A survey asked 300 students to choose their favorite type of movie.
The results are shown in the following table.
(a) Find the percentage for each type of movie.
Type of movie
Action
Comedy
Drama
Thriller
Number of
students
27
42
120
111
Percentage
1%
%
%
%
X
5

The flagpoles are 40 feet, and the wires cross at E, which is directly above point F on the ground. Then EF is 5.142 feet.

The maximum height for flagpoles is twenty (20) feet. (3) When next to or encircled by residential lots, the flagpole may not be erected in any side or rear yard setback.

It is referred to as a right angle if the angle formed by two rays exactly equals 90 degrees, or π/2.

by applying similar triangles on triangles we get the equation on ABC and EFC

40y+9x=360

by applying similar triangles on triangles, we get the equation on DBC and EBF

y=3/10x

x=120/7

putting values in the very first equation we get

y=3/10x(120/7)

y=5.142

EF=5.142 feet.

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Answer:

56%

Step-by-step explanation:

So 25 orders of flowers were sold, and 14 of them contained roses. So we know that 14 out of the 25 orders contained roses. You can turn that sentence into an expression: \(\frac{14}{25}\). \(\frac{14}{25}\) is in fraction form, but the question is asking for percentages. \(\frac{14}{25}\) in percentage form is easy to find. All you need to do is get the denominator to 100 and then whatever the numerator is, that is your percentage. \(\frac{14}{25}\) will be turned into \(\frac{56}{100}\). The numerator is 56, thus the percentage is 56%.

Answer:

24= 8x+4x

Step-by-step explanation:

.

The amount of Duane's first payment that goes to interest is approximately $26.47.

To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.

The formula to calculate the interest portion of a loan payment is:

Interest = Remaining Balance * Monthly Interest Rate.

Let's calculate the interest for the first payment using the given information:

Loan Amount = $5,000.00

Monthly Payment = $118.57

First, we need to calculate the monthly interest rate:

Monthly Interest Rate = Annual Interest Rate / 12

= 6.5% / 12

= 0.00542

Next, we need to calculate the remaining balance after the first payment:

Remaining Balance = Loan Amount - Principal Paid

= $5,000.00 - $118.57

= $4,881.43

Finally, we can calculate the interest portion of the first payment:

Interest = Remaining Balance * Monthly Interest Rate

= $4,881.43 * 0.00542

= $26.47

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The graph of the piecewise function is the one in option D-

First, we know that:

f(x) = 4  when x ≤ 3

So, we want to have a horizontal line in the left side of the graph, such that it ends in a closed circle at x = 3 (we need to have a closed circle because the symbol ≤ is used).

From the given graphs, the only one with that form is D.

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The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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Answer:

2 24" X 24" square cakes are needed.

Step-by-step explanation:

This question is solved by proportions.

Area of a square:

The area of a square of side l is given by:

\(A = l^2\)

8" X 8" square cake serves 8 people

Thus:

\(A = 8*8 = 64\)

Area of 64 serves 8 people, so for 1 people, an area of 64/8 = 8 is needed.

144 people

The total area needed is:

\(A = 144*8 = 1152\)

How many 24" X 24" square cakes?

24*24 = 576

1 cake - 576

x cakes - 1152

Applying cross multiplication:

1152/576 = 2

2 24" X 24" square cakes are needed.

The solutions to the nearest tenth are x = -0.1 and x = 1.3

From the question, we have the following parameters that can be used in our computation:

5x² - 2x - 1 = 4x

Evaluate the like terms

So, we have

5x² - 6x - 1 = 0

Next, we solve using a graph

The graph of 5x² - 6x - 1 = 0 is added as an attachment

From the attached graph, we can see that the curve intersects with the x-axis at x = -0.1 and x = 1.3

This means that the solutions are x = -0.1 and x = 1.3

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Answer:

The solutions to the equation 5x^2-2x-1=4x to the nearest tenth are x ≈ 1.3 or x ≈ -0.4.

Step-by-step explanation:

To solve the equation 5x^2-2x-1=4x to the nearest tenth, we can start by moving all the terms to one side of the equation.

5x^2-2x-1=4x

5x^2-6x-1=0

Next, we can use the quadratic formula to solve for x:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 5, b = -6, and c = -1.

Plugging these values into the formula gives:

x = (-(-6) ± sqrt((-6)^2 - 4(5)(-1))) / 2(5)

x = (6 ± sqrt(56)) / 10

Answer:eeeeeStep-by-step explanation:

treeee

Answer:

1020

Step-by-step explanation:

1200*.15=180

Then

1200-180=1020 Ans

Answer:

$180

Step-by-step explanation:

$1200*15% = $180

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

Answer:

Hi

Please mark brainliest ❣️

The total surface area of the cylinder is 157 square feet.

Given the radius of the cylinder = 4 inches

height of the cylinder = 9 inches

Total surface area is calculated by the formula:

A = 2πr² + 2πh

A = 2 × 3.14 × 4² + 2 × 3.14 × 9

or, A = 157 square feet.

Therefore the total surface area of the cylinder is 157 square feet.

The surface area of a solid item is a measurement of the total volume that the surface of the thing occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more complicated than the definition of arc length for one-dimensional curves.

The definition of surface area for polyhedral (i.e., particles with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces. When smooth surfaces, like spheres, are represented as parametric surfaces, their surface area can be calculated.

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Answer:

negative correlation

Step-by-step explanation:

his fuel keeps decreasing every time he uses his motorcycle

In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:

Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.

Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.

These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).

Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.

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The polynomial that represents the area of the shaded region is given as follows:

x² - 3x + 36.

The area of a rectangle is given by the multiplication of the width and the length of the triangle, as follows:

A = lw.

For the entire region, the area is given as follows:

A = (x + 1)(x + 1)

A = x² + 2x + 1.

The area of the white region is given as follows:

Aw = 5(x - 7)

Aw = 5x - 35.

Then the area of the shaded region is given as follows:

As = A - Aw

A = x² + 2x + 1 - (5x - 35)

A = x² + 2x + 1 - 5x + 35

A = x² - 3x + 36.

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Answer:

hello! :) have a good day!

1). 24

2). 27

3). 5

PICTURE 1:

The answer is 24: (13 7/10) Rounded To The Nearest Whole Number is: (14)

\(13 \frac{7}{10} = 14\)

AND,

(10 1/8) Rounded To The Nearest Whole Number is: (10)

\(10 \frac{1}{8} = 10\)

So, 14 + 10 = 24

______________________________________

PICTURE 2:

The answer is 5: (8 1/5) Rounded To The Nearest Whole Number is: (8)

\(8 \frac{1}{5} = 8\)

AND,

(2 7/8) Rounded To The Nearest Whole Number is: (3)

\(2 \frac{7}{8} = 3\)

So, 8 - 3 = 5

______________________________________

PICTURE 3:

The answer is 27: (58 5/12) Rounded To The Nearest Whole Number is: (58)

\(58 \frac{5}{12} = 58\)

AND,

(30 5/7) Rounded To The Nearest Whole Number is: (31)

\(30 \frac{5}{7} = 31\)

So, 58 - 31 = 27

______________________________________

HERE ARE ALL THE ANSWERS:

PICTURE 1: 24

PICTURE 2: 5

PICTURE 3: 27

HOPE THIS HELPS!! :)

Answer:

Step-by-step explanation:

So the Dimensions are:

Height: 300cm

Length: 300cm

Width: 2cm

SA = 2(H*L)+2(H*W)+2(L*W)

= 180000 + 1200 + 1200

= 182400 \(cm^{2}\) OR 18.24\(m^{2}\)

Answer:

182400 cm²

Step-by-step explanation:

At = 2( l×w + l×h + h×w)

= 2(300cm×2cm + 300cm×300cm + 300cm×2cm)

= 2(600cm² + 90000cm² + 600cm²)

= 2×91200cm²

= 182400 cm²

The area of the composite figure is 111 square units.

A composite figure is a 2D shape or figure that is made up of two or more simpler shapes or figures combined together. These simpler shapes can be any combination of polygons, circles, or other curves.

Composite figures are often formed when two or more basic shapes are put together to create a more complex shape. For example, a figure that consists of a rectangle and a triangle placed together is a composite figure.

To find the area of a composite figure like this, we can break it up into simpler shapes and then find the area of each shape and add them together.

