find sides x and z for a 45, -45, 90 right triangle with the hypnotus being 8 radical 3 pls i’m so lost on how to find it

Nominal variables are calculated in current year prices and real variables are measured in base year dollars to adjust for the effect of inflation by the price index.

Nominal Variable:

Nominal variables as well as dichotomous and ordinal variables constitute the three types of categorical variables. Dichotomous variables are a subtype of dummy variables that can only have two levels or categories. On the other hand, ordinal variables can have two or more categories, but they can be ordered or ordered. In addition to categorical variables, other types of variables are used, such as interval and ratio variables. An example of a dummy variable is hair color. Indeed, the hair can be of different colors like blond, black, brown, red, etc. These categories cannot be sorted and no operations can be performed.

Real Variable:

A real variable is one that does not take into account the effects of price and/or inflation. Conversely, nominal variables are variables that do not take into account the effect of inflation. As a result, changes in prices and inflation affect nominal rather than real variables. Real changes in private equity, real disposable income, real government spending, real private fixed investment, etc. The same concept of calculating real wages applies to all of these variables.

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Answer:

Approximately 9.23 cm

Step-by-step explanation:

We can start by finding the height of each domino in the chain, starting with domino 0, which is 5.00 cm tall.

Let h be the height of domino 5. Then we can express the height of each domino in terms of h as follows:

Domino 0: 5.00 cm

Domino 1: 1.13 * 5.00 = 5.65 cm

Domino 2: 1.13 * 5.65 = 6.38 cm

Domino 3: 1.13 * 6.38 = 7.21 cm

Domino 4: 1.13 * 7.21 = 8.16 cm

Domino 5: 1.13 * 8.16 = h cm

Since we know that domino 5 is the tallest domino and is number 5 in the sequence, we can set the height of domino 5 equal to h and solve for h:

h = 1.13 * 8.16

h ≈ 9.23 cm

Therefore, the height of domino 5 is approximately 9.23 cm.

20 lbs is approximately equal to 9.0718 kg  ( rounded to four decimal places )

The conversion factor to convert lbs to kilogram is 0.453592

1 lbs = 0.453592 kg

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in kg = The mass in lbs × conversion factor

Substitute the values in the equation

1 lbs = 0.453592 kg

20 lbs = 20 × 0.453592

Multiply the numbers

= 9.0718 kg  ( rounded to four decimal places )

Therefore, 20 lbs is 9.0718 kg

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There are a total of 2π Radians in a circle that is equal to 360°.

A circle is the locus of all those points which are at the same distance from a particular point called center in any plane. A radian is basically another unit of measuring the angle, it is equivalent to the standard degrees measures that we use commonly to find an angle.

When we make a circle, the angle it makes is equal to 360°. This is a characteristics property of a circle.

Now, we know,

π Radians = 180°

2 x 180° = 2xπ Radians

360° = 2π Radians

So, the circle will have a total of 2π Radian in it.

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The composite function has its value to be 25

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

f(x) = x^2 - 4

g(x) = 2x - 1

Given the composite function [f x g] (3)., we have

[f x g] (3) = f(3) * g(3)

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

[f x g] (3) = (3^2 - 4) * (2 * 3 - 1)

Evaluate

[f x g] (3) = 25

Hence, the solution is 25

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I

II

III

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V

VI

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X

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LXXVIII

LXXIX

LXXX

LXXXI

LXXXII

LXXXIII

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LXXXV

LXXXVI

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LXXXVIII

LXXXIX

XC

XCI

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C

The value of linear equation which representing the relationship between x, the number of months of service, and y, the total amount paid in dollars by an customer is,

⇒ y = 150x

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

For new customers, there is an additional one-time $150 service fee.

Now, Let the number of months of service = x

And, the total amount paid in dollars by an customer = y

Hence, The correct linear equation is,

⇒ y = 150x

Thus, The value of linear equation which representing the relationship between x, the number of months of service, and y, the total amount paid in dollars by an customer is,

⇒ y = 150x

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The value 0.75 inches to mm is 19.05

in one inch = 25.4  millimeters

so in 0.75 inch is 0.75* 25.4 = 19.05 mm

customs (character: in or ″) is the unit of length in the British Imperial and US systems of measurement.1/36yard or1/12

one leg. A word derived from the Roman uncia ("twelfth"), the inch is sometimes used to convert similar units in other measurement systems that are usually understood to be derived from the width of the human thumb. .

