If you have a job and you make $36,000 a year and 42% of it goes to taxes and deductions then how much in dollars are you paying in taxes?

The approximate height of the tree is given as follows:

45.6 ft.

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The altitude segment for this problem is given as follows:

14.5 ft.

The bases are given as follows:

5.2 ft and x ft.

Hence the value of x is given as follows:

5.2x = 14.5²

x = 14.5²/5.2

x = 40.4 ft.

Hence the height of the three is given as follows:

5.2 + 40.4 = 45.6 ft.

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Answer:

He would make 300 dollars.

Step-by-step explanation:

15 x 5 = 75

75 x 4 = 300.

Answer:

answer is 300

Step-by-step explanation:

Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..

Hopes this help.

Answer

D

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

Answer:

  see attached for a graph

Step-by-step explanation:

When g(x) is transformed to

  f(x) = f(x -h) +k

The graph of g(x) is translated h units right and k units up.

__

Here, the function g(x) = x^2 is transformed to ...

  f(x) = g(x -3) +12 = (x -3)^2 +12

Then the graph of f(x) is the graph of g(x)=x^2 translated 3 units right and 12 units up.

Option (a) is the correct answer. When two figures are similar, it means they have the same shape but different sizes.

How to solve the question?

In other words, their corresponding angles are congruent, and their corresponding side lengths are proportional.

Option (b) and (d) suggest that the corresponding side lengths of A and B are related by a constant factor (either 2 or 1/2). However, this is not necessarily true for all similar figures. The constant of proportionality can be any positive real number.

Option (c) suggests that the corresponding side lengths of A and B are equal, which means that A and B are not just similar but congruent. This is not necessarily true for all similar figures, as similar figures can differ in size.

Therefore, option (a) is the only answer that must always be true for similar figures. The corresponding side lengths of similar figures are proportional, which means that if one side of figure A is twice as long as a corresponding side of figure B, then all other corresponding sides will also be in the same ratio of 2:1. Similarly, if one side of figure A is three times as long as a corresponding side of figure B, then all other corresponding sides will also be in the same ratio of 3:1. This proportional relationship holds true for all pairs of corresponding sides in similar figures

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Option (a) is the correct answer.  The corresponding side lengths of A and B are proportional, must always be true if Figure A is similar to Figure B.

When two figures are similar, their corresponding angles are congruent, and their corresponding side lengths are proportional. This means that if we take any two corresponding sides of the figures, the ratio of their lengths will be the same for all pairs of corresponding sides.

Option b and d cannot be true, as they both suggest a specific ratio of corresponding side lengths, which is not necessarily true for all similar figures.

Option c is not necessarily true, as two similar figures can have corresponding side lengths that are not equal but still have the same ratio.

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As the figure is not available here is a general method to solve this problem if you have the figure available. The area of triangle ADE is 45 cm2

Unfortunately, there is no figure attached to your question, so I cannot solve it accurately without knowing the dimensions of the trapezoid DBCE. However, I can provide you with a general method to solve this problem if you have the figure available:

Let trapezoid DBCE = A1

Let triangle ADE = A2

Let triangle ABC = A = A1 + A2 = BC × h/2

DE/BC = 3/5 = h2/h

h2 = 3/5 h

h = h1 + h2

h = h1 +3/5h

h1 = h - 3/5h

h1 = 2/5h

A2 = DE × h2 /  2

A2 = DE/2 × 3/5 h

A2 = DE × h × 3/10

DE × h = 10/3 A2

A1 = (BC + DE)/2 × h1

A1 = (BC + DE)/2 × 2/5h

A1 = BC/2 × 2/5h + DE/2 × 2/5h

A1 = (BC×h) / 2 ×2/5 + DE × h × 1/5

A1 =  ( A1 + A2) × 2/5 + 10/3 × A2 ×1/5

A1 = (2/5×A1) + (2/5 ×A2) + (10/15 × A2)

A1 - 2/5A1 = 2/5A2 + 10/15A2

3/5 A1 = 6/15A2 + 10/15A2

3/5A1 = 6/15A2

3A1 = 16/3A2

A2 = 9/16 A1   (where, A1 = 80\(cm^{2}\) )

A2 = 9/16 × 80\(cm^{2}\)

A2 = 45 \(cm^{2}\)

The area of triangle ADE is 45 cm2

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The correct question should be

In the figure, the area of trapezoid DBCE is 80 cm2. The ratio of the bases DE to BC is 3: 5. What is the area of triangle ADE, in square centimeters?

