What is the ratio of all 30 60 90 triangles?.

A z-score can be calculated using the formula z = (x-)/, where x is the raw score, the mean of the population, and the standard deviation of the population.

The z-score is simply the raw score minus the mean of the population divided by the standard deviation of the population, as the formula demonstrates.

Typically, z-scores, or standardized scores, are calculated by dividing the mean of all data points by the standard deviation of all data points, then subtracting the mean from each individual data point. Again, using scale(), this can be done in one call.

Press EDIT after pressing Stat. Press Enter after highlighting L2 and entering the formula (L1-10) / 5.558. In column L2, the z-score for each individual value will be displayed automatically: Note: Press 2 and then 1 to enter "L1" into the formula.

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Answer:

x = 77°

Step-by-step explanation:

When an angle has its vertex on a circle, the arc that gets cut by sides is double the angle.

So arcDF is double angleEFD.

angleEFD = 74°

arcDF = 148°

arcFH is double angleD.

angleD = 29°

arcFH = 58°

All the arcs of the circle all add up to 360°

arcDF + arcFH + arcDH = 360°

148° + 58° + arcDH = 360°

206 + arcDH = 360°

subtract 206

arcDH = 154°

Again, the arc is double the angle, or the angle is half the arc.

arcDH = 154°

angleDFH = 77°

x = 77°

see image.

Alex paid 64.48

price of sweatshirt which alex bought  :  59.99

sales tax                                                   :  4.499

total price alex paid is                               64.48

calculation of salex tax

price of sweatshirt              :59.99.

sales tax                               :4.499          

{59.99 x 7.5% } = 4.49

Alex paid 64.48  

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a) To find the company's revenue and costs if it sells 2000 shirts, we can substitute 2000 for x in the given revenue and cost functions:

What does a math equation mean?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Revenue: r(x) = 10x, so r(2000) = 10(2000) = $20,000

Costs: c(x) = 3x + 9000, so c(2000) = 3(2000) + 9000 = $15,000

b) The profit function, p(x), is the difference between the revenue function and the cost function. So, the profit function for this company is:

p(x) = r(x) - c(x) = 10x - (3x + 9000) = 7x - 9000

c) To find the company's profit in 2012, when it sold 5000 shirts, we substitute 5000 for x in the profit function:

p(5000) = 7(5000) - 9000 = $20,000

So, the company had a profit of $20,000 in 2012 when it sold 5000 shirts.

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According to the given information in the question the average rate of change is 3.

Examples of average rates of change include: 80 kilometres per hour is the average speed of a bus. At a pace of 100 each week, a lake's fish population grows. For every 1 volt drop in voltage, the current in an electrical circuit reduces by 0.2 amps.

The average rate at which one item is changing in relation to another is known as the average rate of change. An average rate of change function, put simply, is a calculation that divides the amount of change in one thing by the corresponding amount of change in another.

The formula R = D/T, or rate of change equals the distance travelled, can be used to address rate of change problems in general.

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The parabola has an axis of symmetry at x= -1.

Step-by-step explanation:

Answer: 5/3

Step-by-step explanation:

1 2/3 ÷ 3/4

= 5/4 ÷ 3/4

= 5/4 * 4/3

= 5/3  3/4 cups

Answer:

22 miles

Step-by-step explanation:

trust

The value of x from the given figure is 12 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure,

Consider ΔDEF and ΔEGF,

∠F=∠F (Reflex property)

EF=EF (Reflex property)

∠DEF=∠EGF=90°

By AA similarity, ΔDEF ~ ΔEGF

So, DF/EF = EF/GF

12/x = x/2

x²=12×2

x=2√6 units

Therefore, the value of x from the given figure is 2√6 units.

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The value of the expression is -10.5 .

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.

Here the given expression is ,

a-2-b+(4.7-d)-c

Now put a=-5, b=7 , c=-2 and d=3.2 then

=> -5-2-7+(4.7-3.2)-(-2)

=> -14+(1.5)+2

=> -14+3.5

=> -10.5

Hence the value of the expression is -10.5 .

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The length of the diagonal KM is 8√(2) inches.

The area of a square is given by the formula: area = side^2.

So, if the area of square JKLM is 64 square inches, then we know that:

64 = side^2

To find the diagonal KM, we can use the Pythagorean Theorem. The diagonal KM is the hypotenuse of a right triangle where the legs are the side of the square.

So the formula is KM = √(side^2 + side^2)

Substituting in the known area of the square, we have:

KM = √(64 + 64)

KM = √(128)

KM = 8√(2)

Therefore, the length of the diagonal KM is 8√(2) inches.

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KM = √(side^2 + side^2)

Substituting in the known area of the square, we have:

KM = √(64 + 64)

KM = √(128)

KM = 8√(2)

Answer:

1- Reflection about the x-axis: The equation for this transformation would be: f(x) = -(-5^x + 10) = 5^x - 10. This flips the graph of the original function over the x-axis.

2- Reflection about the y axis: The equation for this transformation would be: f(x) = -(5^x + 10) = -5^x -10. This flips the graph of the original function over the y-axis.

