dollars is 0.4:1

The cost of the materials for one porch swing is $100 and the sale price of the swing is $250.

To find the ratio of the cost of the materials to the sale price, we divide the cost of the materials by the sale price as follows -

$100 ÷ $250 = 0.4

So, the ratio of the cost of the materials to the sale price is 0.4:1.

This means that for every $1 in the sale price, $0.4 is spent on materials or we can say that 40 cents of every dollar go towards materials.

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Answer:Ariel

Step-by-step explanation: because if you divide 300 by 2 and then times it by 5 equals 750

Answer:

Radius = 13.8 inches

Step-by-step explanation:

The relationship between arc length, s , the radius r and central angle  θ in radians is given by the formula

s = rθ where r = radius, θ is central angle in radians

Or,

r = s/θ

Given s = 9.9 in and θ = 41.4° we get

θ in radians = (θ in degrees) x π/180 radians

So 41° = 41 x  π/180 radians = 0.7156 radians

r = s/θ

r = 9.9/0.7156

r = 13.835 inches

Rounded to the nearest tenth:

r = 13.8 inches

A teacher has 60 students in her class and wants to form equal groups for a project. To determine the different groups she can form, we need to find the divisors of 60. The divisors of 60 are the numbers that divide evenly into 60.

The divisors of 60 are:

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

These divisors represent the different numbers of students the teacher can form into groups. For example, she could form 60 students into 1 group, 30 students into 2 groups, 20 students into 3 groups, 15 students into 4 groups, and so on.

The teacher could also form more unusual groupings, such as 10 students into 6 groups, 12 students into 5 groups, or 6 students into 10 groups. The important factor is that the number of students must be divisible by the number of groups to ensure that each group has an equal number of students.

In conclusion, a teacher with 60 students in her class can form groups with the following number of students: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. These groupings allow her to balance the workload and provide equal opportunities for students to participate in the project. The choice of grouping size will depend on the specific requirements of the project and the teacher's preferences.

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Answer:

Step-by-step explanation:
I got you.

1.
The six-sided figure can be broken down into a rectangular prism with dimensions 35 x 20 x 30 and a right triangular pyramid with base 35 x 15 and height 30.

The rectangular prism has a total floor area of 35 x 20 = 700 square feet.

The right triangular pyramid has a base area of 0.5 x 35 x 15 = 262.5 square feet and a total floor area of 262.5 + 700 = 962.5 square feet.

So the total floor area of the six-sided figure is 962.5 square feet.

To find the cost to cover the floor with wax, we multiply the floor area by the cost per square foot:

962.5 * $1.38 = $1322.35

So the wax will cost $1322.35 to cover the floor.

2.
The shape for the quilt block can be divided into two right triangles and a rectangle. The rectangle has a length of 13 inches and a width of 5.18 inches, so its area is 13 * 5.18 = 67.34 square inches. The two right triangles each have a base of 5 inches and a height of 6 inches, so their area is 0.5 * 5 * 6 = 15 square inches each. The total area of the two right triangles is 15 * 2 = 30 square inches. The total area of the quilt block is 30 + 67.34 = 97.34 square inches.

So the area of the shape for the quilt block is 97.34 square inches.

3.
The area of a parallelogram is given by the formula: Area = base * height.

So the area of this parallelogram is:

22.5 feet * 19.25 feet = 432.0625 ft^2

So the area of the parallelogram is 432.0625 square feet or approximately 432 and 6/16 square feet.

4.
An isosceles trapezoid has two equal sides that are parallel to each other. In this case, the two equal sides are perpendicular to the height and are equal to 4 + 7 = 11 meters each. The average of the two parallel sides is the formula for the top base of a trapezoid, so the top base is (3 + 11)/2 = 7 meters.

The area of a trapezoid is given by the formula: Area = (bottom base + top base) * height / 2.

So the area of this trapezoid is:

(3 + 7) * 6.2 / 2 = 33.4 m^2

So the area of the trapezoid is 33.4 square meters.

5.
The area of a rhombus is given by the formula: Area = (diagonal 1 * diagonal 2) / 2.

In this case, the base of the rhombus is equal to one of its diagonals, and the height is equal to the other diagonal. So the area of this rhombus is:

(16 * 15.5) / 2 = 124 cm^2

So the area of the rhombus is 124 square centimeters.

