Geometry find length of third side

A popular way for people to share information and thoughts with others online is through blogging.

A blog is a conversation or informational website published on the World Wide Web that is composed of discrete, frequently informal diary-style text posts, according to the definition of a blog provided by Wikipedia.

This has given rise to a brand-new trend where everyone may now voice their opinions on a given subject.

Other phenomena and artefacts, such as analogue signals, poetry, photographs, music, or other sounds, as well as electrical currents, transmit information in a more continuous manner than do digital signals and other data, which employ discrete signs or algebras to do so.

Information itself is not knowledge, but how it is interpreted is crucial. Raw information can also take the shape of structured data. A collection of data may contain information that may be extracted through analysis by analysts who are experts in their field.

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Answer:

x > 2

Step-by-step explanation:

Solutions to the given inequality are numbers 4 and 5. Thus, the answer is (e) and (f).

To find the solution, first, we solve the inequality for x:

2x - 1 > x + 2

2x - x > 2 + 1

x > 3

Hence, the answer is any number that is greater than 3.

Therefore, the solutions are numbers 4 and 5.

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The complete question is:

Which numbers are solutions to the inequality 2x - 1 > x + 2? Check all of the boxes that apply.

(a) 0

(b) 1

(c) 2

(d) 3

(e) 4

(f) 5

Answer:

0=0

Step-by-step explanation:

6(4x+3y)=6(-2)

3(8x+6y)=3(-4)

24x+18y=-12

24x+18y=-12

0=0

This lesson's goal is to get pupils writing equations to create sequences given tables or visual patterns.

Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four primary categories of distinct sequences you need to be familiar with. A sequence is an ordered list of components that follows a predetermined pattern.

As an illustration, the sequence 3, 7, 11, 15,... is one because it follows a pattern where each term is created by adding 4 to the word before it. Simple to complicated, prerequisite learning, whole to portion, and chronology are the sequencing concepts outlined by Print (1993 as quoted in Edith Cowan University, 2001) for content.

The acceptance of these four guidelines as the standards for content sequencing has increased. I consume 1 cookie the first time, then 1/2 the second. I'll eat half of the previous serving every time after that.

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The value of n when y m is the area of a square of length x m, is  2

The value of n when y cm is the  volume of a cube of length x cm, is 3

For area of square, the formula is given by

= length *  length

assuming the length is equal to x

= x * x

= x²

comparing with given formula shows that n = 2

For volume of a cube of length x cm, the formula is given by

= length *  length * length

= x * x * x

= x³

comparing with given formula shows that n = 3

complete question

It is given that y is directly proportional to x".

Write down the value of n when

(i) y m? is the area of a square of length x m,

(ii) y cm is the volume of a cube of length x cm.

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Answer:

x=1

Step-by-step explanation:

x+3=4x

x-4x+3=0

-3x=-3

x= -3/-3

x=1

Answer:  

X = 1

Hope this helps!!

1a) The number of pictures per second taken by the first camera is 7.

1b) The number of pictures per second taken by the second camera is 6.

1c) The number of pictures per second taken by the third camera is 5.

2) The camera that takes pictures the fastest is the First Camera.

The rate of speed is the quotient of the total number of pictures taken per camera and the time used.

Using division operation, the number of pictures is divided by the time to determine the speed of each camera per second.

                                        First        Second        Third

                                     Camera     Camera     Camera

Number of pictures         49             24               25

Time (seconds)                  7               4                 5

Pictures per second         7 (49/7)      6 (24/4)     5 (25/5)

Thus, we can conclude that the First Camera is the fastest since it takes 7 pictures per second unlike the second and third cameras.

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The amount paid by Evenly will be $3.96.

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

Since each apple got 1.32 per pound. When Evenly bought 3 pounds. The amount paid will be:

= 1.32 × 3

= $3.96

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The polygons, regarding congruence and similarity, are classified as follows:

a. Similar polygons.

b. Congruent polygons.

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

If the transformation is a dilation, the triangles are similar, otherwise the triangles are congruent, as the dilation is the only transformation that changes the side lengths.

For item a, we have that the coordinates of WXYZ are multiples of QRST, meaning that a dilation with a scale factor of k = 3 was part of the transformation, hence the polygons are similar.

For item b, the only change was in the position, hence the side lengths are constant and thus the triangles are congruent.

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The value of the difference of the value of functions at x = 4 and -5 can be obtained as -39.

A function y = f(x) can be defined as a one to one relation between sets X and Y. The set X is called the domain and Y is called the range of the function.

The given functions are f(x) = 3/2x + 2 and g(x) = 2x² - 3

Then, the value of given functions at x = 4 and -5 can be calculated as,

f(4) = 3/2 × 4 + 2 = 8.