The answer is 3311.08, 56.12 * 49 = 3311.08

Answer:

2749.88

Step-by-step explanation:

THERES THE ANSWER  have a NICE DAY!! B-)

The surface area of the box formed by the pattern is given as follows:

72 cm².

The surface area of a figure is calculated as the sum of the areas of all the components of a figure.

The components of the figure in this problem can be defined as follows:

The area of the large rectangle is given as follows:

6 x 10 = 60 cm².

The combined area of the smaller rectangles is given as follows:

2 x 3 x 2 = 12 cm².

Hence the surface area of the figure is given as follows:

60 + 12 = 72 cm².

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The volume of the solid is 1789.33

For a circle of radius 11, we have the following equation:

x²+y²=11²

x²+y²=121

Now, making it explicit for x:

\(x=\sqrt{121-y^2}\)

Then, if we consider that for a height y, the length x is double, we have that the length of each cross-section is given by:

\(s=\sqrt[2]{81-y^2}\)

With this, we can propose the following integral to obtain the volume that they are asking us:

\(\int\limits^1_0 {s^2} \ \, dy \\\int\limits^1_0 ({\sqrt[2]{121-y^2})^2 } \, dy\\\\\int\limits^1_0 {4*(121-y^2)} \, dy\\\\4*(121y-\frac{y^3}{3} )\)

Finally, calculating, we have that the volume is V=1789.33

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The probability that a truck drives between 150 and 156 miles in a day is 0.0247. Using the standard normal distribution table, the required probability is calculated.

The formula for calculating the probability distribution for a random variable X, Z-score is calculated. I.e.,

Z = (X - μ)/σ

Where X - random variable; μ - mean; σ - standard deviation;

Then the probability is calculated by P(Z < x), using the values from the distribution table.

The given data has the mean μ = 120 and the standard deviation σ = 18

Z- score for X =150:

Z = (150 - 120)/18

   = 1.67

Z - score for X = 156:

Z = (156 - 120)/18

  = 2

So, the probability distribution over these scores is

P(150 < X < 156) = P(1.67 < Z < 2)

⇒ P(Z < 2) - P(Z < 1.67)

From the standard distribution table,

P(Z < 2) = 0.97725 and P(Z < 1.67) = 0.95254

On substituting,

P(150 < X < 156) = 0.97725 - 0.95254 = 0.02471

Rounding off to four decimal places,

P(150 < X < 156) = 0.0247

Thus, the required probability is 0.0247.

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The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.

To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:

Area = (1/2) * a * b * sin(C),

where a and b are the lengths of the two sides adjacent to the given angle C.

In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:

c² = a² + b² - 2ab * cos(C),

where C is the angle opposite side c. Rearranging the formula, we have:

b² = a² + c² - 2ac * cos(C),

b² = 86² + 37² - 2 * 86 * 37 * cos(128°).

By substituting the given values and calculating, we find b ≈ 63.8.

Now, we can calculate the area using the formula:

Area = (1/2) * a * b * sin(C),

Area = (1/2) * 86 * 63.8 * sin(128°).

By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.

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Answer:

D: 7

Step-by-step explanation:

1.75 (7) + 4.50

12.25 + 4.50

= 16.75

16.75 < 20

The expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

Pascal's Triangle is a triangular array of numbers in which the value in each cell is the sum of the two numbers directly above it.

