Find the length of the missing side. The triangle is not drawn to scale. Show your work. (Will give brainliest)

Find The Length Of The Missing Side. The Triangle Is Not Drawn To Scale. Show Your Work. (Will Give Brainliest)

Answers

Answer 1

A^2 + b^2 = c^2

C is your hypotenuse or the longest side of the triangle; you plug in your values and solve for the missing side:

15^2 + b^2 = 17^2

225 + b^2 = 289

*-225 on both sides to get b by itself*

B^2 = 64

*to get rid of the ^2; you take the square root*

B = sqrt 64

B= 8 <— final answer

Answer 2

We can use the Pythagorean Theorem to solve for the missing side length (a).

Pythagorean Theorem:

a² + b² = c²

a and b are the legs (shorter sides) of the triangle and c is the hypotenuse (the longer side of the triangle).

1. Substitute in the known values.

a = ?

b = 15

c = 17

a² + 15² = 17²

2. Solve for a.

a² + 15² = 17²

a² + 225 = 289

a² + 225 - 225 = 289 - 225

a² = 64

√a² = √64

a = 8

Hope this helps!


Related Questions

A landing pad for a helicopter is in the shape of a circle with a radius of 7 meters. Which of the following is closest to the area of the landing pad?

Answers

Answer:

The approximate value of the area is [tex]153.86\ m^{2}[/tex]

Step-by-step explanation:

we know that

The area of the circle (landing pad) is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=7\ m[/tex]

substitute

[tex]A=\pi (7)^{2}[/tex]

[tex]A=49\pi\ m^{2}[/tex] ----> exact value of the area

Find the approximate value

assume [tex]\pi=3.14[/tex]

[tex]A=49(3.14)=153.86\ m^{2}[/tex] ------> approximate value of the area

Answer:

Area of Circular landing pad = 307.72 m^2

Step-by-step explanation:

Area of Circular landing pad = 2πr^2

where r = radius of circular landing pad = 7m

π = 22/7 = 3.14

by placing all these value in the formula

Area of Circular landing pad = 2*3.14*(7^2)

Area of Circular landing pad = 6.28*49

Area of Circular landing pad = 307.72 m^2

if x=2 and t=4, what is the value of 1/8 (x^3-4)(t^2+8)

Answers

When substituting x=2 and t=4 into the expression 1/8 (x^3 - 4)(t^2 + 8), it simplifies to 12.

If x=2 and t=4, to find the value of 1/8 (x3 - 4)(t2 + 8), we must substitute the values of x and t into the expression and simplify.

Firstly, calculate x3:

x^3 = 23 = 8

Then, calculate t2:

t^2 = 42 = 16

Now we substitute x^3 and t^2 into the expression:

1/8 (8 - 4)(16 + 8) = 1/8 (4)(24) = 1/8 * 96 = 12

Hence, the value of the expression is 12 when x = 2 and t = 4.

Determine the digits of Y from these clues.
The digits of Y add to 18.
The first digit is 3 times the third digit.
The second digit is 2 times the third digit.
Y is a three digit number.​

Answers

Answer:

Y = 963

Step-by-step explanation:

The digits of Y add to 18.  The first digit is 3 times the third digit.  The second  digit is 2 times the third digit.  Y is a three digit number.​

Let Y a three digit number be: abc

First digit = a , Second digit = b, Third digit = c

Also given,

The digits of Y add to 18. => a+b+c = 18     eq(i)

The first digit is 3 times the third digit. => a = 3c     eq(ii)

The second digit is 2 times the third digit. => b = 2c     eq(iii)

Putting value of a and b in eq(i)

3c + 2c + c = 18

6c = 18

c= 18/6

c = 3

Putting value of c in eq(ii) and eq(iii)

a= 3c => a=3(3) => a= 9

b= 2c => b=2(3) => b = 6

Thus, Y = abc

Y = 963

Which algebraic expression will solve for the blue area of this square figure?

A. -12x
B. -2x+30
C. 10x+18
D. 20x

Answers

Answer:

Option B. [tex]-2x+30[/tex]

Step-by-step explanation:

we know that

The blue area is equal to the area of complete rectangle minus the area of the  white rectangle

so

[tex]A=(5+3x)(6)-(5)(4x)\\\\ A=(30+18x)-(20x)\\ \\A=-2x+30[/tex]

A bowling team participated in a two-day tournament and records the scores for each team member on both days.The scores for both days are represented by the box plots below

Answers

I think it's B hope you got it right

The correct answer is B. The scores on Friday have a greater median and a greater interquartile range than the scores on Saturday.

The box plots represent the bowling scores of a team on Friday and Saturday. Let’s analyze the information from the plots:

Friday Box Plot:

The median (Q2) is higher than the median for Saturday.

The interquartile range (IQR) is larger than the IQR for Saturday.

Saturday Box Plot:

The median (Q2) is lower than the median for Friday.

The interquartile range (IQR) is smaller than the IQR for Friday.

Based on this analysis, we can draw the following conclusion:

B. The scores on Friday have a greater median and a greater interquartile range than the scores on Saturday.

Therefore, the correct answer is B.

Gina is the costume manager for a large theater company. She has 12 different hats, including 2 helmets.

What is the probability that a randomly chosen hat from Gina's inventory will be a helmet?

Simplify your answer and write it as a fraction or whole number.

Answers

Final answer:

The probability that a hat randomly chosen from Gina's inventory will be a helmet is 2 out of 12, which simplifies to 1 out of 6.

Explanation:

The subject of this question is probability, which is a branch of mathematics. Gina has 12 different hats, out of which 2 are helmets. The probability of an event happening is calculated as the number of ways the event can happen divided by the total number of outcomes.

So in this case, there are 2 helmets out of a total of 12 hats. So, the probability that a hat randomly chosen from Gina's inventory will be a helmet is 2 out of 12. You can also simplify this probability by dividing both the numerator and the denominator by the greatest common divisor, which is 2 in this case. Therefore, the simplified probability is 1 out of 6.

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Final answer:

The probability of choosing a randomly selected hat from Gina's inventory to be a helmet is 1/6.

Explanation:

To find the probability of selecting a helmet from Gina's inventory, we need to divide the number of helmets by the total number of hats in her inventory.

Gina has 12 hats, including 2 helmets, so the probability is

= 2 helmets / 12 hats

= 1/6.

Therefore, the probability of choosing a randomly selected hat from Gina's inventory to be a helmet is 1/6.

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The answer to this problem please

Answers

Answer:

834451800

Step-by-step explanation:

C(n,r)=?

 

C(n,r)=C(35,12)

=35!(12!(35−12)!)

=35!12!×23!

=8.344518E+8

= 834451800

Week 8 trigonometric worksheet!!! PLEASE HELP ME IS A FINAL GRADE FOR SCHOOL!

Answers

Answer:

Part 1) The six trigonometric functions in the procedure

Part 2) The six trigonometric functions in the procedure

Part 3) The six trigonometric functions in the procedure

Part 4) The value of x is [tex]x=7\sqrt{2}\ units[/tex] and the value of y is [tex]y=7\ units[/tex]

Part 5) The value of x is [tex]x=5\ units[/tex] and the value of y is [tex]y=5\sqrt{3}\ units[/tex]

Part 6) The value of x is [tex]x=2\sqrt{3}\ units[/tex] and the value of y is [tex]y=\sqrt{3}\ units[/tex]

Part 7)  [tex]cos(27\°)=0.8910[/tex]

Part 8)  [tex]tan(5\°)=0.0875[/tex]

Part 9)  [tex]sin(48\°)=0.7431[/tex]

Part 10) [tex]cot(81\°)=0.1584[/tex]

Part 11) [tex]csc(23\°)=2.5593[/tex]

Part 12) [tex]sec(66\°)=2.4586[/tex]

Part 13) [tex]cot(13\°)=4.3315[/tex]

Part 14) [tex]sin(32\°)=0.5299[/tex]

Step-by-step explanation:

Note The complete answers in the attached file

Part 1) In the right triangle of the figure find the hypotenuse

Applying Pythagoras theorem

[tex]c^{2} =8^{2}+15^{2}\\c^{2}=289\\c=17\ units[/tex]

1) Find the [tex]sin(\theta)[/tex]