And, g(-5) = 2 × -5² - 3 = 47

Thus, the value of f(4) - g(-5) can be calculated as,

⇒ f(4) - g(-5) = 8 - 47 = -39

Hence, the required value can be obtained as -39.

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Percy will have an amount of $730 in her account.

Interest is the price you pay to borrow money or the cost you charge to lend money.

Given that, Percy puts $600.00 into an account to use for school expenses. The account earns 4% interest, compounded annually, for 5 years,

Formula for CI =

[tex]A = P(1+r)^{t}[/tex]

Where, A = amount

P = principal

r = rate

t = time

Therefore,

A = 600(1+0.04)⁵

A = 600(1.04)⁵

A = 600 × 1.2166529

A = 729.99 ≈ 730

Hence, he will have $730 in her account after 5 years.

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The percentage of the change is 70% decrease

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

Initial value = 5/4

Final value = 3/8

3/8 is less than 5/4

This means that the percentage is a decrease

We have

Initial value = 5/4

Final value = 3/8

The percentage change is then calculated as

Percentage change = (Final value - Initial value)/Initial value * 100%

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

Percentage change = (3/8 - 5/4)/(5/4) * 100%

Evaluate

Percentage change = -70%

Hence, the percentage change is 70% decrease

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The sine function that models the depth of the tide in this problem is given as follows:

y = 4sin(π/6(x - 0.71)) + 13.

The general format for the sine function in this problem is given as follows:

y = A sin(Bx - C) + D.

In which the parameters of the function are given as follows:

The depth is 5 feet at low tide and 13 feet at high tide, hence the amplitude is calculated as follows:

2A = 13 - 5

2A = 8

A = 8/2

A = 4.

A sine function, with no vertical shift and amplitude of 4, would oscillate between -4 and 4, while this function oscillates between 5 and 13, hence the vertical shift is given as follows:

D = 13.

On a certain day, low tide occurs at 4 a.m. and high tide at 10 a.m, which  means that half the period is of 6 hours, hence the period is of 12 hours and the coefficient B is calculated as follows:

2π/B = 12

B = π/6.

Without phase shift, the low tide would happen at x = 3π/2 a.m. = 4.71 a.m., while it happens at 4 a.m., hence the phase shift is given as follows:

c = 4.71 - 4 = 0.71.

Hence the function is defined as follows:

y = 4sin(π/6(x - 0.71)) + 13.

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Answer:

C is the corect answer

Step-by-step explanation:

12x+3=39

12x=39-3

12x=36

x=36:12

x=3

12×3=36

36+3=39

The slope-intercept form of the equation is y = - mx + b.

The equation of a line can be expressed in a variety of ways. Although they may differ in appearance, all of them describe the same line because multiple equations can describe the same line. However, all linear equations describing the same line are equivalent.

The formula y = mx + b can be used to represent any straight line. Any straight line equation, known as a linear equation, can be expressed as y = mx + b, where m denotes the line's slope and b its y-intercept. The value of y at the line's intersection with the y-axis is its y-intercept.

Given a graph of the equation, choose two points on the line and use them to calculate the slope in order to put the equation in slope-intercept form. This is the answer to the equation's question. Next, determine the y-coordinates, intercept's which should be of the type (0,b). The value in the equation is the y-coordinate.

Thus, the equation derived from the graph is as follows:

Since we are aware that the slope here is negative,

Therefore Our formula is y = -mx + b.

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The values of exponent 5, √15, 2 and ∛2.

There are various exponential laws. Numerous mathematical problems involving repeated multiplication operations can be solved using all of the exponent rules. The operations of multiplication and division are made simpler and easier to solve by the laws of exponents.

Given,

The important laws of exponents are given below:

xᵃ ₓ xᵇ = x ᵃ⁺ ᵇ

xᵃ/xᵇ = x ᵃ⁻ ᵇ

(xᵃ)ᵇ = x ᵃᵇ

a⁻ⁿ = 1/aⁿ

a⁽¹/ⁿ⁾ = [tex]\sqrt[n]{a}[/tex]

1: [tex]25^{\frac{1}{2} }[/tex]

25 = 5 x 5 = 5²

[tex]( 5^{2}) ^{\frac{1}{2} }[/tex] = 5 using formula (xᵃ)ᵇ = x ᵃᵇ

2: [tex]15^{\frac{1}{2} }[/tex]

= [tex]\sqrt{15}[/tex] using a⁽¹/ⁿ⁾ = [tex]\sqrt[n]{a}[/tex]

3: [tex]8^{\frac{1}{3} }[/tex]

8 = 2 x 2 x2 = 2³

[tex]( 2^{3}) ^{\frac{1}{3} }[/tex] =  2 using formula (xᵃ)ᵇ = x ᵃᵇ

4: [tex]2^{\frac{1}{3} }[/tex]

= ∛2 using a⁽¹/ⁿ⁾ = [tex]\sqrt[n]{a}[/tex].

Hence values are 5, √15, 2 and ∛2.

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Answer:

120960

Multiply the numbers together, Hope this helps :)

Answer:

120,960

Step-by-step explanation:

Answer:

c. [tex]1/216[/tex]

Step-by-step explanation:

The probability of rolling a one is 1/6.

Using the multiplication principle, the desired probability is [tex](1/6)^3=1/216[/tex].

Answer:

The equation tan−1(8.9/7.7) = x can be used to find the measure of angle LKJ.

Step-by-step explanation:

bc i know lol :) pls like tytytyty

The equation y = x / 7 + 74 / 7 is the line that passes through points (- 4, 10) and (3, 11).

In this question we must derive the equation of the line that passes through two points: (x₁, y₁) = (- 4, 10), (x₂, y₂) = (3, 11). Algebraically speaking, lines are described by equations of the form:

y = m · x + b

Where:

And the slope of the line can be calculated by secant line formula:

m = Δy / Δx

Where:

First, determine the slope of the line:

m = (11 - 10) / [3 - (- 4)]

m = 1 / 7

Second, determine the intercept of the line:

b = y - m · x

b = 11 - (1 / 7) · 3

b = 11 - 3 / 7

b = 74 / 7

Third, write the equation of the line:

y = x / 7 + 74 / 7

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Answer:

C

Step-by-step explanation:

The answer is 390

c). The entities on which data are collected are called elements.

Data collection is a process of gathering information from different sources which is later used for analysis and interpretation. Data is usually collected from elements, which are individual units like people, organizations, or any other physical or virtual entity.

Each element has a set of characteristics or attributes which are collected to form the data. For example, if data is being collected from people, the attributes would include age, gender, occupation, income, etc. This data is then collected and stored in some form that can be used for further analysis.

Data can also be collected from populations, which are a collection of elements or a group of elements with certain features in common. In this case, the data collected is the average of all the elements in the population, rather than data from individual elements.

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Answer:

so the length of square b is 50%.

Shaded portion gives the solution set of following in inequality.

What is inequality?

An inequality in mathematics is a relationship that allows us to contrast two (or more) mathematical expressions.

A difference between two values indicates whether one is more than, less than, or not equal to the other.

For example  The strict inequalities like

a > b - “greater than”,

a < b - “less than”.

They are called Strict inequalities, since in each case a and b are not equal.

Here y ≤ [tex]x^2-3[/tex]

for the point (0, 0)

⇒ 0 ≤ 0 - 3

⇒ 0 ≤ -3

which is false thus region is opposite to origin

For y > [tex]x^2+2[/tex]

⇒ 0 > [tex]0^2+2[/tex]

⇒ 0 > 2

which is false thus the region is opposite to origin

Thus shaded portion is solution to given inequality

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The side length of each square piece of fabric is 0.343 feet

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

Square quilt

The readings from the quilt are given as

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

Number of squares * Area of Individual shapes = Area of quilt

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

64 * Area of Individual shapes = seven and fifty-two hundredths feet

Rewrite as

64 * Area of Individual shapes = 7.52

Divide both sides by 64

Area of Individual shapes = 0.1175

Take the square roots

Length of square = 0.343

Hence, the length is 0.343 feet

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Chris has to pay $8.5 for all the fruit.

given:

Oranges are 2 pounds for $1.00. Apples are $2.00 per pound. Chris

bought 5 pounds of oranges and 3 pounds of apples.

       total apple purchase by Chris = 3 pounds

        the total cost of apples (3 * $2 )= $6

         total cost for 5 pounds of orange will be $2.5

   the total cost of fruits is the cost of apples plus the cost of orange

             = ($6+$2.5)= $8.5

therefore, the total amount to be paid by Chris is $8.5

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We can simplify the inequality |x + 3| > 2 to get the compound inequality:

-1 < x

-5 > x

Thus, the correct option is B.

Here we have the following inequality:

|x + 3| > 2

The absolute value part can be "separated" into a compound inequality, we can rewrite this as:

|x + 3| > 2

-2 > x + 3

2 < x  + 3

Now we can solve these two inequalities for x, we will get:

-2 > x + 3

-2 - 3 > x

-5 > x

The second inequality gives:

2 < x + 3

x - 3 < x

-1 < x

Then the compound inequality is:

-1 < x

-5 > x

Then the correct graph is the one in option B.

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