what is the value of x in this figure?​

What Is The Value Of X In This Figure?

Answers

Answer 1

Answer:

D

Step-by-step explanation:

In a 30-60-90 triangle, if the short leg is x, then the long leg is x√3, and the hypotenuse is 2x.

Here, the hypotenuse is 10.  So the short leg is:

10 = 2x

x = 5

If the short leg is 5, then the long leg is 5√3.


Related Questions

Use the distance formula to find the distance between (-3,5) and (3,1)

Answers

Answer:

√52

Step-by-step explanation:

D=√(3+3)²+(1-5)²

=√36+16

=√52

Answer:

52

Step-by-step explanation:

Can someone plz help me

Answers

Answer:

One point greater than the last grade

Step-by-step explanation:

1. First off, N is the variable, so that means it can be any number, and when it uses the word greater, it means to ADD another number, which means one point greater.

Hello There!

n+1 could represent one point greater than the last test grade.

In this case, n could be the last grade so if we put this in words, the last test grade + 1 point so 1 would represent adding from the previous test.

The domain of the following relation: R: {(-3, 4), (5,0), (1, 5), (2, 8), (5, 10)} is (1 point)
{-3, 1, 2, 5)
{4, 0, 5, 8, 10)
{-3, 5, 1, 2,5}
No domain exists

Answers

Answer:

{-3,1,2,5}

Step-by-step explanation:

The domain is the input values

(-3,1,5,2,5)

We only list the 5 one time

{-3,1,2,5}

Giving 20 points please get it right

Answers

Answer:

B and C option is the answer to this question

Step-by-step explanation:

What is the length of the apothem, rounded to the nearest inch? Recall that in a regular hexagon, the length of the radius is equal to the length of each side of the hexagon.
4 in.
5 in.
9 in.
11 in.

Answers

Answer:

The third option, or 9, is the answer.

Step-by-step explanation:

The length of the apothem can be found using the pythagorean theorem. Since the length of each side of the hexagon is 10, the base of the triangle is 5, since 10/2=5. Plugging these two values into the pythagorean equation leaves 25+b^2=100.

B^2 = 75, so the length of the apothem is sqrt(75)

this is approximately 8.66, so the answer is 9.

The length of the apothem is 9 inch.

What is Apothem

The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides.

Using the pythagoras theorem.

As, the length of each side of the hexagon is 10.

so, the base of the triangle is 10/2=5.

Now using two values we get

25+b²=100.

B² = 75

Hence, so the length of the apothem is √75 = 8.66 = 9 (approx)

Learn more about Apothem here:

https://brainly.com/question/14963674

#SPJ2

A line intersects the points (0,-4)and (1,2). What is the slope-intercept equation for this line?

Answers

Answer:

y = 6x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, 2)

m = [tex]\frac{2+4}{1-0}[/tex] = 6

note the line crosses the y- axis at (0, - 4) ⇒ c = - 4

y = 6x - 4 ← in slope- intercept form

Which two numbers does 128 lie in between on a number line

Answers

The two numbers that 128 lies between are 127 and 129

Answer:

it's 11.3 and 11.4

Step-by-step explanation:

11.3 = 127.69

11.4 = 129.96

Which right triangle prism has the greatest volume

Answers

Answer:

the second option (9,11,8)

Step-by-step explanation:

Which number line shows the solution to -4 -(-1)?

Answers

Answer:

D

Step-by-step explanation:

The Line goes from 0 to -4 and then -(-1) makes +1 so -4 goes to -3

Answer:

D. I did an pre-exam with this question and got it right

how many zeros does the function f(x)=4x3-x2+1 have​

Answers

Answer:

3

Step-by-step explanation:

The Fundamental Theorem of Algebra states that a polynomial of degree n has n zeros. there may be complex zeros

4x³ - x² + 1 ← is a polynomial of degree 3, thus has 3 zeros

Solve this equation: 8p = -96
p=

Answers

8p = -96

Because that Moderator want me to explain this, so,

devid by 8 from both side:

8p / 8 = -96 / 8

p = -12

And that is the answer:

P = -12

Which expression is equivalent to 4√24x6y/128x4y5? Assume x ≠ 0 and y > 0.

Answers

For this case we must simplify the given expression:

Rewriting we have:

[tex]\sqrt [3] {\frac {2 * 5x ^ 5} {2 * 27x ^ 8}} =\\\sqrt [3] {\frac {5x ^ 5} {27x ^ 8}} =[/tex]

By definition of division of powers of equal base, the same base is placed and the exponents are subtracted:

[tex]\sqrt [3] {\frac {5x ^ {5-8}} {27}} =\\\sqrt [3] {\frac {5x ^ {- 3}} {27}} =\\\sqrt [3] {\frac {5} {27x ^ 3}} =[/tex]

We have to:

[tex]\sqrt [3] {27x ^ 3} = 3x[/tex]

Then, the expression is reduced to:

[tex]\frac {\sqrt [3] {5}} {3x}[/tex]

ANswer:

Option D

Answer:

its D jus trust

Step-by-step explanation:

If the radius of a cylinder is doubled and the height is tripled, what happens to the volume?
A)
It is multiplied by 6.
B)
It is multiplied by 12.
It is multiplied by 18.
D)
It is multiplied by 32​

Answers

Answer:

B

Step-by-step explanation:

Original volume = pi * r^2 * h

New r = 2*r

New h = 3*h

New Volume = pi * (2r)^2 *3*h

New Volume = pi * 4r^2 * 3 *h

New Volume = 4*3 * pi * r^2 + h

Conclusion

The New Volume = 12* the original volume

Points A, B, and C form a triangle. Complete the statements to prove that the sum of the interior angles of ΔABC is 180°.

Answers

Answer:

∠1 = ∠4 and ∠3 = ∠5  ( alternate interior angle).

Step-by-step explanation:

Given : Triangle ABC with angle  1, 2, 3.

To find : Complete the statements to prove that the sum of the interior angles of ΔABC is 180°.

Solution : We have given that triangle ABC with angle  1, 2, 3.

Here, line DE and AC are parallel and BA is traversal line.

∠1 = ∠4 ( alternate interior angle)

∠3 = ∠5 ( alternate interior angle)

∠4 + ∠2+ ∠5 = 180  ( angle formed on line)

∠1 + ∠2 + ∠3 = 180.

Therefore, ∠1 = ∠4 and ∠3 = ∠5  ( alternate interior angle).

The angles in a triangle add up to 180 degrees.

The text that completes the proof is: alternate interior angle

From the question, we can see that the missing statement is on the 4th line

Where:

[tex]\angle 1 \cong \angle 4[/tex] and [tex]\angle 3 \cong \angle 5[/tex]

From the figure of the triangle, we can see that:

[tex]\angle 1[/tex] and [tex]\angle 4[/tex] are alternate interior angles[tex]\angle 5[/tex] and [tex]\angle 3[/tex] are alternate interior angles

Hence, the statement that completes the proof is: alternate interior angle

Read more about the proofs of angles in a triangle at:

https://brainly.com/question/20441035

Let f(x) = 5x-6 and g(x) = 3x-2. Find f(x)+g(x)

Answers

Answer:

8x-8

Step-by-step explanation:

Since you are adding the two functions: f(x)+g(x), substitute what they equal into this expression:

5x-6+3x-2

Combine like terms:

5x+3x-6-2

Simplifying gives:

8x-8

Hope this helps!

Solve for x. 9x - 1 = -11 x = -1 x = -1 x = 1 x = 1

Answers

Answer:

x=-1

Step-by-step explanation:

Add by 1 from both sides of equation.

9x-1+1=-11+1

Simplify.

-11+1=-10

9x=-10

Divide by 9 from both sides of equation.

9x/9=-10/9

Simplify, to find the answer.

x=-10/9

x=-1 is the correct answer.

I hope this helps you, and have a wonderful day!

Answer:

x = -1.11111111111111(repeating)

Step-by-step explanation:

9x - 1 = -11

Add 1 to each side

9x - 1+1 = -11+1

9x = -10

Divide each side by 9

9x/9 = -10/9

x = -10/9

x = -1.11111111111111(repeating)

What is the slope-intercept equation of the line that includes (0,7) and (3,10)?

Answers

[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{10}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{10-7}{3-0}\implies \cfrac{3}{3}\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-7=1(x-0)\implies y-7=x\implies y=x+7[/tex]

Answer: y= x + 7

Step-by-step explanation:

boom

If f(x) = 4x + 7, which of the following is the inverse of f(x)?
O A. f-'(x) = 4x - 7
O B. f'() = *=4
C. FGx) = 7 - 4x
O D. F"(x) = *z?

Answers

For this case we must find the inverse of the following function:

[tex]f (x) = 4x + 7[/tex]

For it:

Replace f (x) with y:

[tex]y = 4x + 7[/tex]

We exchange the variables:

[tex]x = 4y + 7[/tex]

We solve for y:

We subtract 7 on both sides of the equation:

[tex]x-7 = 4y[/tex]

We divide between 4 on both sides of the equation:

[tex]y = \frac {x} {4} - \frac {7} {4}[/tex]

Finally, we change y by[tex]f ^ {- 1} (x)[/tex]:

[tex]f ^ {- 1} (x) = \frac {x} {4} - \frac {7} {4}[/tex]

ANswer:

[tex]f ^ {- 1} (x) = \frac {x} {4} - \frac {7} {4}[/tex]

the inverse function f-1(x) is (x - 7) / 4, which matches option B: f-1(x) = (x / 4) - (7 / 4).

The student asks which of the provided options is the inverse of the function f(x) = 4x + 7. To find the inverse function, we usually swap x and y and then solve for y. The steps to find the inverse are:

Replace f(x) with y: y = 4x + 7.Swap x and y: x = 4y + 7.Solve for y: y = (x - 7) / 4.

Therefore, the inverse function f-1(x) is (x - 7) / 4, which matches option B: f-1(x) = (x / 4) - (7 / 4).

If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to (sºt)(-7)?

Answers

Answer:

- 439

Step-by-step explanation:

[tex]s(x)=2-x^2,\ t(x)=3x\\\\(s\circ t)(x)=s\bigg(t(x)\bigg)-\text{exchange x to t(x) = 3x:}\\\\(s\circ t)(x)=2-(3x)^2=2-3^2x^2=2-9x^2\\\\(s\circ t)(-7)-\text{put x = -7 to the equation:}\\\\(s\circ t)(-7)=2-9(-7)^2=2-9(49)=2-441=-439[/tex]

Answer:

-439

Step-by-step explanation:

Got it right on edge

Can someone please help me

Answers

2x8x3 = 16x3 = 48

Hope this helps!

Your answer would be 48.

Just multiply.

2 x 8 = 16

16 x 3 = 48

Hope helps!-Aparri

What is the probability of drawing three queens from a standard deck of cards, given that the first card drawn was a queen? Assume that the cards are not replaced.

Answers

Answer:

The probability of drawing three queens is 1/425

Step-by-step explanation:

* lets talk about the deck cards

- The deck cards has 52 cards

- It has four symbols (heart , diamond , clubs , spades)

- Each symbol has 16 cards (from 1 to 10 and king , queen , princess)

* Lets solve the problem

- We will drawing three cards

- The cards are not replaced

- That means the total of the card will reduce by 1 after each drawing

- The cards will drawing are queens

- The first card drawn will be a queen

∵ The first card drawn is queen

∴ The number of cards for the second drawn is 52 - 1 = 51

∵ There are 4 queens in the deck cards we took one for the first choice

∴ The number of queen for the second choice is 4 - 1 = 3

∴ The probability of second choice is 3/51

- Now there are 2 queens and 50 cards after the second choice

∴ The number of the queen is 3 - 1 = 2

∴ The number of the deck cards is 51 - 1 = 50

∴ The probability of third choice is 2/50

- The probability of the three cards is the product of the two fractions

∴ The probability of drawing three queens = 3/51 × 2/50 = 6/2550

- Simplify the fraction

* The probability of drawing three queens = 1/425

A scatter plot is made to model the amount of money left to pay on a car loan. The data used for the scatter plot are shown in the table:

Answers

Answer:

"the original amount of the loan"

Step-by-step explanation:

x value would be the time in months and y value would be the loan amount that is left.

The y-intercept is basically the point where x is 0. So, we can say the y-intercept would be when time is 0.

That's basically when the loan started and the y-value represents the full loan amount., which is $22,000.

The correct answer is third option -- "the original amount of the loan".

Answer:

The correct option is C.

Step-by-step explanation:

It is given that a scatter plot is made to model the amount of money left to pay on a car loan.

From the given table we can conclude that the number or months represented by variable x and the amount of money owed is represented by variable y.

At y-intercept the value of x is 0. It means the y-intercept represents the amount of money owed when the number of months is 0.

In other words, the y-intercept of the model represents the original amount of loan.

Therefore the correct option is C.

Can someone pleaseee help me out

Answers

Answer:

both answers are inside

Step-by-step explanation:

70 is greater then 23 which explains why it's hotter. Absolute value is the distance from a number to 0. being 70 slots away from 0 is greater than 23 slots.

-0.00483 as a fraction

Answers

Answer:

I think this is right  483/100000

Sorry if i'm wrong

for f(x)=3x+1 and get g(x) =x2-6, find (f-g)(x)

Answers

Answer:

(f - g)(x) = (3x + 1) - (x2 - 6) = 3x + 1 - x2 + 6 = -x2 + 3x + 7

i hope this helps.