The standard for the exact length of one inch has historically varied, but since its adoption by international shipyards in the 1950s and his 1960s, the inch has been based on the metric system and defined exactly as 25.4 mm. increase.

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Answer:

Step-by-step explanation:

m

=

1

;  

n

=

−

2

Explanation:

Given:

4

m

+

n

=

2

-------------------------------Equation (1)

m

−

4

n

=

9

..........................................Equation (2)

Determine the value of n

Showing every step in the first part to demonstrate method

Consider Equation (2)

Add 4n to both sides

m

−

4

n

+

4

n

=

9

+

4

n

But

4

n

−

4

n

=

0

m

=

9

+

4

n

.....................................(3)

Substitute for m in (1) using (3)

4

m

+

n

=

2

→

4

(

9

+

4

n

)

+

n

=

2

Multiply out the bracket

⇒

36

+

16

n

+

n

=

2

36

+

17

n

=

2

Subtract 36 from both sides

17

n

=

−

34

Divide both sides by 17

n

=

−

34

17

=

−

2

'.........................................................

Determine the value of m

Substitute

n

=

−

2

into (2)

m

−

4

n

=

9

→

m

−

4

(

−

2

)

=

9

m

+

8

=

9

m

=

9

−

8

m

=

1

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Check

4

m

+

n

=

2

→

4

(

1

)

+

(

−

2

)

=

2

m

−

4

n

=

9

→

1

−

4

(

−

2

)

=

9

The volume of the composite solid is 320.7 cubic inches.

A composite solid is a three-dimensional object that is created by combining or "composing" two or simpler three-dimensional shapes, such as prisms, cylinders, pyramids, cones, or spheres. The combined shape may be more complicated or asymmetrical than the sum of its parts, yet it may still be measured and examined using the same geometrical rules and formulas. Cones with a frustum or truncated bases, pyramids with rectangular or triangular bases, and structures created by fusing together cylinders, prisms, or spheres are a few examples of composite solids. In order to build and create complicated structures and objects, composite solids are frequently utilized in architecture, engineering, and manufacturing.

To find the volume of the composite solid, we need to find the volumes of each of its components and add them together.

The volume of a hemisphere with a radius of 5 inches is given by:

V_hemisphere = [tex]\frac{2}{3}\pi r^{3}[/tex] = [tex]\frac{2}{3}\pi 5^{3}[/tex] = 523.6 cubic inches

Since there are two hemispheres, the total volume of the hemispheres is:

V_total_hemispheres = 2V_hemisphere = 2(523.6) = 1047.2 cubic inches

The cylinder has a radius of 5 inches and a length of 13 inches. The volume of a cylinder is given by:

V_cylinder = [tex]\pi r^2h[/tex] = [tex]\pi 5^2(13)[/tex] = 1025.0 cubic inches

The total volume of the composite solid is:

V_total = V_total_hemispheres + V_cylinder = 1047.2 + 1025.0 = 2072.2 cubic inches

Rounding to the nearest tenth, we get:

V_total ≈ 320.7 cubic inches

Therefore, the answer is option (c) 320.7 cubic inches.

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When performing a statistical analysis, we work with sample rather than the entire population because, we often lack manpower or resources to gather data. So option D is correct.

Statistical work is usually done with a sample. This is done because, if we try to include and collect data from the whole population, it will be very time consuming and need more manpower and resources. It will become a much tedious process.

So a sample which is representative of the whole population is needed. Selecting a sample size and determining the sample must follow certain criteria. They are population parameters we want to estimate, Cost of sampling, Variability of the population, how hard is it to collect data and how precise we want the final estimates to be. All these are taken into consideration and a sample that properly represent the population is determined without bias.

So, option D is the correct answer.

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The relationship between the lines is (a) parallel

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

y =-5/6x - 4

-10x - 12y = -18

To determine if the two lines are parallel or not we need to compare their slopes.

Make y the subject

y = -5/6x - 4

y = -5/6x  + 3/2

A linear equation represented as

y = mx + c

...has its slope to be m

Using the above as a guide, we have the following:

Since the slopes are equal, the two lines are parallel.

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Answer:

i have no clue whats going on sorry i cant help

Step-by-step explanation:

The solution to the system is (x,y) = (48,19).