[tex]sin(\theta)=\frac{8}{17}[/tex] ----> opposite side angle [tex]\theta[/tex] divided by the hypotenuse

2) Find the [tex]cos(\theta)[/tex]

[tex]cos(\theta)=\frac{15}{17}[/tex] ----> adjacent side angle [tex]\theta[/tex] divided by the hypotenuse

3) Find the [tex]tan(\theta)[/tex]

[tex]tan(\theta)=\frac{8}{15}[/tex] ----> opposite side angle [tex]\theta[/tex] divided by the adjacent side angle [tex]\theta[/tex]

4) Find the [tex]cot(\theta)[/tex]

[tex]cot(\theta)=\frac{15}{8}[/tex] ----> adjacent side angle [tex]\theta[/tex] divided by the opposite side angle [tex]\theta[/tex]

5) Find the [tex]sec(\theta)[/tex]

[tex]sec(\theta)=\frac{1}{cos(\theta)}[/tex]

[tex]sec(\theta)=\frac{17}{15}[/tex]  ----> hypotenuse divided by the adjacent side angle [tex]\theta[/tex]

6) Find the [tex]csc(\theta)[/tex]

[tex]csc(\theta)=\frac{1}{sin(\theta)}[/tex]

[tex]csc(\theta)=\frac{17}{8}[/tex]  ----> hypotenuse divided by the opposite side angle [tex]\theta[/tex]

Part 2) In the right triangle of the figure find the adjacent side angle [tex]\theta[/tex]

Applying Pythagoras theorem

[tex]5^{2} =2^{2}+a^{2}\\ a^{2}=5^{2}-2^{2}\\a^{2}=21\\a=\sqrt{21}\ units[/tex]  

1) Find the [tex]sin(\theta)[/tex]

[tex]sin(\theta)=\frac{2}{5}[/tex] ----> opposite side angle [tex]\theta[/tex] divided by the hypotenuse

2) Find the [tex]cos(\theta)[/tex]

[tex]cos(\theta)=\frac{\sqrt{21}}{5}[/tex] ----> adjacent side angle [tex]\theta[/tex] divided by the hypotenuse

3) Find the [tex]tan(\theta)[/tex]

[tex]tan(\theta)=\frac{2}{\sqrt{21}}[/tex] ----> opposite side angle [tex]\theta[/tex] divided by the adjacent side angle [tex]\theta[/tex]

4) Find the [tex]cot(\theta)[/tex]

[tex]cot(\theta)=\frac{\sqrt{21}}{2}[/tex] ----> adjacent side angle [tex]\theta[/tex] divided by the opposite side angle [tex]\theta[/tex]

5) Find the [tex]sec(\theta)[/tex]

[tex]sec(\theta)=\frac{1}{cos(\theta)}[/tex]

[tex]sec(\theta)=\frac{5}{\sqrt{21}}[/tex]  ----> hypotenuse divided by the adjacent side angle [tex]\theta[/tex]

6) Find the [tex]csc(\theta)[/tex]

[tex]csc(\theta)=\frac{1}{sin(\theta)}[/tex]

[tex]csc(\theta)=\frac{5}{2}[/tex]  ----> hypotenuse divided by the opposite side angle [tex]\theta[/tex]

Part 3) In the right triangle of the figure find the opposite side angle [tex]\theta[/tex]

Applying Pythagoras theorem

[tex]3^{2} =1^{2}+b^{2}\\ b^{2}=3^{2}-1^{2}\\b^{2}=8\\b=\sqrt{8}\ units[/tex]  

1) Find the [tex]sin(\theta)[/tex]

[tex]sin(\theta)=\frac{\sqrt{8}}{3}[/tex] ----> opposite side angle [tex]\theta[/tex] divided by the hypotenuse

2) Find the [tex]cos(\theta)[/tex]

[tex]cos(\theta)=\frac{\sqrt{1}}{3}[/tex] ----> adjacent side angle [tex]\theta[/tex] divided by the hypotenuse

3) Find the [tex]tan(\theta)[/tex]

[tex]tan(\theta)=\frac{\sqrt{8}}{1}[/tex] ----> opposite side angle [tex]\theta[/tex] divided by the adjacent side angle [tex]\theta[/tex]