For this case we have the following functions:

[tex]f (x) = 3x + 1\\g (x) = x ^ 2-6[/tex]

We must find[tex](f-g) (x).[/tex]

By definition we have to:

[tex](f-g) (x) = f (x) -g (x)[/tex]

So:

[tex](f-g) (x) = 3x + 1- (x ^ 2-6)\\(f-g) (x) = 3x + 1-x ^ 2 + 6\\(f-g) (x) = - x ^ 2 + 3x + 6 + 1\\(f-g) (x) = - x ^ 2 + 3x + 7[/tex]

Answer:

[tex](f-g) (x) = - x ^ 2 + 3x + 7[/tex]

What is the difference of the two polynomials?
(9x2 + 8x) - (2x2 + 3x)

Answers

Answer:

7x^2+5x

Step-by-step explanation:

Given

Polynomial 1: 9x^2+8x

Polynomial 2: 2x^2+3x

We have to find subtraction of both

So,

9x^2+8x - (2x^2+3x)

First of all the brackets will be eliminated by multilying the minus sign

9x^2+8x-2x^2-3x

The terms with same power of variable will be written together

9x^2-2x^2+8x-3x

=7x^2+5x ..

Answer:

7x^2 + 5x.

Step-by-step explanation:

I just took the test and got a 100%. :)

which statement best describes a line in slope intercept form when the coefficient of the x term is negative

Answers

Answer:

The angle made by line with positive x axis is more than 90°

Step-by-step explanation:

A line is represented in slope intercept form as

y=mx+c

Where m is called the slope of the line and c is called the y intercept .

Here by slope we means the tangent of the angle , the line makes with the positive x axis .

Now in the case when the coefficient of x is negative , that means the tangent of the angle which line makes with the positive direction of x axis is negative

or

tan [tex]\theta[/tex] = negative

[tex]\theta[/tex] > 90

that means our line makes an obtuse angle that is more than 90° with the positive x axis.

Answer:

the line slants up

Step-by-step explanation:

Simplify (ignore my garbage camera quality ....)

Answers

Answer:

C. 3

Step-by-step explanation:

Given expression is:

[tex]({3^{\frac{1}{7}})^7[/tex]

We know that the rules of exponents are used to solve these kind of questions.

When there is exponent on exponent like in this question 1/7 has an exponent of 7 , the exponents are multiplied.

So,

[tex]=3^{(7*\frac{1}{7} )}[/tex]

The 7's will be cancelled out and remaining power will be 1

[tex]=3^1\\=3[/tex]

Hence, option C is correct ..

Answer:

The correct answer is option C

3

Step-by-step explanation:

Points to remember

Identities

(xᵃ)ᵇ = xᵃᵇ

(x¹/ᵃ)ᵇ = xᵃ/ᵇ

To find the correct answer

It is given that, (3¹/⁷)⁷

By using above identities we can write,

(3¹/⁷)⁷ = 3⁽¹/⁷ *⁷⁾

= 3¹

 = 3

Therefore the simplified form of  (3¹/⁷)⁷ = 3

The correct answer is option C

(3¹/⁷)⁷ = 3

The point(0,2) Is the only solution to the system of linear equations that contains the equations Y = 1/2 X +2 and y =-3X +2. Choose the term that describes a set of equations

a)dependent equations

b) inconsistent equations

C)independent equations

D) cannot be determined

Answers

Answer:

independent equations

Choice C is correct

Step-by-step explanation:

The system of linear equations that contains the equations;

Y = 1/2 X +2 and y =-3X +2 is said to be consistent since it has at least one solution;

The point (0,2)

If a consistent system of equations has exactly one solution, it is said to be independent.

Final answer:

The correct term describing a set of equations where each equation represents a different line that intersects at only one point is 'independent equations'.

Explanation:

The point (0,2) is mentioned as the only solution to the system of linear equations with equations y = 1/2x + 2 and y = -3x + 2. Since both equations have only one point of intersection, this means that the graphs of the two equations are two different lines that intersect at exactly one point. This means the system is consistent and the equations are independent, as they form two different lines.

Therefore, the term that describes a set of equations where each equation represents a straight line and they intersect at exactly one point is independent equations.

19. A school has 24 teachers. Of those teachers,
18 bought lunch today. What percent
of the teachers bought lunch today?

Answers

Answer: 75%

Step-by-step explanation:

To get the answer we will divide the amount of teachers that bought lunch by the total amount of teachers

18/24 = 75%

Answer:

75

Step-by-step explanation:

if you put it in a fraction you will get 18 over 24 and to find a percent you divided by numerator by denominator so you divide 18 by 24 and get 0.75

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