Find the solution set for the equation. |9x-5|+3=8

The sum of the measures of the exterior angles of a convex 21-gon is 360°.

Given,

Convex 21- gon

Polygon is a plane figure with a finite number of straight line segments.

Convex polygons are those in which none of their interior angles are greater than 180°.

Now,

The sum of exterior angles of any regular polygon is 360°.

Hence,

The sum of the measures of the exterior angles of a convex 21-gon is 360°.

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The height of the trapezoid is approximately 13.043 mm.

To find the height of a trapezoid, you can use the formula:

Area = 1/2 * (base1 + base2) * height

Given:

Area = 150 square millimeters

base1 = 7 mm , w

base2 = 16 mm

150 = 1/2 * (7 + 16) * height

150 =1/2 * 23 * height

Make height the subject of the formula

300 = 23 * height

height = 300 / 23

height = 13.043 mm (rounded to three decimal places)

Therefore, the height of the trapezoid is approximately 13.043 mm.

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Answer:

{0.0853,0.1531}

Step-by-step explanation:

[tex]\displaystyle CI=\hat{p}\pm z\sqrt{\frac{\hat{p}\bigr(1-\hat{p}\bigr)}{n}}[/tex]

[tex]\displaystyle CI_{98\%}=\frac{59}{495}\pm2.326\sqrt{\frac{\frac{59}{495}\bigr(1-\frac{59}{495}\bigr)}{495}}\approx\{0.0853,0.1531\}[/tex]

Answer: 37km

Step-by-step explanation:

Answer: 4th one is the correct one

Step-by-step explanation:

Answer:

Step-by-step explanation:

x²-5x+29=8x-6

x²-13x+35=0

[tex]x=\frac{13 \pm\sqrt{(-13)^2-4(1)(35)} }{2(1)} \\x=\frac{13 \pm\sqrt{169-140} }{2} \\x=\frac{13 \pm\sqrt{29} }{2}[/tex]

None of the given expressions (1), (2), (3), or (4) correctly calculates the area of the isosceles triangle. The correct expression is (1/2) * 14 * (7 * tan(44°)).

To calculate the area of an isosceles triangle, we need the base length and the height of the triangle. In this case, the base length is given as 14 inches, but the height is not provided.

However, we can use trigonometry to find the height of the triangle by using one of the base angles. Since the triangle is isosceles and the base angles are each 68°, we know that the remaining angle (at the top of the triangle) is 180° - 68° - 68° = 44°.

We can then use the trigonometric function tangent (tan) to find the height. The formula is: tan(angle) = opposite/adjacent.

tan(44°) = height/7, where 7 represents half of the base length.

Rearranging the equation, we have: height = 7 * tan(44°).

Now, we can calculate the area of the triangle using the formula: area = (1/2) * base * height.

Substituting the given values, we get:area = (1/2) * 14 * (7 * tan(44°)).

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The period of the function is given as follows:

C) 4.

A periodic function is a function that has the behavior repeating in intervals over the domain.

Then the period of the function is defined as the difference between two points in which the function has the same behavior.

The function in this problem has the behavior repeating at these following points:

x = 0, x = 4, x = 8, ...

Hence the period is given as follows:

4 - 0 = 8 - 4 = 4.

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Answer:  [tex]\frac{1}{3}[/tex]  (One third)

Step-by-step explanation: There are 3 numbers below 8. So 3 is the denominator as there are 3 different options to choose. There is only 1 six so, it is the numerator.

The solution of expression ∫ (0 to 10) (x + 1) dx is,

⇒ 60

We have to given that,

Expression to solve,

⇒ ∫ (0 to 10) (x + 1) dx

Now, We can simplify as,

⇒ ∫ (0 to 10) (x + 1) dx

⇒ ∫ (0 to 10) (x) dx + ∫ (0 to 10) dx  

⇒ (x² / 2)₀¹⁰ + ((x)¹⁰₀

⇒ 1/2 (10² - 0) + (10 - 0)

⇒ 1/2 × 100 + 10

⇒ 50 + 10

⇒ 60

Therefore, The solution of expression ∫ (0 to 10) (x + 1) dx is,

⇒ 60

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Step-by-step explanation:

3775  +  2890-1395 = total diving meters = 5270 m

Total movement = 3775  + ( 3775 - 1395 )   +  (2890 - 1395 ) = 7650 m

The value of the variable x in the right angle triangle is: 9

Pythagoras Theorem is defined as the way in which we can find the missing length of a right angled triangle.

The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

Pythagoras is in the form of;

a² + b² = c²

The tangent forms a right angle with the circle and as such using Pythagoras theorem, we have:

8 + x = √(15² + 8²)

8 + x = √289

8 + x = 17

x = 17 - 8

x = 9

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his pay per workday will be $127.45.