4) Find the [tex]cot(\theta)[/tex]

[tex]cot(\theta)=\frac{1}{\sqrt{8}}[/tex] ----> adjacent side angle [tex]\theta[/tex] divided by the opposite side angle [tex]\theta[/tex]

5) Find the [tex]sec(\theta)[/tex]

[tex]sec(\theta)=\frac{1}{cos(\theta)}[/tex]

[tex]sec(\theta)=\frac{3}{1}[/tex]  ----> hypotenuse divided by the adjacent side angle [tex]\theta[/tex]

6) Find the [tex]csc(\theta)[/tex]

[tex]csc(\theta)=\frac{1}{sin(\theta)}[/tex]

[tex]csc(\theta)=\frac{3}{\sqrt{8}}[/tex]  ----> hypotenuse divided by the opposite side angle [tex]\theta[/tex]

Part 4) In the right triangle of the figure

a) Find the value of x

 we know that

[tex]sin(45\°)=\frac{7}{x}[/tex]

[tex]x=\frac{7}{sin(45\°)}[/tex]

Remember that

[tex]sin(45\°)=\frac{\sqrt{2}}{2}[/tex]

substitute

[tex]x=\frac{7}{\frac{\sqrt{2}}{2}}[/tex]

[tex]x=\frac{14}{\sqrt{2}}[/tex]

[tex]x=7\sqrt{2}\ units[/tex]

b) Find the value of y

The value of [tex]y=7\ units[/tex] ----> by triangle 45°-90°-45° measures

Note The complete answers in the attached file

Please help thx so much

Answers

Answer:

(- 1, 3)

Step-by-step explanation:

To find the y- coordinate, substitute x = - 1 into the equation

y - 3 = 2(x + 1) ( add 3 to both sides )

y = 2(x + 1) + 3 ← substitute x = - 1

y = 2(- 1 + 1) + 3 = (2 × 0) + 3 = 0 + 3 = 3

Please help me asap! Could you please explain how you got the answer

Complete the two-way frequency table below, which shows the relationship between students who enroll in advanced Algebra and Physics in a particular high school. From a sample of 30 students, it is found that 19 are taking Algebra, 12 are taking Physics, and 4 are enrolled in both. How many students are enrolled in either Algebra or Physics?


Algebra Not in Algebra Total

Physics 4 --------- ----------------------------12

Not in Physics

Total 19---------------------------------------30


A.) 27

B.) 23

C.) 3

D.) 4

Answers

Answer:

B) 23

Step-by-step explanation:

Table:            Algebra | No algebra | Total

Physics        |      4           Step 1: 8      12

No physics  |Step 2: 15

Total            |      19                              30

We look for the number of people who are in algebra and no physics or physics and no algebra.

1. 12 - 4 = 8

2. 19 - 4 = 15

3. We find the total of those numbers: 15 + 8 = 23

Answer: 27

Step-by-step explanation:

What is the value of discriminant in the equation shown below? x2+3x-6=0​

Answers

ANSWER

The discriminant is -3

EXPLANATION

The given quadratic equation is:

[tex] {x}^{2} + 3x - 6 = 0[/tex]

Comparing this equation to:

[tex]a {x}^{2} + bx + c = 0[/tex]

we have

a=1, b=3, and c=-6

The discriminant is calculated using the formula,

[tex]D = {b}^{2} - 4ac[/tex]

We substitute the values to get:

[tex]D = {3}^{2} - 4(1)(3)[/tex]

[tex]D = 9 - 12[/tex]

[tex]D = - 3[/tex]

Answer:

Discriminant = 33

Step-by-step explanation:

Solution of a quadratic equation ax² + bx + c = 0

Discriminant  = (b² - 4ac)

It is given that, x² + 3x - 6 = 0

To find the value of discriminant

x² + 3x - 6 = 0

Here a = 1, b = 3 and c = -6

Discriminant  = (b² - 4ac)

 =  (3² - 4 * 1 * (-6))

 = (9 +24) = 33

Therefore discriminant  of given equation is 33

Simplify (2√6÷√2+√3)+(6√2÷√6+√3)-(8√3÷√6+√3)

Answers

The given expression simplifies to 0.