To find the solutions to the system of equations, we need to find the values of x and y that satisfy both equations simultaneously. One way to do this is to set the two expressions for y equal to each other and solve for x:

2/3x−5 = 1/2x+3

Multiplying both sides by 6 (the least common multiple of 3 and 2) to clear the fractions, we get:

4x - 30 = 3x + 18

Simplifying, we get:

x = 48

Now that we know x, we can substitute it into either of the original equations to find the corresponding value of y. Let's use the first equation:

y = 2/3(48) - 5 = 19

So the solution to the system is (x,y) = (48,19).

Since there is exactly one solution, the answer is (D) 1 solution.

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Answer:

4P

Step-by-step explanation:

See picture below :)

The base of the triangle is 9 inches and the height is 2 inches.

Let's denote the height of the triangle as h, and the base as b.

We know that the area of a triangle is given by the formula:

Area = (1/2) * base * height

Substituting the values we have:

9 = (1/2) * b * h

Multiplying both sides by 2 gives:

18 = b * h

We also know that the base is 5 inches more than 2 times the height:

b = 2h + 5

Substituting this expression for b in terms of h in the area equation, we get:

18 = (2h + 5) * h

Expanding the right-hand side, we get:

18 = 2h^2 + 5h

Rearranging this equation, we get:

2h² + 5h - 18 = 0

We can solve for h by using the quadratic formula:

h = [-b ± [tex]\sqrt{b² - 4ac}[/tex]] / 2a

where a = 2, b = 5, and c = -18.

Plugging these values into the formula, we get:

h = [-5 ± [tex]\sqrt{5^{2} - 4(2)(-18) }[/tex]] / (2 * 2)

Simplifying:

h = [-5 ± [tex]\sqrt{169}[/tex]] / 4

Taking the positive solution:

h = [-5 + 13] / 4

h = 2

Now that we know the height is 2 inches, we can use the equation b = 2h + 5 to find the base:

b = 2(2) + 5 = 9

Therefore, the base of the triangle is 9 inches and the height is 2 inches.

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It is important to consider scholarships and grants before loans to pay for higher education because Scholarships and grants are free money that do not need to be paid back. That is option A.

Scholarship and grants are defined as payments that are being granted to an individual upon an academic achievement which usually involves a stipulated amount of money.

Scholarship and grants are important due to the following reasons:

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The missing values are 81/4 and 9/2, the complete square is x² - 9x + 81/4 = ( x - 9/2 )².

Given square in the question;

x² - 9x + [ ] = ( x - [ ] )²

To complete the square, we use the form ax² + bx + c.

Compare the form to the square;

Now, consider the vertex form of a parabola.

a( x + d )² + e

We find d, using the formula

d = b/2a

Plug in the values

d = -9/(2×1 )

d = -9/2

Next, find the value of e, using the formula

e = c - b²/4a

Plud in the values

e = 0 - (-9)²/(4×1)

e = -81/4

Hence, the complete square will be;

x² - 9x + 81/4 = ( x - 9/2 )²

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The percentages of executives receiving bonuses are given as follows:

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function for the percentage of executives receiving bonuses in t years after 1998 is given as follows:

B(t) = 4.816(1.338)^t.

2002 is 2002 - 1998 = 4 years after 1998, hence the percentage is given as follows:

B(4) = 4.816(1.338)^4 = 15.44%.

The percentage for 2003 is then given as follows:

B(5) = 4.816(1.338)^5 = 20.65%.

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(a) The additional equation that will complete the system of equations with no solution is -2x + 3y = 7 and 4x - 6y = -16.

(b) The additional equation that will complete the system of equations with  one solution is 2x + y = 8 and 3x - 2y = 7

(b) The additional equation that will complete the system of equations with infinitely many solutions is 4x - 6y = 12 and 2x - 3y = 6

Some additional equations that can complete systems with no solution, one solution, and infinitely many solutions:

No solution:

-2x + 3y = 7

4x - 6y = -16

One solution:

2x + y = 8

3x - 2y = 7

Infinitely many solutions:

4x - 6y = 12

2x - 3y = 6

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Answer: 131.39

Step-by-step explanation:

To convert between pounds and kilogrammes, multiply the number of pounds by 0.45359237, and to do the opposite, multiply the number of kilogrammes by 2.20462.

65 kg is equal to 143.3003 lbs.