Thus, the formula for calculating simple interest is J = C i t, where J is interest, C is principal, i is interest rate, and t is time. That is, J represents the amount added to the initial value, the capital is the calculation basis, the interest rate is the percentage applied on the capital and time is the capitalization period.

Knowing that:

The total weekends in a year:

52 * 2 = 104 weekend days.

Total paid vacation days, including holidays that fall on weekends:

10 - 4 = 6 paid vacation days.

Total non-working days:

104 + 6 = 110 non-working days.

Total working days in a year:

365 - 110 = 255 working days.

Pay per workday = Annual salary / Total working days

= $32,500 / 255= $127.45

Therefore, the librarian's pay per workday is approximately $127.45.

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The expression which gives the number of months passed in terms of p is √300 -0.5p

We make t the subject of the formula in the expression

p = 600 - 2t²

subtract 600 from both sides in other to isolate 2t²

p - 600 = 600 - 2t² - 600

p - 600 = -2t²

Rearrange the equation

2t² = 600 - p

Divide both sides by 2 in other to isolate t²

2t²/2 = 600/2 - p/2

t² = 300 - 0.5p

Take the Square root of both sides in other to isolate t

√t² = √300 - 0.5p

t = √300 - 0.5p

Hence, the correct expression which gives the number of months t in terms of price p is t = √300 - 0.5p

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Answer:

-----------------

Given that there are 3 designs, 2 sleeve lengths, and 6 color patterns, we can multiply these values together:

So, there are 36 different shirts available from this company.

There are 36 different types of shirt available for this company.

Given that;

Number of design Company has = 3

Number of color pattern available = 6

Types of shirt (short or long sleeves) = 2

Now, We need to find the number of different types of shirts are available from this company.

Since, the number of different types of shirts can be calculated by multiplying Number of design Company has with Number of color pattern available also multiplying with Types of shirt (short or long sleeves).

Hence, By framing in equation form we get;

the number of different types of shirts is,

⇒ 3 × 6 × 2

⇒ 36

Therefore, We get;

There are 36 different types of shirt available for this company.

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Answer: 0 , 5

Step-by-step explanation:

Imagine a plane taking off, first it drives to gain speed then flies, thats what you can use for coordinates.

X is the driving and Y is the flight.

The X is at 0, and the Y is at 5.

Answer:

The Pythagorean Theorem describes the relationship among the three sides of a right triangle

[tex]a^{2} +b^{2} = c^{2} \\8^2+13^2=c^2=208 \\\sqrt{208}=14.4\\ 14.4 \neq 18[/tex]--> not a right triangle

The pairs of alternate exterior angles in the given figure is Option D) ∠1 and ∠7; ∠2 and ∠8

Alternate exterior angles are a pair of angles formed by a transversal line intersecting two parallel lines and located on opposite sides of the transversal and on the exterior of the parallel lines. In other words, if two parallel lines are intersected by a third line (the transversal), then the pairs of angles on opposite sides of the transversal and outside the parallel lines are alternate exterior angles. These angles are congruent to each other.

In the given figure two parallel lines, which are crossed by a transversal line which forms angles.

Now according to the given figure

so, answer is Option D) ∠1 and ∠7; ∠2 and ∠8

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In accounting, the accounting equation is a fundamental principle that describes the relationship between a company's assets, liabilities, and equity. This equation is represented as Assets = Liabilities + Equity. Every financial transaction that a company undertakes has an impact on at least two of the components of the accounting equation.

Transaction Analysis:

a. The company completed consulting work for a client and immediately collected $5,600 cash earned.

This transaction increases both cash and revenue. There is no impact on liabilities or equity.

Accounts Affected:

Cash: +$5,600

Revenue: +$5,600

b. The company completed commission work for a client and sent a bill for $4,100 to be received within 30 days.

This transaction does not impact any account initially. Revenue will increase when payment is received.

Accounts Affected:

Accounts Receivable: +$4,100

Revenue: +$0

c. The company paid an assistant $1,450 cash as wages for the period.

This transaction decreases cash and increases expenses. There is no impact on liabilities or equity.

Accounts Affected:

Cash: -$1,450

Expenses: +$1,450

d. The company collected $2,050 cash as a partial payment for the amount owed by the client in transaction b.

This transaction increases cash and decreases accounts receivable. There is no impact on liabilities or equity.

Accounts Affected:

Cash: +$2,050

Accounts Receivable: -$2,050

e. The company paid $720 cash for this period's cleaning services.

This transaction decreases cash and increases expenses. There is no impact on liabilities or equity.

Accounts Affected:

Cash: -$720

Expenses: +$720

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Complete Question

The following transactions were completed by the company

a. The company completed consulting work for a client and immediately collected $5,600 cash earned.

b. The company completed commission work for a client and sent a bill for $4,100 to be received within 30 days.

c. The company paid an assistant $1,450 cash as wages for the period.

d. The company collected $2,050 cash as a partial payment for the amount owed by the client in transaction b

e. The company paid $720 cash for this period's cleaning services  Required: Enter the impact of each transaction on individual items of the accounting equation. (Enter decreases to account balances with a minus sign.)