To simplify the expression (2√6÷√2+√3)+(6√2÷√6+√3)-(8√3÷√6+√3), we need to simplify each term and then combine like terms. Let's break it down step by step:

Simplify 2√6÷√2 by realizing that √6÷√2 is equivalent to √3. So, 2√3 remains.

In the second term, 6√2÷√6, √6÷√6 simplifies to 1, so we just have 6√2.

For the last term, 8√3÷√6, √3÷√6 simplifies to √(3÷6), which simplifies further to √(1÷2), or 8÷√2.

Combine like terms with the common denominator of √3, resulting in:
(2√3 + 6÷√3 - 8÷√3).

The terms with the square root denominators can be combined into (-2√3).

After combining, we have (2√3 - 2√3), which simplifies to 0. Therefore, the simplified expression is 0.

Select the two values of x that are roots or this equation x^2-5x+2=0

Answers

Answer:

(5/2, +-(square root 17)/ 2)

Step-by-step explanation:

1. find a,b, and c of the quadratic

2. use the quadratic formula to solve

The two values of roots of the equation is 4.56 , 0.44 .

What is an Equation ?

An equation is a statement where two algebraic expressions are equated by an equal sign.

The equation given is

x² - 5x +2 = 0

the roots of the equation is given by

[tex]\rm \dfrac{ -b \pm \sqrt { b^2 - 4ac}}{2a}[/tex]

[tex]\rm \dfrac{ 5 \pm \sqrt { 25 - 4 * 1 * 2}}{2 *1}[/tex]

x = [tex]\rm \dfrac{ 5 \pm \sqrt { 17}}{2}[/tex]

Therefore the two values of roots of the equation is 4.56 , 0.44 .

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G=4ca-3ba for a Asap

Answers

Answer:

a = [tex]\frac{G}{4c-3b}[/tex]

Step-by-step explanation:

Given

G = 4ca - 3ba ← factor out a from each term on the right side

G = a(4c - 3b) ← divide both sides by (4c - 3b)

a = [tex]\frac{G}{4c-3b}[/tex]

-4x + 5y=8 6x - y = 11

Answers

Final answer:

To solve the given system of linear equations, the elimination method is used, resulting in the solution x = 63/26 and y = -97/26.

Explanation:

The system of equations presented by the student:

-4x + 5y = 8

6x - y = 11

belongs to the topic of algebra, specifically to solving systems of linear equations. To find the values of x and y that satisfy both equations, we can use methods like substitution or elimination. Let's use elimination in this case:

Multiply the second equation by 5 so that the y terms will cancel out when we add the two equations together. The second equation becomes 30x - 5y = 55.

Add the modified second equation to the first equation:

-4x + 5y = 8
+ 30x - 5y = 55

____________________

26x         = 63

Solving for x, we find that x = 63/26.

Substitute x into one of the original equations to find y.

Using 6x - y = 11:

6(63/26) - y = 11

378/26 - y = 11

y = 378/26 - 286/26

y = 92/26

Therefore, the solution to the system of equations is x = 63/26 and y = 92/26.

a B and C are polynomials where a equals 3x - 4 b equals x + 7 C equals x squared + 2 what is a squared minus parentheses b + C in simplest form? ​

Answers

Answer:

8x^2 - 25x +7

Step-by-step explanation:

Substitute the polynomials in

A^2 - (B+C)

(3x-4)^2 - (x+7+x^2+2), simplify the equation

Using foil method, (9x^2-24x+16) - (x+7+x^2+2)

(9x^2-24x+16)-(x^2+x+9), distribute the minus/negative sign to the second parenthesis

(9x^2-24x+16) - x^2-x-9, combine like terms

8x^2 - 25x +7

The table below shows the heights of students in a group.
Student
Height
(in inches)
A
50
B
54
C
52
D
56
E
48


What is the mean height of the students in the group? (1 point)

48 inches

49 inches

51 inches

52 inches

Peter asked the students of his class their football scores and recorded the scores in the table shown below:
Football Scores
Score
Number of
Students
0
5
1
3
2
12
3
2
4
6
5
6
6
4


Based on the table, what is the mean football score? (1 point)

1.3

1.8

2.9

3.5

Answers

Answer:

1.  52

2. 2.9

Step-by-step explanation:

To find the mean, we take all the numbers, add them up then divide by the number of numbers.