The fundamental mass unit in the metric system is the kilogramme (kg). A kilogramme and 1,000 cubic centimetres of water have fairly similar masses.

One pound is approximately equal to 454 grams. One kilogram is the same as 2.20462 lbs.

One pound is equal to 0.45359237 kilograms.

To convert kilograms (kg) to pounds (lbs), you can use the following formula:

To convert kilograms to pounds, multiply your figure by 2.20462

To convert 65 kg to lbs, you can multiply 65 by 2.20462:

65 kg X 2.20462 lbs/kg

= 143.3003 lbs

Therefore, 65 kg is approximately equal to 143.3003 lbs.

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Answer:

1/8 = 12.5%

first, you can convert your fraction into a decimal by 1 divided by 8, which is 0.125. To change a decimal to percent, I can use DP, so D meaning decimal, and P meaning percent so we are going from the decimalcto percent by moving two places to the right, starting at your point. So 0.125 is 12.5%

The conversion of 71 inches is equal to 5.9166666667 feet.

The US customary measuring unit is the foot,

It is denoted by the letter "ft."

To convert 5 meters (m) to feet,

The imperial and American customary systems of measuring both use the symbol "in" to represent 1 inch as a unit of length.

It was decided that one inch was exactly equal to 25.4 millimetres.

12 inches make up a foot, and 36 inches make up a yard.

We know that,

1 in = 0.0833333333 ft

1 ft = 12 in

1 in = 2.54 cm and 1 cm equals 0.3937007874 in

To convert inches to feet,

We need to divide the number of inches by 12,

Since there are 12 inches in a foot.

Therefore,

71 inches divided by 12 gives us:

71 inches ÷ 12 = 5.9166666667 feet

(rounded to ten decimal places)

So 71 inches is equal to approximately 5.9166666667 feet.

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Answer:

122.5 feet

Step-by-step explanation:

[tex]\frac{4}{35}[/tex] = [tex]\frac{14}{x}[/tex]  cross multiply and solve for x

4x = 490  Divide both sides by 4

x = 122.5

The given set of points {(-7, 20), (3, 5), (0, 5), (-2, 0), (6, -4), (-6, -9), (4, 4)} is a function since each x-value has a unique y-value.

To determine whether the given set of points is a function or not, we need to check if each input (x-value) corresponds to exactly one output (y-value).

Let's first list the x-values in the set: -7, 3, 0, -2, 6, and -6.

Now, we need to check if each of these x-values has a unique y-value. We can see that:

The point (-7, 20) has an x-value of -7 and a y-value of 20.

The point (3, 5) has an x-value of 3 and a y-value of 5.

The point (0, 5) has an x-value of 0 and a y-value of 5.

The point (-2, 0) has an x-value of -2 and a y-value of 0.

The point (6, -4) has an x-value of 6 and a y-value of -4.

The point (-6, -9) has an x-value of -6 and a y-value of -9.

The point (4, 4) has an x-value of 4 and a y-value of 4.

We can see that each of the x-values has a unique y-value. Therefore, this set of points is a function.

In fact, we can even represent this function using set-builder notation as:

{ (x, y) | x ∈ {-7, 3, 0, -2, 6, -6, 4}, y is the corresponding y-value for x }

or using a mapping notation as:

f = { (-7, 20), (3, 5), (0, 5), (-2, 0), (6, -4), (-6, -9), (4, 4) }

where f(x) is the corresponding y-value for x.

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Answer:

(7,3)

Step-by-step explanation:

Our point is (7, -3)

Across the x-axis, which means the y will change to be opposite, so the answer is

(7,3)

The product of -1 and -3/4 is 3/4, and the quotient of -3/4 divided by 1/-3 is 9/4.

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

Here are some multiplication and division sentences that make the product and quotient of -3/4:

Multiplication:

-1 × (-3/4) = 3/4

In this multiplication sentence, we're multiplying -1 by -3/4. The product of these two values is 3/4. We can also think of this as "negative times negative is positive" - when we multiply two negative numbers, we get a positive result.

Division:

(-3/4) ÷ (1/-3) = 9/4

In this division sentence, we're dividing -3/4 by 1/-3. To divide by a fraction, we can multiply by its reciprocal. So we can rewrite this as (-3/4) × (-3/1), which simplifies it to 9/4.

So, the product of -1 and -3/4 is 3/4, and the quotient of -3/4 divided by 1/-3 is 9/4.

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