The expression that is equivalent to the trigonometry ratio (sin²θ + cos²θ)/tan²θ is (a) cot²θ

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

The trigonometry ratio given as

(sin²θ + cos²θ)/tan²θ

In trigonometry,

sin²θ + cos²θ = 1

So, we have the following representation

(sin²θ + cos²θ)/tan²θ = 1/tan²θ

Evaluate the quotient

(sin²θ + cos²θ)/tan²θ = cot²θ

Hence, the expression that is equivalent to the trigonometry ratio is (a) cot²θ

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Answer:

is every whole number a natural number

Answer:

The sample space of possible combinations of pants and shoes for the math teacher is 9. These combinations include gray pants with black, brown, or tan shoes, green pants with black, brown, or tan shoes, and blue pants with black, brown, or tan shoes.

Hope its helpful

Domain: {15, 17, 19, 21, 23}

The domain describes the x-values within a function.

Inputs

In a function, the inputs are the values that are plugged into a function, and the outputs are the resulting values. This means that the inputs represent the x-values and the outputs are the y-values. Since this is a function, each of the inputs has one output. So, each input is unique. We can use the input values to find the domain.

Domain

The domain of a data set is the x-values. Each x-value is one part of the domain. The domain is written as a list of values in numerical order with braces surrounding the values. Since the inputs represent the x-values, we can use the input values as the domain values. This means that the domain of the data is {15, 17, 19, 21, 23}.

1. The equation to be formed is 40 + 5x + 90 = 180

2. The value of x is 10

A straight line's total angles are always 180 degrees. Around the place where two lines join, they create four angles. The total of the angles on either side of a straight line, if those lines are straight and form one, is always 180 degrees.

We know that;

40 + 5x + 90 = 180 (Sum of angles on a straight line)

130 + 5x = 180

5x = 180 - 130

x = 50/5

x = 10

Thus the value of x is given as 10

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The image triangle △A'B'C' is formed by reflecting triangle ABC across the origin, resulting in each point's coordinates being negated.

The preimage triangle ABC undergoes a reflection across the x-axis followed by a reflection across the y-axis.

To determine the image triangle △A'B'C', we need to understand the effects of these transformations.

Reflection across the x-axis flips the points of the preimage vertically, while reflection across the y-axis flips the points horizontally.

When both reflections are applied successively, the resulting image will be a reflection across the origin (0,0).

Given that, the image triangle △A'B'C' will be the reflection of triangle ABC across the origin.

In this case, the x-coordinate and y-coordinate of each point in triangle ABC will be negated to obtain the corresponding point in △A'B'C'.

Let's consider the points of triangle ABC:

A(x₁, y₁), B(x₂, y₂), C(x₃, y₃)

To obtain the corresponding points in △A'B'C', we negate the x and y coordinates:

A'(-x₁, -y₁), B'(-x₂, -y₂), C'(-x₃, -y₃)

Therefore, the image triangle △A'B'C' is formed by reflecting triangle ABC across the origin, resulting in each point's coordinates being negated.

Note: It's important to note that without the actual coordinates of triangle ABC, it's not possible to determine the specific shape or size of the image triangle △A'B'C'.

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sorry i was going to show work but my water spill on the paper. so answer is 556.05cm^2

Answer:

It is true that in algebra minus symbol represent two things

Step-by-step explanation:

And it is true that it depend on where it placed such as

8-2 this minus indicate the substraction of two terms

-3 this show that the number has negative quantity

Answer:

[tex]\sqrt{9}[/tex] is rational and [tex]\sqrt{10}[/tex] is irrational

Step-by-step explanation:

The square root of 9 is 3 and the square root of 10 is a decimal that never stops.

The square root of 9 (√9) is rational because it results in an integer, which can be expressed as a fraction (3/1). However, the square root of 10 (√10), yields an approximate decimal that cannot be precisely expressed as a fraction, hence is an irrational number. Thus the statement √9 is rational and √10 is irrational is true.

In Mathematics, a rational number is a number that can be expressed as a fraction where the numerator and denominator are integers and the denominator is not zero. Irrational numbers are numbers that cannot be expressed as fractions.

The square root of 9 is √9, which equals 3. This can be expressed as a fraction (3/1), so √9 is rational.

However, the square root of 10 is √10, which equals to approximately 3.16227766017. This cannot be accurately expressed as a fraction, so √10 is irrational.

Therefore, the true statement among the options provided is: √9 is rational and √10 is irrational.

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answer: 5'6"

step by step: 1'5"+2"=1'7"+1'3"=3'0"+1'2"=4'2"+1'4"=5'6"