1.  mean height

mean = (50+54+52+56+48)/5

            =260/5

            =52

52 inches

2.  mean score

There are 5+3+12+2+6+6+4 students = 38 students

Multiply the number of students times the score and add together

total points =  (0*5+1*3+2*12+3*2+4*6+5*6+6*4)

        = 111

The mean is the total points  divided by the number of students

mean = 111/38

        =2.92

Answer:

[tex]\bar x = 52inch\\\bar x_w = 2.92[/tex]

Step-by-step explanation:

According to the data recorded in the table, the average of the students' heights is calculated with the expression for the arithmetic mean:

[tex]\bar x =\frac{1}{n} \sum x_i[/tex]

[tex]\bar x = \frac{1}{5}(48 + 50 + 52 + 54 + 56) = \frac{260}{5} = 52[/tex]inch.

In the same way, the weighted average must be used to find the average football score:

[tex]\bar x_w = \frac{\sum x_i * w_i}{\sum w_i}[/tex], where wi are the frequencies of each response.

[tex]\bar x_w = (0 * 5 + 1 * 3 + 2 * 12 + 3 * 2 + 4 * 6 + 5 * 6 + 6 * 4) / (5 + 3 + 12 + 2 + 6 + 6 + 4) = \frac{111}{38} = 2.92[/tex]

2 friends share 7 cookies equally how many cookies does each person get

Answers

3.5 cookies

Friend one: 3 Friend two: 3

One leftover cookie

Split in half give one to each and that makes 3.5

Each of the 2 friends gets 3.5 cookies when sharing 7 cookies equally.

When 2 friends share 7 cookies equally, you divide the total number of cookies by the number of friends. Here, you need to divide 7 cookies by 2 to find out how many cookies each person gets. The calculation would be:

Divide 7 by 2: 7 \/ 2 = 3.5

So, each friend gets 3.5 cookies. However, since you cannot share a cookie perfectly in half without changing its state, we assume this division is hypothetical. In a real-world scenario, they might have to decide how to divide the last cookie or simply share it equally, giving each friend half of the last cookie.

On Saturn year equals 29.5 earth years. If you were three years old on Saturn how old would you be on earth

Answers

Answer 88.5 I think I don’t know if it’s right

Step-by-step explanation:

Multiply it by 3

Final answer:

If you were three years old on Saturn, which has a year length equivalent to 29.5 Earth years, you'd be 88.5 years old on Earth.

Explanation:

The subject of your question is focused on the comparison of time passage on different planets--in this case, how years on Saturn compare to years on Earth. In terms of the Solar system, a year on any planet is determined by how long it takes to orbit the Sun. Given that one Saturn year equals 29.5 Earth years, if you were three years old on Saturn, you'd be 88.5 years old on Earth (Because 29.5 * 3 = 88.5).

This is calculated simply by multiplying the number of Saturn years by the equivalent in Earth years. This concept can be applied to other planets as well, as each has its own specific length of year based on its orbit around the Sun.

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Suppose you are working as a pastry chef. You have 12 cups of chocolate cream to fill eclairs. Each eclair requires 2.25 ounces of filling. If you use all of the chocolate cream, at most how many eclairs can you make? A) 32 B) 36 C) 42 D) 44

Answers

Answer:

C- 42

Step-by-step explanation:

there are 8 ounces in a cup so 12 x 8 = 96 oz

96/2.25 = 42.6666666667

Rounded back to 42

Answer:

By using all the chocolate cream, at most the number of eclairs that can be made is:

                 C) 42

Step-by-step explanation:

It is given that:

You have 12 cups of chocolate cream to fill eclairs.

Each eclair requires 2.25 ounces of filling.

We know that:

The universal conversion that is used is:

  1 cups=8 ounces

and hence,

12 cups= 12×8=96 ounces.

Hence, the number of ounces of chocolate cream to fill eclairs= 96 ounces

Also,

amount of filling required by 1 eclair= 2.25 ounces.

Hence, Number of eclairs that can be made is:

[tex]Number\ of\ eclairs=\dfrac{96}{2.25}\\\\i.e.\\\\Number\ of\ eclairs=42.67[/tex]

This means that:

Atmost the number of eclairs than can be made= 42

Evaluate and simplify the following complex fraction

Answers

Answer:

-0.01851851851

Step-by-step explanation:

Answer:

[tex]-\dfrac{3}{2}[/tex]

Step-by-step explanation:

[tex]\dfrac{\frac{2}{3} }{\frac{4}{-9} } [/tex]

[tex]= \dfrac{2}{3} \div \dfrac{4}{-9}[/tex]

[tex]= \dfrac{2}{3} \times \dfrac{-9}{4}[/tex]

[tex]= \dfrac{-18}{12}[/tex]

[tex]= -\dfrac{3}{2}[/tex]

1. Solve. (-24x? +18x+6) - (6x+3) (1 point)
-4x² + 2x-2
472 - 2x+2
4x2+2x-2
-4x2+2x+2

Answers

Answer:

Step-by-step explanation:

Since this is not an equation, we're not looking to "solve."  Rather, we're to subtract the 2nd polynomial from the 1st one.

 -24x² + 18x + 6

-(               6x + 3)

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

-24x² + 12x   +3 (answer ... this is called a "difference" and is the

                              result of subtraction)

The simplified expression is 3( -8x² + 4x + 1).

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

(-24x² +18x+6) - (6x+3)

Now, simplifying the polynomial

= -24x² +18x+6 - 6x - 3

= -24x² + 12x + 3

= 3( -8x² + 4x + 1)

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The volume of a cylinder is 441pi. If the cylinder has a height of 9, what is the radius?

Answers

Answer: 7

Step-by-step explanation:

volume of a cylinder = πr²h

441π = π *r²* 9

divide both sides by 9π

49 = r²

r =√49 = 7

Answer:

49

Step-by-step explanation:

what measures of the three angles of a triangle are given by 4x,2x, and 6x. what is the measure of the smallest angle?​

Answers

Answer:

2x=30 degrees

Step-by-step explanation:

Add up all of the angles and set them equal to 180 degrees, because triangles are always made up of angles with a sum of 180 degrees.

2x+4x+6x=180

12x=180

x=15

smallest angle is 2x

2(15)=30

The price, p, for different size orders of printed programs for a musical production, n, is given in the tables. please help ill mark BRAINLYEST 15 points

Answers

For an equation to be linear, the slope has to be the same/constant.

To find the slope (m), you use the slope formula:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]  and substitute in 2 points

(1 , 60) [x₁ , y₁] and (5 , 70) [x₂ , y₂]

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]  

[tex]m=\frac{70-60}{5-1}[/tex]

[tex]m=\frac{10}{4} =\frac{5}{2}[/tex] or 2.5

Try a different point to see if the slope is the same:

(5, 70) and (20, 80)

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m=\frac{80-70}{20-5}[/tex]

[tex]m=\frac{10}{15} =\frac{2}{3}[/tex] or 0.6666666

Since the slopes are different, a linear equation can not be used

factor the polynomial completely


3x^2-4x+21

Answers

Answer:

The given equation 3x^2-4x+21 has no factors.

Step-by-step explanation:

[tex]3x^2-4x+21[/tex] We need to factorize this equation.

For factorization we split the middle term such that their sum is equal to middle term and product is equal to product of first and last term of the given expression.

in Our case : 63x^2

We need to find two factors of 63x^2 whose sum is equal to -4x

Factors of 63= 1,3,7,9,21,63

1* 63

3*21

7*9

None of the above factors sum is equal to -4.

So, the given equation 3x^2-4x+21 has no factors.

Answer:

No factors.

Step-by-step explanation:

The polynomial is not factorable with rational numbers. If you are on some advanced math, you would be able to be able to factor this.

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.

A. g(-4) = -11
B. g(7) = -1
C. g(-13) = 20
D. g(0) = 2

Answers

Answer:

C.