6.
he total area of the figure can be found by dividing it into two parts: a parallelogram and a triangle.

The parallelogram can be found by using the formula for the area of a parallelogram: Area = base * height. In this case, the base is 4 inches and the height is 2.3 inches, so the area of the parallelogram is: 4 * 2.3 = 9.2 square inches.

The triangle can be found by using the formula for the area of a triangle: Area = (base * height) / 2. In this case, the base is 2.5 inches and the height is 3 inches, so the area of the triangle is: (2.5 * 3) / 2 = 3.75 square inches.

The total area of the figure is the sum of the areas of the parallelogram and triangle: 9.2 + 3.75 = 12.95 square inches.

So the total area of the figure is approximately 12.95 square inches.

7.
The figure can be broken down into two triangles and a rectangle. The area of one triangle is (1/2)bh = (1/2)(22)(34) = 308. To find the area of the other triangle, use the Pythagorean theorem to find the length of the remaining side. The two remaining sides are 43 and 18, and the hypotenuse is the side connecting the two vertices, so we have:

a^2 + b^2 = c^2

43^2 + 18^2 = c^2

1,849 + 324 = c^2

2,173 = c^2

c = 46.7

The area of this triangle is (1/2)bh = (1/2)(46.7)(34) = 786.2

The rectangle has a base of 43 and a height of 34, so its area is 43 * 34 = 1,462

The total area of the figure is 308 + 786.2 + 1,462 = 2,556.2 square meters.

So the answer is 2,556.2 m2.

Answer:

Option 4

Explained below

Step-by-step explanation:

A relationship is a function if and only if one value of the input does not result in more than one value of the output

In other words, for a function f(x), for a value of x there should only be one value for y

Looking at the figure, we see that in option 4 for the value 2 there are two resultant mappings, A and B

Hence the relation in option 4 is NOT a function

The equation y = 3^x represents the relationship between two variables, x and y, where y is equal to 3 raised to the power of x. The value of y is determined by the value of x.

The equation that represents these ordered pairs is likely to be of the form y = a * b^x, where a and b are constants. To determine the values of a and b, we can use the given ordered pairs:

(0,1): 1 = a * b^0 => a = 1

(1,3): 3 = a * b^1 => b = 3

So, the equation is y = 1 * 3^x.

This can also be written as y = 3^x.

For example, when x = 0, y = 3^0 = 1. When x = 1, y = 3^1 = 3. When x = 2, y = 3^2 = 9. And so on. The ordered pairs (0,1), (1,3), (2,9), (3,27) are solutions to this exponential equation because they satisfy the equation. For each ordered pair, the x value is plugged into the equation, and the corresponding y value is obtained. The obtained y values match the y values in the ordered pairs, which means that the equation is a correct representation of the relationship between x and y.

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Answer:

2.25%

Step-by-step explanation:

hope dis help

Answer:

2.25%

Step-by-step explanation:

The missing value to make the set of numbers to have a range of 40 is the number 2.

In mathematics, the range can be defined as the difference between the greatest and lowest values in a set of numbers. Due to this, the range can be found by using subtraction.

In this case, the current range is 37 which is a result of 42 (greatest value) -5 (lowest value). However, the required range is 40. Let's calculate the missing value:

42-40 = 2

Based on this, the missing value is 2.

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Each shoe costs 20 dollars.

Let us assume that the cost of each pair of shoe is m dollars.

Jane buys five pairs of shoes.

so, the cost of five pairs of shoes would be 5 × m = 5m dollars

Let us assume that S represents the total amount of money she spend on the shoes and C be the total cost

C = S + tax

227.75 =  S + 27.75

S = 227.75 - 27.75

S = 200 dollars

The cost of 5 pairs of shoes (without tax) = $200

Using unitary method the cost of each pair of shoes would be,

m = 200/5

m = 40 dollars

This means that the cost of a pair of shoes is 40 dollars

Thus, the cost of each shoe = 40/2

                                             = 20 dollars

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To find the greatest number of equal groups Cedric could have made, we need to find the greatest common factor (GCF) of 18 and 24.

The prime factorization of 18 is 2 × 3².

The prime factorization of 24 is 2³ × 3.

To find the GCF, we need to take the product of all the common factors and the lowest exponent of each factor that is common to both numbers. In this case, the common factor is 2 and the lowest exponent is 1.

GCF(18, 24) = 2¹ = 2

So Cedric could have made up to 2 equal groups of stickers.

To find how many of each type of sticker he put in each group, we can divide the number of stickers by the number of groups.

For the rocket stickers, Cedric put 18 stickers in 2 groups, so he put 9 rocket stickers in each group.

For the airplane stickers, Cedric put 24 stickers in 2 groups, so he put 12 airplane stickers in each group.

Therefore, Cedric put 9 rocket stickers and 12 airplane stickers in each of the 2 groups he made.

The true statements for the expression 5 / 8m = 10 are,

A) The equation can be the same as 1 / 8m = 2.

C) The equation can be solved by dividing both sides by 5 / 8.

D) The equation can be solved by multiplying both sides by 8 / 5.

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.

Given expression is 5 / 8m = 10.

The true statements are:-

A) The equation can be the same as 1 / 8m = 2.

5 / 8m = 10

m= 16

1 / 8m = 2

m = 8 x 2 = 16

C) The equation can be solved by dividing both sides by 5 / 8.

5 / 8m / 5 / 8= 10 / ( 5 / 8 )

m = 8 x 2 = 16

D) The equation can be solved by multiplying both sides by 8 / 5.

5 / 8m x 8 / 5 = 10 x 8 / 5

m = 16

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Answer:

Step-by-step explanation:

a^2+b^2=c^2

c^2-b^2=a^2

2^2-1^2=c^2

c^2=3

c=[tex]\sqrt{3}[/tex]

espero que esto te ayude, pero no se si esta correcto lo siento

The radius of the cylinder will be 1.6 inches. Then the correct option is A.

Let r be the radius and h be the height of the cylinder. Then the volume of the cylinder will be given as,

V = π r²h cubic units

Patty is using a cylinder shape container to hold 48 in³ of liquid. The height of container is 6 inches tall. Then the radius of the circle is given as,

V = π r²h

48 = 3.14 x r² x 6

r² = 2.5477

r = 1.596

r ≈ 1.6 inches

The radius of the cylinder will be 1.6 inches. Then the correct option is A.

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Answer:

Step-by-step explanation:

Distribute.

8x + 32

pt2. is A.

The point (1, 1) does not satisfy the given inequality system.

Given is the inequality system as -

y < 2x - 1

y > x - 1

Refer to the graph of the inequalities attached. The points in the shaded region represents the solution coordinates for the given system of equations. The point (1, 1) lies on the dotted line. So, this does not satisfy the given inequality system.

Therefore, the point (1, 1) does not satisfy the given inequality system.

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If you were to make a quadrilateral by rotating triangle RST 180 degrees about U, a Rhombus would form.

A Rhombus is a type of quadrilateral that is defined by its unique properties. The most distinctive characteristic of a Rhombus is the presence of two pairs of congruent and adjacent sides. These sides create a symmetrical figure that is easily recognizable. The other key property of a Rhombus is the presence of two pairs of equal, opposite angles. When a triangle, such as RST, is rotated 180 degrees about a central point, such as U, it creates a Rhombus. The sides of the triangle become the sides of the Rhombus, while the rotation creates the diagonal lines that connect the vertices. This rotation also ensures that the Rhombus has the desired properties of two pairs of congruent sides and two pairs of equal, opposite angles.

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Jara wants to choose a negative integer closest to zero. The closest negative integer to zero is -1, which is closer to zero than -3. So, Jara has only one possible choice, which is -1.

Jara needs to choose a negative whole number that is nearer to zero than - 3 on the number line. To find the response, we want to decide the nearest regrettable whole number to nothing. On the number line, the nearest bad whole number to zero is - 1. This intends that - 1 is nearer to zero than some other negative number, including - 3.

Since Jara needs to choose a negative whole number that is nearer to zero than - 3, her main conceivable decision is - 1. It is vital to take note of that zero isn't viewed as a negative whole number, and the whole numbers on the number line are either sure or negative, not both.

Taking everything into account, Jara has just a single conceivable decision, which is - 1. This implies that the response to the inquiry is 1. It is likewise vital to recall that while choosing a number more like zero, we should pick the number that is nearest to nothing and in addition to any number that is nearer to zero than another number.