To expand the given expression (x²-3y)⁴ as per Pascal's triangle:

First, write down the fourth row of Pascal's Triangle as:

1 4 6 4 1

The above numbers represent the coefficients of the terms in the expansion of (a+b)⁴, where a is x² and b is -3y. Therefore, it can be written as,

1×(x²)⁴ + 4×(x²)³×(-3y) + 6×(x²)²×(-3y)² + 4×(x²)(-3y)³ + 1(-3y)⁴

Simplify each term,

x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸

Therefore, the expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

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Answer: \(m\angle DE F=90^{\circ}\)

Step-by-step explanation:

The slope of \(DE\) is \(\frac{7-3}{5-4}=4\).

The slope of \(EF\) is \(\frac{3-2}{4-8}=-\frac{1}{4}\).

Thus, \(DE \perp EF\), meaning \(m\angle DE F=90^{\circ}\).

Answer:

16<a number

Step-by-step explanation:

This is the less than symbol:    <

16 is less than ( < ) a number

Lets put "a number" as x

16<x

Answer:

16 < n

Step-by-step explanation:

< - Less than. They way I remember is that the symbol is like an L.

n - Stands for number. You can use any letter I just chose that one.

Answer:

8 x 9

Have a nice day!

Answer: both of them made ok estimates but i think issacs was better. hope this helps! ^-^

Step-by-step explanation:

Answer:

341 matches

Step-by-step explanation:

Given

\(Players = 342\)

\(Match = 2\ players\)

Required

Total number of matches.

The total number of matches is calculated by getting the number of matches in each round.

i.e.

\(Matches = \frac{Players}{2}\)

So, we have:

Round 1

\(Matches = \frac{342}{2} = 171\)

Round 2

\(Matches = \frac{171}{2} = 85\ R\ 1\) [R 1 means remainder 1]

Round 3

\(Matches = \frac{85 + 1}{2} = \frac{86}{2} = 43\)

[The remainder is added to each round]

Round 4

\(Matches = \frac{43}{2} = 21\ R\ 1\)

Round 5

\(Matches = \frac{21+1}{2} = \frac{22}{2} = 11\)

Round 6

\(Matches = \frac{11}{2} = 5\ R\ 1\)

Round 7

\(Matches = \frac{5+1}{2} = \frac{6}{2} =3\)

Round 8

\(Matches =\frac{3}{2} = 1 + 1\)

Round 9

\(Matches = \frac{1+1}{2} =\frac{2}{2} = 1\)

So, the total is:

\(Total = 171 + 85 + 43 +21 + 11 + 5 + 3 + 1+1\)

\(Total = 341\)

The area of the shaded region is equal to 425π / 18 square centimeters.

The picture indicates us that we must find the area of the shaded region, consisting in a circular section with a measure of central angle of 85° and a radius of 10 centimeters. The area (A), in square centimeters, can be found by using the following formula:

A = (α / 360) · π · r²

Where:

If we know that α = 85° and r = 10 cm, then the area of the shaded region is:

A = (85 / 360) · π · 10²

A = 425π / 18 cm²

The area of the shaded region is equal to 425π / 18 square centimeters.

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According to the information, the perimeter of the triangle is ≈ 31.18

To find the distance between two points, we can use the distance formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Let's label the coordinates as follows:

Point 1: (-2, 3)

Point 2: (3, -2)

Now we can substitute these values into the distance formula:

distance = sqrt((3 - (-2))^2 + (-2 - 3)^2)

distance = sqrt((5)^2 + (-5)^2)

distance = sqrt(25 + 25)

distance = sqrt(50)

distance ≈ 7.07

Therefore, the distance from (-2, 3) to (3, -2) is approximately 7.07 units.

To find the perimeter of the triangle, we need to find the length of all three sides of the triangle and then add them up.