Step-by-step explanation:

C is true because we already know g(0) is -2, and functions cannot repeat themselves with different numbers like that. A is not true because the range does not go that far down. B is not true because the domain does not go that far up.

Answer:

C is the answer

Step-by-step explanation:

C is the answer because

Drag the tiles to the correct boxes to complete the pairs.
Match each polynomial function with one of its factors.
f(x) = x3 − 3x2 − 13x + 15
f(x) = x4 + 3x3 − 8x2 + 5x − 25
f(x) = x3 − 2x2 − x + 2
f(x) = -x3 + 13x − 12
x − 2
arrowRight
x + 3
arrowRight
x + 4
arrowRight
x + 5
arrowRight

Answers

Answer:

f(x) = x3 − 3x2 − 13x + 15    Factor:   x+3

f(x) = x4 + 3x3 − 8x2 + 5x − 25   Factor:  x+5

f(x) = x3 − 2x2 − x + 2     Factor:  x-2

f(x) = -x3 + 13x − 12  Factor:  x+4

Step-by-step explanation:

f(x) = x^3 − 3x^2 − 13x + 15

Solving:

We will use rational root theorem: -1 is the root of x^3 − 3x^2 − 13x + 15 so, factor out x+1

x^3 − 3x^2 − 13x + 15 / x+1 = x^2-2x-15

Factor: x^2-2x-15 =(x+3)(x-5)

So, factors are: (x+1)(x+3)(x-5)

Factor: (x+5)

f(x) = x^4 + 3x^3 − 8x^2 + 5x − 25

Solving:

We will use rational root theorem: -5 is the root of x^4 + 3x^3 − 8x^2 + 5x − 25, so factour out (x+5)

x^4 + 3x^3 − 8x^2 + 5x − 25 / x+5 = x^3-2x^2 +2x -5

So, factors are (x+5) (x^3-2x^2 +2x -5)

  Factor:  x+5

f(x) = x^3 − 2x^2 − x + 2    

Solving:

x^2(x-2)-1(x-2)

(x-2)(x^2-1)

(x-2) (x-1) (x+1)

Factor:  x-2

f(x) = -x^3 + 13x − 12

Solving:

-(x^3 + 13x -12)

We will use rational root theorem:

The 1 is a root of (x^3 + 13x -12) so, factor out x-1

Now solving (x^3 + 13x -12)/x-1 we get (x-3)(x+4)

So, roots are: - (x-1)(x-3)(x+4)

Factor (x+4)

Answer:

Polynomial 1 = x + 3

Polynomial 2 = x + 5

Polynomial 3 = x - 2

Polynomial 4 = x + 4

Step-by-step explanation:

We are given with Polynomials and and some factors.

We have to match the correct Pair.

We Map the polynomials on the graph then check which factors matches.

Polynomial 1).

x³ - 3x² - 13x + 15

factors are ( x + 3 ) , ( x - 1 ) , ( x - 5 )

Polynomial 2).

[tex]x^4+3x^3-8x^2+5x-25[/tex]

factors are ( x + 5 )

Polynomial 3).

[tex]x^3-2x^2-x+2[/tex]

factors are ( x + 1 ) ,( x - 1 ) , ( x - 2 )

Polynomial 4).

[tex]-x^3+13x-12[/tex]

factors are ( x + 4 ) ,( x - 1 ) , ( x - 3 )

Therefore,

Polynomial 1 = x + 3

Polynomial 2 = x + 5

Polynomial 3 = x - 2

Polynomial 4 = x + 4

In DEF, DE = 15, and m angle F=32 Find EF to the nearest tenth.

Answers

the answer would be 24.0.

Solve for x: 3(x+1)=-2(x-1)-4

Answers

Answer:

X= -1

You're welcome! Love ya!! <3

Answer:

The correct answer is x = -1

Step-by-step explanation:

It is given an expression with variable x

3(x + 1) = -2(x - 1) - 4

To solve the given expression

3(x + 1) = -2(x - 1) - 4

3x + 3 = -2x + 2 - 4   ( open the bracket)

3x + 2x = 2 - 4 -3

5x = -5

x = -5/5 = -1

Therefore the value of x = -1

The correct answer is x = -1

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