3- Vertical shift upwards by 10: The equation for this transformation would be: f(x) = 5^x +10 + 10 = 5^x + 20. This shifts the graph of the original function upward by 10 units on the y-axis.

4- Vertical shift downward by 10: The equation for this transformation would be: f(x) = 5^x + 10 - 10 = 5^x. This shifts the graph of the original function downward by 10 units on the y-axis.

5- Horizontal shift to the right by 10: The equation for this transformation would be: f(x) = 5^(x-10) + 10. This shifts the graph of the original function to the right by 10 units on the x-axis.

Answer:1- Reflection about the x-axis: The equation for this transformation would be: f(x) = -(-5^x + 10) = 5^x - 10. This flips the graph of the original function over the x-axis.

2- Reflection about the y axis: The equation for this transformation would be: f(x) = -(5^x + 10) = -5^x -10. This flips the graph of the original function over the y-axis.

3- Vertical shift upwards by 10: The equation for this transformation would be: f(x) = 5^x +10 + 10 = 5^x + 20. This shifts the graph of the original function upward by 10 units on the y-axis.

4- Vertical shift downward by 10: The equation for this transformation would be: f(x) = 5^x + 10 - 10 = 5^x. This shifts the graph of the original function downward by 10 units on the y-axis.

5- Horizontal shift to the right by 10: The equation for this transformation would be: f(x) = 5^(x-10) + 10. This shifts the graph of the original function to the right by 10 units on the x-axis.

Step-by-step explanation:

The new dimensions are height is 6 inches and length is 14 inches.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, scale factor = 2/5, 15 inches high and 35 inches length.

Here, height is

2/5 = New height/15

New dimension =30/5

= 6 inches

Length of a shape is

2/5 =New length/35

= 70/5

= 14 inches

Therefore, the new dimensions are height is 6 inches and length is 14 inches.

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When given a quadratic function and a line, the points of intersection can be found by solving for x using the Quadratic Formula.

The Quadratic Formula states that:

x² + ax+ b = 0

where the constants are a, b, and c. We utilise this equation to solve for x in order to determine the places of intersection. In order to accomplish this, we must be aware of both the line's slope and the quadratic function's y-intercept.

The slope of the line can be found by dividing the y-intercept by the distance between the points of intersection (x1 and x2), and then multiplying that number by the slope of the line (y/x).

The y-intercept can be found by simply plugging in x1 into the equation above. Once we have these two pieces of information, we can solve for x using algebraic equations.

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Answer:

$9.60

Step-by-step explanation:

This is a tricky question because it uses different units.

Let's first convert everything to one unit to make things simpler

1 cup = 16 tablespoons

1/2 cup = 8 tablespoons

Each lemon yields 2 tablespoons of juice

Each lemon pie requires 1/2 cup of juice = 8 tablespoons of juice

4 lemon pies will require 4 x  8 = 32 tablespoons of juice

To get 32 tablespoons at 2 tablespoons per lemon we will require 32/2 = 16 lemons

16 lemons at $0.60 per lemon will cost 16 x 0.60 = $9.60 ANS

No, rectangle DABC is not the result of a dilation of rectangle HEFG with a center of dilation at the origin.

Dilation is a geometrical transformation that changes the size of a shape or figure. It is one of the four basic transformations of geometry alongside translation, rotation, and reflection. Dilation involves resizing a shape by a scale factor and keeping its overall shape intact. The scale factor is the ratio of the size of the image to the size of the original figure.

Dilation involves a scaling of a shape, where each point on the shape is moved away from or closer to the center of dilation, proportional to its distance from the center. In this case, the angles of rectangle DABC are different from the angles of rectangle HEFG, so it is not the result of a dilation. The angles of rectangle HEFG are ∠2, ∠33, ∠EDC, whereas the angles of rectangle DABC are ∠ADB, ∠BDC, and ∠CDB.

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Q.7 ...

[tex]tsa \: of \: cuboid \: = 2(lb + bh + lh) \\ = 2(4 \times 3 + 3 \times 5 + 5 \times 4) \\ = 2(12 + 15 + 20) \\ = 2(47) \\ = 94 \: square \: units \: ...[/tex]

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Answer: I CANR

Step-by-step explanation:

Answer:

Answer in attached photo.

Step-by-step explanation:

The solution is in the attached photo, do take note we will use x,y and z to be the 3 consecutive natural numbers. Do also note in this case, since the three numbers are consecutive, they have a difference of 1 between each other.

The given expression is expressed in an algebraic expression as:  3x^2 - 7 and the value of the number is √7/3

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

In mathematics, when we express "square" we mean an exponent equal to two. So the expression “the square of a number ” is represented by:

x^2

When we express “three times” we mean a multiplication by three. So the expression "three time the square of a number"  is represented by:

3x^2

When we express “sum” we mean an addition. So the expression "the um of three time the square of a number and -7"  is represented by:

3x^2 + ( - 7)

The complete expression "the um of three time the square of a number and -7" in an algebraic expression represented by: 3x^2 - 7 = 0

Finding the value of the constant we get:

3x^2 - 7 = 0

3x^2 = 7

x^2 = 7/3

x = √(7/3)

x = 1.53

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Correctly written question:

Write an expression to represent the sum of three time the square of a number and -7. In your expression, what is the value of the constant?

The answer  for algebraic expression is Option B 3(-3)

A mathematical expression made up of variables, coefficients, constants, and operations like addition, subtraction, multiplication, and division is called an algebraic expression. In general, something is considered equal if two of them are the same. Similar to this, analogous expressions in mathematics are those that hold true even when they appear to be different. However, both forms provide the same outcome when the values are entered into the formula.

Given

9-12+(-2)+3(-3)

Subtract: 9 - 12 = -3

Add: the result of step No. 1 + (-2) = -3 + (-2) = -5

Multiple: 3 * (-3) = -9

Add: the result of step No. 2 + the result of step No. 3 = -5 + (-9) = -14

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Data is displayed in two dimensions using log-log graphs, where both axes have logarithmic scales.

A straight line is depicted on a log-log graph when one variable varies as a constant power of the other. We can determine that X and Y do not have a power law connection if the data points do not form a straight line.

The linear function is equivalently written as log Y = log k + n log X. The statement by John Tukey that "the best thing about being a statistician is that you get to play in everyone's backyard" is amply illustrated by this example.

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The ordered pair that describes the location of M'' will be (5, -1).

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The reflection does not change the shape and size of the geometry. But flipped the image.

Point M is located at (−5, 1) on the coordinate plane. The coordinate after the reflection over the y-axis is given as,

M' = (-x, y)

M' = (- (-5), 1)

M' = (5, 1)

The coordinate after the reflection over the x-axis is given as,

M" = (x, -y)

M" = (5, -1)

The ordered pair that describes the location of M'' will be (5, -1).

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Answer: 8/17

Step-by-step explanation:

sinA = opp.side/hypotenuse

 = BC/AB

 = 8/1

The population in 48 year becomes 580,000.

what is Doubling ?

Doubling or Double numbers or doubles simply represent twice the given amount or number.

To double means to add an amount equal to what you already have. An example: If you have one bottle of coke, and you get one more bottle, you have two bottles of coke. Two is the double of one, because, which means you have doubled the amount of coke you had.

As given, if the current population is = 145,000

and after 24 year, it will double its size = 145,000×2 = 290,000

and then in the next 24 years i.e. (48 years later) = 290,000×2 = 580,000

Therefore, the population in 48 year becomes 580,000.

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A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question.

The side opposite the right angle is always the hypotenuse of a right triangle. In a right triangle, it is the longest side. The opposing and neighboring sides are the other two sides. The labels on these sides relate to an angle.

One side is opposite the other at a specific angle. The non-hypotenuse side that lies next to a particular angle is known as the neighboring side. The terms hypotenuse, opposite, and adjacent are used to define the trigonometric functions sine, cosine, and tangent.

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Answer: 6 Goats and 5 Ducks

Hope this helps :)

Step-by-step explanation:

6 goats (4 legs) = 24 legs

5 ducks (2 legs) = 10 legs

6 * 4 = 24

5 * 2 = 10

24 + 10 = 34

6 + 5 = 11

Answer:

6 goats and 5 ducks

Step-by-step explanation:

Given: g+d=11

Goats have 4 legs. Ducks have 2 legs. For total of 34 legs.

Use the word problem to create equation: 4g+2d=34

We can solve for either, we'll solve for g(goat) first:

4g+2d=34

2d=34-4g

d=17-2g

Plug what we found for d into other equation:

g+d=11

g+(17-2g)=11

-g+17=11

-g=-6

g=6

Plug what we found for g into equation to solve for d(duck):

g+d=11

6+d=11

d=5

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Answer:

y = 8

Step-by-step explanation:

The angle represented by (8x - 31)° = angle represented by (6x + 3)° since they are alternate interior angles

8x - 31 = 6x + 3

=> 8x-6x = 3 + 31

2x = 34

x = 17

Angles (8x - 31) and (5y + 35) are adjacent linear angles - they lie on the same straight line. their sum must equal 180

8x - 31 + 5y + 35 = 180

Plugging x = 17

8(17) -31 + 5y + 35 = 180

5y + 140 = 180

5y = 180 - 10 = 40

y = 40/5 = 8

The value of the additional data point is equal to 12.0

In Mathematics, a sample mean is sometimes referred to as an arithmetic average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the sample mean for this set of data points can be calculated by using the following formula:

Mean = [F(x)]/n

Note: Let the variable x represent the additional data point.

For the total data points, we have;

F(x) = 21 + 24 + 19 + 36 + 52 + 15 + 40 + 47 + 19 + 20 + 30 + x

F(x) = 323 + x.

Now, we can determine the additional data point as follows;

27.917 = 323 + x/12

323 + x = 335.004

x = 335.004 - 323

x = 12.004 ≈ 12.0

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Answer:

use the graph

Step-by-step explanation:

Answer:

390,000

Step-by-step explanation: