Which type of triangle is this triangle with length of sides 7 cm 8 cm and 9 cm? (a) Triangle with lengths of sides 7 cm, 8 cm and 9cm. (b) ABC with AB = 8.7 cm, AC = 7 cm and BC = 6cm. (c) PQR such that PQ = QR = PR = 5cm. (d) DEF with D = 90 degrees (e) XYZ with Y = 90 and XY = YZ (f) LMN with L = 30, M = 70 and N = 80.

She knows that even as she leaves, she will surely come back for the ones who are not strong enough to escape on their own, the ones “left behind.”

Esperanza is aware that one day she will leave Mango Street with her books and paper because she is too powerful to be imprisoned there indefinitely. But she is aware that even as she departs, she will undoubtedly return in search of the "left behind," or those who lack the strength to flee on their own.

She introduces the tale by informing the audience that she will tell them a tale about a girl who didn't want to fit in. She reiterates the passage from the first chapter in which she states that she has lived on other streets in addition to Mango Street.

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Substitution is the best method to use when one of the equations in the system is already solved for one variable. This involves substituting the solved equation into the other equations in the system, allowing the variable to be eliminated, and then solving the resulting equation.

Substitution is the best method to use when one of the equations in the system is already solved for one variable. This method involves substituting the solved equation into the other equations in the system, allowing the variable to be eliminated. The resulting equation will have fewer variables, making it easier to solve. Additionally, this method can be used to eliminate variables from equations that cannot be solved directly. For example, if two equations are given that cannot be solved for a common variable, substitution can be used to eliminate the variable from both equations and turn them into equations in one variable. This makes it easier to solve the system of equations.

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We can rewrite the quadratic to get the equivalent expression:

3*(x - 4)*(x + 2/3)

We want to find an expression equivalent to the quadratic equation:

3x^2 -10x -8

Remember that if the quadratic equation has the roots a and b, then we can rewrite the equation as:

3*(x - a)*(x - b)

So let's find the roots, using the quadratic formula we will get:

[tex]x = \frac{10 \pm \sqrt{(-10)^2 - 4*3*(-8)} }{2*3} \\\\x = \frac{10 \pm 14 }{6}[/tex]

So the two roots are:

x = (10 + 14)/6 = 4

x = (10 - 4)/6 = -4/6 = -2/3

Then the equivalent expression is:

3*(x - 4)*(x + 2/3)

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Answer:500 mile per hour

Step-by-step explanation: 4000/8=500

Answer: 500mi/h

Step-by-step explanation: Speed = distance/time.

distance = 4000mi(miles)

Time =8h(hours)

4000mi/8h = 500mi/h

Danny ate 2/5 of the whole pie.

There was 3/4 of the pie left

Danny ate 4/5 of the pie that was left

∴ 3/4 x 4/5 = 3/5

The amount of pie he ate was 3/5 of the leftover pie

The whole pie he ate is,

1 - 3/5 = 2/5.

In math, a fraction is used to represent a quarter. A quarter fraction is defined mathematically as the division of 1 whole into 4 equal parts, where 1 denotes the portion being referred to and 4 specifies the total number of parts.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

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Answer:

your answer will be B (455)

Step-by-step explanation:

ok so first of all gross means (groceries)

second of all let's say he works for a whole week wich is 5 days. 5 days in hours equals about 120 hours. so if you take 120 and multiply it by this number 11.50     ( the amount he is being paid) you will get 1380.

I searched this up just to show you

Weekly wage of $11 per hour is $440 weekly

so now look at 440 it's the closest to 455 and that's how you get ur answer.

B ($455) would be his gross pay.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Jabez worked at Wendy's and earned $11.50 per hour. If he worked a full work week.

so first of all gross means (groceries)

second of all let's say he works for a whole week wich is 5 days.

5 days in hours equals about 120 hours.

so if you take 120 and multiply it by this number 11.50    

( the amount he is being paid)

you will get 1380.

Weekly wage of $11 per hour is $440 weekly

so now look at 440 it's the closest to 455 .

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The addition of the expression; negative 6 minus one sixth times p end quantity plus the quantity two-thirds times p minus 8 is "1 over 2 times p minus 14".

The correct answer choice is option C

-6 - (1/6 × p) + (2/3 × p) - 8

open parenthesis

-6 - 1/6p + 2/3p - 8

-6 - 8 - 1/6p + 2/3p

-14 - p+ 4p/ 6

= -14 + 3p/6

= -14 + 1/2p

It can also be written as;

1/2p - 14

Therefore, the addition of the expression is 1 over 2 times p minus 14.

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Answer:its c

Step-by-step explanation:the answer is c

All real numbers except those that have been specifically excluded by a given condition or set of conditions.

The domain of all real numbers except is any set of real numbers that has been specifically excluded by a given condition or set of conditions. This could include any real number that does not meet the requirements of a given equation, such as any real number that does not satisfy the equation x2+1=0, or any real number that does not fall within a certain range, such as any real number that is not between 1 and 5. The domain of all real numbers except is any set of numbers that has been specifically excluded from the set of all real numbers. This exclusion could be due to a particular condition or set of conditions that must be fulfilled in order for a number to be included in the set.

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The simplified form of the expression 18x² + 4 - [6(x² -2) + 5] is 12x² + 11.

Mathematical statements are called expressions if they have at least two words that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

The given expression is

18x² + 4 - [6(x² -2) + 5]

We can rewrite it as

= 18x² + 4 - [6x² - 12 + 5]

= 18x² + 4 - [6x² - 7]

= 18x² + 4 - 6x² + 7

= 12x² + 11

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The complete question is:

Simplify the expression: 18x² + 4 - [6(x² -2) + 5]

The roots of the equation 2x² 5x 3 0 are the two values of x that make the equation equal to 0. In this case, the two roots are x = -3 and x = 0.5.

To find the solutions roots of 2x² 5x 3 0:

1. Rearrange the equation to make it equal to 0: 2x² 5x - 3 = 0

2. Use the quadratic equation to solve for x: x = (-b ± √(b² - 4ac)) / 2a

3. Substitute the coefficients of the equation: x = (5 ± √(25 - 4(2)(-3))) / 4

4. Simplify the equation: x = (5 ± √49) / 4

5. Calculate the two solution roots: x = -3 and x = 0.5

The solutions roots of 2x² 5x 3 0 can be found by rearranging the equation to make it equal to 0 and then using the quadratic equation to solve for x. The coefficients of the equation (2, 5, and -3) must be substituted into the equation to calculate the two solutions roots. When this is done, the two solutions roots are x = -3 and x = 0.5. This means that if x is equal to either -3 or 0.5, the equation 2x² 5x 3 0 will equal 0.

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The trigonometric function that is shown in graph is f(x)=-1/2 cosx i.e. C.

What are trigonometric functions?

Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant.

The angles of sine, cosine, and tangent are the primary classification of functions of trigonometry. And the three functions which are cotangent, secant and cosecant can be derived from the primary functions.

Now, To find the trigonometric function from the given graph

we can check by putting values in the functions

As at angle zero degree only sine is zero so 2 and 4 are cancelled

and as cosine at angle of zero degree is 1 but with multiplying it with -1/2 it will be negative.

Hence,

Option 3 is the right answer.

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40 outcomes are in n if there is a five-card hand is called a flush if all five cards

Since 2, 3, and 4 are the only ranks that can never be at the top of a series of 5 cards, you have 133=10 ways to choose the ranks.

You can choose from the following 133 rank options for your straight's high card: A, K, Q, J, T, 9, 8, 7, 6, 5. Keep in mind that the A counts as the straight's bottom card.

The suit for the first card in your sequence must likewise be determined using (41)=4, and the remaining cards must all automatically agree or contradict.

Your response is 40.

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If Grants credit card has an APR of 11.28% , and compounding period from monthly to daily , then the effective interest rate charged to grant (c) will increase by about 0.6%  .

The APR of Grant's Credit Card is = 11.28% ;

that means the stated interest rate is 11.28% = 0.1128 ;

we know that the formula to calculate the effective interest rate(r) is

r = [tex](1+\frac{i}{n}) ^{n} -1[/tex] ; where i = stated interest rate ;

Substituting number of days (n) in year = 365 ;

we get the effective rate of interest is [tex]r=(1+\frac{0.1128}{365}) ^{365} -1[/tex] ;

On solving ,

we get ;

r = 0.1193885 ;

So , the change in the effective interest rate is = effective rate - stated rate ;

substituting the values of rates ,

we get ;

= [tex]0.119388521952 - 0.1128[/tex] = [tex]0.006588521952 \approx 0.006[/tex] = 0.6% ;

Therefore , the effective interest rate will increase by about 0.6% .

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Answer: A. associative property of multiplication

Answer:

The point that the two sides meet at the vertext

Step-by-step explanation:

Its just right G

Answer:

x = -3

y = 0

Step-by-step explanation:

4x + y = -12

x − 5y = -3

Times the second equation by -4

4x + y = -12

-4x + 20y = 12

21y = 0

y = 0

Now put 0 back in for y and solve for x

4x + 0 = -12

4x = -12

x = -3

Let's check

4(-3) + 0 = -12

-12 + 0 = -12

-12 = -12

So, x = -3 and y = 0 is the correct answer.

Answer:

(-3,0)

x = -3

y = 0

Step-by-step explanation:

4x + y = -12

x − 5y = -3

Enter the second equation by -4

4x + y = -12

-4x + 20y = 12

21y = 0

y = 0

Now enter 0 for y

4x + 0 = -12

4x = -12

x = -3

Plug that info in

4(-3) + 0 = -12

-12 + 0 = -12

-12 = -12

Therefore x = -3 and y = 0

By understanding the characteristics of an isosceles trapezoid, we can conclude that TQ = 17.4

Trapezoid is a two-dimensional flat shape formed by four sides, two of which are parallel to each other but not the same length. It comes in various forms: arbitrary, right-angled, and isosceles.

Isosceles trapezoid can be characterized as follows:

We are given an isosceles trapezoid with the following information:

ST = 16.1

PR = 33.5

As we know the characteristics of a trapezoid, we can determine:

SQ = PR = 33.5

 SQ = ST + TQ

33.5 = 16.1 + TQ

  TQ = 33.5 - 16.1

        = 17.4

Thus, by understanding the characteristics of an isosceles trapezoid, we can conclude that TQ = 17.4

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The likelihood that the player's average will be.310 or higher during the following 100 at-bats is. 9267

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The likelihood of obtaining at least 31 hits in 100 at-bats when the likelihood of getting a hit in each at-bat is.300 must be taken into account in order to calculate the likelihood that the player's average during the subsequent 100 times at bat will be.310 or higher.

The likelihood of obtaining at least 31 hits in 100 at-bats when the likelihood of a hit occurring in each at-bat is.

You may calculate 300 as follows:

P(31 hits or more in 100 at-bats) = 1 - P(30 hits or fewer in 100 at-bats)

When the likelihood of getting a hit in each at-bat is, we can determine the likelihood of getting at least 31 hits in 100 at-bats using the normal approximation. the following 300:

P(31 hits or more in 100 at-bats) = 1 - P(30 hits or fewer in 100 at-bats)

substitute the values in the above equation

= 1 - P(z ≤ (30 - 100(.300)) / √(100(.300)(1 - .300)))

simplifying the equation, we get

= 1 - P(z ≤ -1.44)

= 1 - .0733

= .9267

As a result, there is a roughly.9267 chance that the player's average over his next 100 at-bats will be.310 or higher.

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The required simplified value of the given expression is 6x∛10x.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
=  ∛ 8x² × ∛ 135x²
= 2∛2x² × 3 ∛5x²
= 6 ∛10x⁴
= 6x∛10x

Thus, the required simplified value of the given expression is 6x∛10x.

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Subtract

2

from both sides

5

�

+

2

=

52

5

�

+

2

−

2

=

52

−

2

2

Simplify

3

Divide both sides by the same factor

4

Simplify

Solution

Answer:

C

Step-by-step explanation:

The line segment with the same length then such segments are congruent to each other.

As given in the question,

Let us consider two line segment named AB and PQ .

Length of the line segment AB is equal to 5cm.

Given condition that both the line segment have same length .

It implies length of PQ = 5cm

When two different line segment have same measure they are known as congruent to each other.

It is represented by symbol ' ≅ '

AB ≅ PQ

Therefore,  for the two different line having same length represents they are congruent to each other.

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y = 75x - 450 represents the number of customers served per hour where y is the number of customers served and x is the number of hours.

The point-slope form of a linear equation is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

To find the equation representing the number of customers served per hour, we can first find the slope of the line by using the information given. The slope of a line is the change in y over the change in x.

In 8 hours, the restaurant serves 600 customers and in 12 hours, 900 customers. Therefore, the change in y is 900 - 600 = 300 and the change in x is 12 - 8 = 4. The slope of the line is 300/4 = 75.

We also know that the restaurant serves 600 customers in 8 hours. This means that when x = 8, y = 600.

Using this information, we can write the equation in point-slope form:

y - 600 = 75(x - 8)

So the equation of the line representing the number of customers served per hour is:

y = 75x - 450

Where y is the number of customers served and x is the number of hours.

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Answer:

84

Step-by-step explanation:

Answer:

c -14/3

Step-by-step explanation:

5c + 4 = 2( c - 5 )

5c + 4 = 2c - 10

5c - 2c = -10 -4

3c = - 14

c -14/3

Answer:

135

Step-by-step explanation:

After putting this expression and running the math the answer reachs at 135

19 x 8=152

152-16=136

136+8=144

144+76=220

220-85=135

Answer:135

Answer:

135

Step-by-step explanation:

19*8 = 152

76-85 = -9

So the equation is:

152 - 16 + 8 - 9

This is equal to 135.

To see if an equation has an extraneous root we can perform the below given steps.

When "a" is entered into the equation which is given , it becomes zero, but when "b" is entered, it do not become 0. As a result, "b" is an unnecessary root.

An extraneous root is frequently seen as an invalid solution or an extra non-meaningful solution that is commonly connected with an equation.

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Answer:

Step-by-step explanation:

The 3D figure that is created when the triangle shown is rotated about the vertical axis is; A cone

A three dimensional figure is defined as one that has a length, width and height.

Let us look at some options;

1) Prism; This is not formed by rotating a two-dimensional figure around the y-axis because of the presence of both a rectangle and a triangle face.

2) Cylinder; This is a three dimensional figure formed by rotating a rectangle which is a two-dimensional figure around the y-axis.

3) Circle; This is a two dimensional figure

4) Cone; This is a three dimensional figure formed by rotating a triangle which is a two-dimensional figure around the y-axis.

5) Sphere; This is a three dimensional figure formed by rotating a semi circle which is a two-dimensional figure around the y-axis.

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The complex number given above expressed as a + ib is 2i

Complex numbers are the numbers that are stated in the form of a+ib where, a,b are real numbers and I is an imaginary number termed "iota". The value of i = (√-1).

To solve the above problem, first, we must reduce imaginary units using the property i² = -1

(i)⁹ - 1 (i)¹⁹

i - 1 (i) ¹⁹

i - 1 (-1)

Subtract the complex numbers

i - (-i)

Identify the components of the numbers and add the real and imaginary parts separately.

(1 + 1)i

Identify the components of the numbers and add the real and imaginary parts separately

(1 + 1)i

(2)i

Thus, the solution to the imaginary number given above is 2i.

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Full Question:

Express the given complex number in the form a + ib: i⁹ - i¹⁹