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Note that the tools are matched against the alphabet are given as follows:

A. Drill index - Box that drill bits are stored in

B. Fender cover - Used to protect the vehicle's finish

C. Impact driver - Hand tool that is used to loosen fasteners that are very tight

D. Speed handle - Fits between a socket and a ratchet

F. Flare nut wrench - Tool used to loosen and tighten fuel line fittings

J. Stubby screwdriver - What a very short screwdriver is called

K. 6-point socket - Can be used on a 6-point fastener head

L. 12-point socket - Used on square drive fastener heads

N. Impact driver - An air-powered tool used to remove fasteners

O. Impact socket - Used with air tools

P. Slide hammer - Puller that uses a heavy weight that is slid against its handle

Q. Bearing separator - Used with a puller to pull a bearing from a shaft

R. Torque wrench - Measures the turning effort applied to a fastener

S. Chisel - Hand tool used for quickness when assembling parts

T. Dead blow hammer - A soft-faced hammer that has metal shot in its head

U. Creeper - Used to move around under vehicles

V. Hex wrench/ViseGrips - Commonly called Allen wrenches/Pliers that can be locked to a part

W. Safety goggles - Worn whenever working in the shop

X. Crowfoot wrench/Extension - Wrench used with a ratchet

Y. Coarse tooth hacksaw blade - Hacksaw blade that is the best choice for cutting thick steel

Z. Fine tooth hacksaw blade - Hacksaw blade that is the best choice for cutting Sheet Metal.

The above tools can be classified as hand tools and power tools used in various mechanical and automotive applications.

Their importance lies in their ability to make repair and maintenance tasks efficient and precise, ensuring the proper functioning of machinery and vehicles.

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The seller reports the cost of delivery on the balance sheet as an asset.

FOB stands for "Free on board." It serves as a declaration that the risk and ownership of the items have been passed from the seller to the buyer. This implies that the vendor is not responsible if the items are damaged or destroyed during shipping.

Given:

Inventory of finished goods is shown as a current asset on the balance sheet.

Inventory of finished goods is an example of a current asset that will or should be sold within a year.

Stock does not qualify as a non-current asset. A non-current asset is one that has a lifespan longer than a year, such as machinery or equipment.

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Answer:

Step-by-step explanation:

(a) To find the height that represents the 90th percentile, we would need to use a standard normal distribution table and a Z-score. We need to first find the Z-score corresponding to the 90th percentile by solving for Z using the formula:

Z = (x - μ) / σ

Where x is the height at the 90th percentile, μ is the mean height (64.7 inches), and σ is the standard deviation (2.9 inches).

Z = (x - 64.7) / 2.9

Since the 90th percentile corresponds to a Z-score of 1.28, we can use the above formula to find x:

x = μ + Zσ

x = 64.7 + (1.28)(2.9)

x = 68.9 inches

So, the height that represents the 90th percentile is 68.9 inches.

(b) To find the first quartile (25th percentile), we would use a Z-score of -0.67.

x = μ + Zσ

x = 64.7 + (-0.67)(2.9)

x = 62.3 inches

So, the height that represents the first quartile is 62.3 inches.

We can use the number -5 as:

1. Temperature: If a temperature is measured below 0 degrees Celsius (the freezing point of water), it can be expressed as a negative number. For example, if the temperature is -5 degrees Celsius, it means that it is 5 degrees below the freezing point.

The temperature of 82 degrees above zero is a positive number, and we write it as 82, whereas the temperature of 5 degrees below zero is a negative number, and we write it as -5.

2. Money: In transactions of money, a negative number can be used to represent a debt, or an amount owed. For example, if someone's account balance is -$5, it means they owe $5.

3. Coordinate System: In coordinate system, a point can be located using two numbers, representing its x and y coordinates. If the point has an x coordinate of -5, it means that it is 5 units to the left of the origin (0,0).

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The number of model of cars Eleni has in terms of R is E = R / 2 - 3.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13. Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.

Let us suppose the model of cars with Ridhi = R.

Andrea thus has:

A = R / 2

Eleni has three fewer model cars that Andrei. Thus,

E = R / 2 - 3

Hence, the number of model of cars Eleni has in terms of R is E = R / 2 - 3.

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Sampling with replacement is a type of sampling technique in which the same unit can be selected multiple times from the sample population.

This type of sampling is used when the size of the sample population is very large and it is not possible to select a unique unit from the population. The formula for sampling with replacement is nCr, where n is the population size and r is the sample size. For example, if the population size is 10 and the sample size is 3, then the total number of combinations would be 10C3 = 120. This means that 120 possible samples can be selected from the population, with each unit having an equal probability of being selected. Sampling with replacement is often used in statistical analysis to generate a representative sample of the population.

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The estimated money collected in concession sales is 39000000.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount made in sales:

$10, 486, 525 = hot dog sales

$23, 451,492 = large drink sales

$4,765, 300 = soft pretzel sale

$1,342,653 = nacho sales

Now,

Rounding to the nearest million.

$10, 486, 525 = hot dog sales = $10,000,000

$23, 451,492 = large drink sales = $23,000,000

$4,765, 300 = soft pretzel sale = $5,000,000

$1,342,653 = nacho sales = $1,000,000

Now,

The estimated money collected in concession sales.

= 10,000,000 + 23,000,000 + 5,000,000 + 1,000,000

= 39000000

Thus,

The estimated money collected is 39000000.

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A. For 22.3 tons of sugar, the two companies would charge the same.

B. The cost, when the two companies charge the same, would be $5040.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

A. To find the amount of sugar for which the two companies charge the same, we can set the cost for each company equal to each other and solve for the amount of sugar.

The equation for the first company would be:

2804 + 100.25x (where x is the number of tons of sugar)

The equation for the second company would be:

225.75x

Setting these two expressions equal to each other and solving for x, we get:

2804 + 100.25x = 225.75x

x = 22.3

So, for 22.3 tons of sugar, the two companies would charge the same.

B. To find the cost when the two companies charge the same, we can plug 22.3 tons of sugar into either of the two equations:

2804 + 100.25 × 22.3 = $5039.57

or

225.75 × 22.3 = $5039.57

So, the cost when the two companies charge the same would be $5040.

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The question seems incomplete, the missing part has been below:

The sugar-sweet company will choose from two companies to transport its sugar to market. The first company charges $2804 to rent trucks plus an additional fee of $100.25 for each ton of sugar. The second company does not charge to rent trucks but charges $225.75 for each ton of sugar.

A. For what amount of sugar do two companies charge the same?

B. What is the cost when two companies charge the same?

Answer:

x is undefined

Step-by-step explanation:

[tex]\ln[/tex] is the Natural Logarithm.

The natural log of a negative number is undefined.

The equation to represent proportionality relationship is y = 8.5x.

The ratio between two proportional quantities' constant values is known as the constant of proportionality. When either their ratio or their product gives a constant, two changing values are said to be in a proportionate relationship. The Direct Variation and Inverse Variation types of proportions between the two provided quantities determine the proportionality constant's value.

Direct Variation: The direct proportionality equation is y = kx, which demonstrates that as x rises, y rises at the same rate.

Inverse Variation: The indirect proportionality equation, y = k/x, demonstrates that when y rises, x falls, and vice versa.

Two variables are said to be proportion if an increase/decrease in one variable causes an increase/decrease in the other variable.

Let x represent the movie tickets and y represent the cost.

Since x and y are proportional, hence:

y ∝ x

y = rx

Where r is the constant of proportionality.

From the table to find x, when y = 17, x = 2, hence:

17 = 2r

r = 8,5

y = 8.5x

Hence, the equation to represent proportionality relationship is y = 8.5x.

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The total number of coins is equal to 35

We have the following parameters that can be used in our computation:

Given that She keeps 3 of the coins in her box, which is 4% of the collection.

Number of coins in the box = 7

Proportion of coins in the box = 20%

These parameters mean that the Number of coins in the box = Proportion of coins in the box x Total number of coins

Substitute the known values in the equation, so, we have the following representation

7 = 20% x Total number of coins

Then Divide both sides by 18%

Total number of coins = 35

Hence, the total number of coins is; 35

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Answer: y= -3/2

Step 1: Move the terms

Step 2: Collect like terms and Calculate

Step 3: Divide both sides

The steps with the problem is on the png below.