Using the distance formula, we can find the length of the sides:

Side 1: (-2,3) to (3,-2)

d = √[(3 - (-2))^2 + (-2 - 3)^2]

= √[5^2 + (-5)^2]

= √50

= 5√2

Side 2: (3,-2) to (-7,-2)

d = √[(-7 - 3)^2 + (-2 - (-2))^2]

= √[(-10)^2 + 0^2]

= 10

Side 3: (-7,-2) to (-2,3)

d = √[(-2 - (-7))^2 + (3 - (-2))^2]

= √[5^2 + 5^2]

= 5√2

Therefore, the perimeter of the triangle is:

5√2 + 10 + 5√2 = 15√2 + 10 ≈ 31.18 (rounded to two decimal places)

An two of the three sides are equal, so it is an isosceles triangle.

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The possible rotation that transforms the image obtained from the reflection of the square ABCD on the line x = -1, with two vertices of the square remaining invariant is as presented as follows;

A rotation transformation is a transformation in which the preimage coordinate points are turned (in a circular manner) about a point.

The vertices of the square ABCD are; A(1, 4), B(3, 4), C(3, 2), D(1, 2)

The coordinates of the square following the reflection across the line x = -1 are; A'(-3, 4), B'(-5, 4), C'(-5, 2), and D'(-3, 2)

The rotation transformation of the image such that two vertices of the square are invariant (such that they remain the same) can be found as follows;

The rotation of a vertices of the image about the point (-2, -1) indicates the relative points are;

A'(-1, 5), B'(-3, 5), C'(-3, 3), and D'(-1, 3)

The image following a rotation of 270° are;

A''(5, 1), B'(5, 3), C'(3, 3), and D'(3, 1)

The above points relative to the origin are;

A''(5 + (-2), 1 - 1) = (3, 0), B''(5 - 2, -1 + 3) = (3, 2), C';(3 - 2, 3 - 1) = (1, 2), and D''(3 - 2, 1 - 1) = (1, 0)

A''(3, 0), B''(3, 2), C''(3, 4), and D''(1, 4)

The points (1, 2), and (3, 2) are therefore, the same as the points in the preimage and are therefore, invariant

The rotation is therefore;

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Answer:

TS is 3.7

UV is 7.9

SU is 6

Step-by-step explanation:

A.  {(–1, 2), (0, 3), (1, 4), (2, 5)} → Non-linear function.

B. {(–3, 9), (–2, 4), (3, 9), (4, 16)} → Non-linear function.

C. y = –14x + 9 → Linear function

D.  y = x  → Linear function

A linear function has a straight line as its graph. A linear function has the form shown below.

a + bx = y = f (x).

A linear function consists of one independent variable and one dependent variable. The independent and dependent variables are x and y, respectively.

When the absolute value of the input value of the function is connected to more than 1 output value, then the function is linear else it is a non-linear function.

From the given choices;

A.  {(–1, 2), (0, 3), (1, 4), (2, 5)}

Here, the absolute value of 1 is connected to more than one point, so non-linear function.

B. {(–3, 9), (–2, 4), (3, 9), (4, 16)}

Here, the absolute value of 3 is connected to more than one point, so non-linear function.

C. y = –14x + 9 is equivalent to the slope-intercept form of linear function y = ax + b.

D.  y = x is a linear function.

Therefore, B and D are linear functions.

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The area of the semicircle is A = 1187.9 cm².

The area of a circle with a radius of r is A = πr².

Given that, the diameter of the semicircle is 55 cm.

The radius of the semicircle is,

r = 55/2

The area of a semicircle is given by,

A = (1/2)πr²

Substitute the values,

A = (1/2)π(55/2)²

A = 1187.9

Hence, the area of the semicircle is A = 1187.9 cm².

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Answer:

The answer should be 2 1/2

Step-by-step explanation:

Answer:

\( \longmapsto - 3 \frac{3}{8} - \frac{7}{8} \\ = - \frac{27}{8} - \frac{7}{8} \\ = \frac{ (- 27 - 7)}{8} \\ = \frac{( - 34)}{8} \\ = \frac{ (- 34) \div 2}{(8) \div 2} \\ = \frac{ - 17}{4} \\ = \boxed{ - 4 \frac{1}{4} }✓\)