First, we can see that the shape consists of three triangles and a rectangle:

Triangle 1: (0,3), (2,3), (2,7)

Triangle 2: (-7,7), (-7,6), (5,-6)

Triangle 3: (5,1), (-1,-2), (-5,2)

Rectangle: (-3,5), (0,3), (-7,7), (-7,6)

To find the area of each triangle, we can use the formula:

Area = 1/2 * base * height

For Triangle 1, the base is 2 - 0 = 2 and the height is 7 - 3 = 4. So the area is:

Area of Triangle 1 = 1/2 * 2 * 4 = 4

For Triangle 2, the base is 5 - (-7) = 12 and the height is 7 - (-6) = 13. So the area is:

Area of Triangle 2 = 1/2 * 12 * 13 = 78

For Triangle 3, we can see that it is a right triangle with sides of length 6, 6, and 8. So the area is:

Area of Triangle 3 = 1/2 * 6 * 8 = 24

To find the area of the rectangle, we can use the formula:

Area = length * width

The length is the distance between (-7,7) and (-7,6), which is 1. The width is the distance between (-7,7) and (-3,5), which is 5. So the area is:

Area of Rectangle = 1 * 5 = 5

Finally, we can add up the areas of all the shapes to get the total area:

Total Area = Area of Triangle 1 + Area of Triangle 2 + Area of Triangle 3 + Area of Rectangle

Total Area = 4 + 78 + 24 + 5

Total Area = 111 square units

Therefore, the area of the composite figure is 111 square units.

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Answer:

Step-by-step explanation:

Answer:

there are many case and additional

items are needed to fulfill to order

of60items ordered

Step-by-step explanation:

Answer:

B. A hill that rises 2 feet for every 15 feet of run.

Step-by-step explanation:

The two must have COPs. We'll narrow them down.

For A, we divide 10 by 2.

\(\frac{10}{2} = 5.\)

For B, we divide 15 by 2.

\(\frac{15}{2} = 7.5.\)

B has the larger number, so it is B.

Answer:

Step-by-step explanation:

step one look at the answer choice

step two see which one is bigger

step three then find the smallest

step four put which one is steeper

Answer:

-18

Step-by-step explanation:

Hope This Helps :)

The present value of the loan will be = R36,250

The principal capital (P) = R25 000

Interest rate for the payment (R)= 7.5%

Time for the payment (T)= 6 years

Therefore simple interest = P×T×R/100

= 25,000×6×7.5/100

= 250×6×7.5

= R11,250

The present value of the loan will be;

= 25,000 + 11,250

= R36,250

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Answer:

If 3 sweaters cost $25.95, then 6 sweaters must cost $95.69.

Step-by-step explanation:

Im sorry if this answer isnt correct.

The hοle needs tο be 39 inches deeper.

A cοnversiοn factοr is a number used tο change οne set οf units tο anοther, by multiplying οr dividing. When a cοnversiοn is necessary, the apprοpriate cοnversiοn factοr tο an equal value must be used. Fοr example, tο cοnvert inches tο feet, the apprοpriate cοnversiοn value is 12 inches equals 1 fοοt.

The current depth οf the hοle is 2 feet 9 inches, which is the same as 2 + 9/12 = 2.75 feet (since there are 12 inches in 1 fοοt).

Tο find οut hοw much deeper the hοle needs tο be, we need tο subtract the current depth frοm the required depth:

6 feet - 2.75 feet = 3.25 feet

Hοwever, we are asked tο express the answer in inches, sο we need tο cοnvert the 3.25 feet tο inches using the given cοnversiοn factοr:

3.25 feet x 12 inches/1 fοοt = 39 inches

Therefοre, the hοle needs tο be 39 inches deeper.

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Answer:

Step-by-step explanation:

The statement #5 and #7 give an outcome of the statement #8:

This is called transitive property of congruence:

Correct choice is C

Answer:

C. Transitive property of congruence

Step-by-step explanation:

Transitive property of congruence means, if one pair of lines or angles or triangles are congruent to a third line or angle or triangle, then the first line or angle or triangle is congruent to the third line or angle or triangle.

When edge D connects with edge X, this net is folded into a cube, which is obtained by folding the given figure in cube.

A cube is a solid shape with six square faces. Each side of a square  has the same side length, so all  faces are the same size.

A cube has 12 sides and 8 vertices. Each vertex refers to the angle where the three edges of the cube meet.

Shape Properties of  Cube  

Thus, when edge D connects with edge X, this net is folded into a cube.

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

1.8

Step-by-step explanation: