find the value of x

Find The Value Of X

Answers

Answer 1

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{11 + x}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{17}\\ \end{cases}\implies (11+x)^2=x^2+17^2 \\\\\\ (11+x)(11+x)=x^2+17^2\implies \stackrel{F~O~I~L}{121+22x+x^2}~~ = ~~x^2+289 \\\\\\ 121+22x=289\implies 22x=168\implies x=\cfrac{168}{22}\implies x=\cfrac{84}{11}\implies x=7\frac{7}{11}[/tex]


Related Questions

1) on a test suzy has a diagram of a regular prism and pyramid. both have a height of 4 inches, both have square bases with the side lengths of 6 inches, and the pyramid has a slant height of 5 inches. which shape has the larger surface area? a) they have the same surface area. b) the prism does by 72 square inches. c) the pyramid does by 72 square inches. d) there is not enough information to determine the surface area.

Answers

The Prism has a larger surface area than the pyramid.

What is area?

Area is the amount of space occupied by a two dimensional shape or object.

Surface area of Prism = 2 * base area + 4(base length)(height)

Surface area of Prism = 2(6 * 6) + 4(6)(4) = 168 in²

Surface area of pyramid = (base area) + 2(base length)(slant height)

Surface area of pyramid = (6 * 6) + 2(6)(5) = 96 in²

The Prism has a larger surface area than the pyramid.

Find out more on area at: https://brainly.com/question/25292087

help 1 hour left please

Answers

Answer: 110 degrees

Step-by-step explanation:

Please help answer the attached question

Answers

Answer:

angle BCD = 108

Step-by-step explanation:

opposite angles in a cyclic quadrilateral add to 180

so angle BDC is 180 - 72 = 108

what are the angles 32 and 114 there for??

Part A
Find the website for your state’s department of motor vehicles (DMV). Investigate the minimum coverage requirements established by your state, and list these coverage requirements:

Injury or death to one person
Injury or death to more than one person
Damage to property

Answers

California  often  needs the following minimum insurance coverage:

That is $15000 for any kind of bodily Injury or death to one person.That is $30000 for any kind of bodily $30,000 for injury or death to more than one person.That is $5000 for any form of property damage liability.What does minimum mean?

The phrase minimum coverage in terms of car insurance policy is known to be the bodily injury liability and property damage liability that one has to cover.  

It is known to often differ per state. Note that all the minimum coverage requirements above are paid by the person who cause the accident.

Learn more about minimum coverage from

https://brainly.com/question/4539405

5 × 1 1/4
Do you know the answer?

Answers

The answer should be 6 1/4 :)
(If you’re looking for a decimal it’s 6.25)

Answer:

6 1/2 (mixed) or 25/4 (improper)

Step-by-step explanation:

Firstly, I made the mixed number an improper fraction; 5/4

Then I did the equation;

5/1 x 5/4 = 25/4

25/4 is 6.25 when divided, then made it a fraction; 6 1/4

Hope this helps!

The cost price of 12 candles is equal to the sellering price of 15 candles. Find the loss percent.

Answers

Answer: Let SP of 15 candles = Rs.100. CP of 12 candles = SP of 15 candles = Rs.100 CP of 15 candles = = Rs.125 Loss = CP – SP = 125 – 100 = 25 = 20% 10.

Step-by-step explanation: This was a simple answer also CP means sale price

what is c² + 6c - 6 if c = 4?

Answers

Answer:

34

Step-by-step explanation:

In order to solve this problem, you would have to plug-in 4 in letter c.

So the equation would go from:

c² + 6c - 6 to

(4)² + 6(4) - 6

4 to the square power is 16

6 times 4 is 24

So you would write this equation next
16 + 24 - 6

after adding and subtracting you should get 34 as your final answer.

Hope this helps!

SIDE NOTE: REMEMBER TO FOLLOW THE RULES OF PEMDAS WHEN ANSWERING THESE PROBLEMS!

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Answer:

34

Step-by-step explanation:

In order to solve the equation, all you would have to do is substitute your answer by the number given. It would look something like this:

(4)^2+6(4)-6

Remember to follow PEMDAS when solving it.

(4)^2 --> 4*4=16

6(4)=24

16+24-6=34

So, your final answer would be 34.

I
For each of the following functions find f(-x) and -f(x), then determine whether it
is even, odd or neither. Justify your answer.
f(x)=x^3-7/x
f(x)=|-x|
f(x)=25-x^3
f(x)=72-x^4

Answers

By using the definition of even and odd functions, we will see that:

a) oddb) even.c) neitherd) even.What is an odd and an even function?

A function f(x) is even if:

f(x) = f(-x)

And the function is odd if:

f(-x) = -f(x).

Now let's check it for all the given functions.

a) f(x) = x^3 - 7/x

-f(x) = -x^3 + 7/xf(-x) = (-x)^3 - 7/(-x) = -x^3 + 7/x

So this function is odd.

b)  f(x) = |-x|

-f(x) = -|-x|f(-x) = |-(-x)| = |x| = |-x|

This function is even.

c) f(x)=25-x^3

-f(x) = -25 + x^3f(-x) = 25 - (-x)^3 = 25 + x^3

This function is neither odd nor even.

d) f(x) = 72-x^4

-f(x) = -72 + x^4f(-x) = 72 - (-x)^4 = 72 - x^4 = f(x)

This function is even.

If you want to learn more about odd and even functions, you can read:

https://brainly.com/question/2284364

What heat transfer is Christmas lights radiation or convention or conduction

Answers

Answer:

The heat from the sun or heat released from the filament of a light bulb is the example of radiation.

Jake opens a credit card with 18% annual interest compounded monthly. If he charges $800 on the card and never pays it off, how much will he owe the credit card company in 2
years? Round to the nearest cent.

Answers

Answer:  $1,143.60

Work Shown:

A = P*(1+r/n)^(n*t)

A = 800*(1+0.18/12)^(12*2)

A = 1,143.60224954321

A = 1,143.60

Notes:

P = 800 is the principal. It is the amount loaned to Jake.r = 0.18 is the decimal form of the 18% interest raten = 12 because we're compounding monthly, i.e. 12 times a yeart = 2 = number of yearsFor more information, check out the compound interest formula.

Each square below represents one whole

Answers

Answer:

52.

Step-by-step explanation:

shaded = (3²) + (2²)

shaded = 9 + 4

shaded = 13

Unshaded = (3 x 2) + (2 x 3)

Unshaded = 6 + 6

Unshaded = 12

All = 12 + 13

All = 25

100 / 25 = 4

4 x 13 = 26 x 2

26 x 2 = 52.

Answer:

48%

Step-by-step explanation:

25 total boxes

12 are filled

12/25=48%


[tex]89 + 96[/tex]
please help me how to solve this ​

Answers

Rewrite as ;

[tex]{:\implies \quad \sf (80+9)+(80+16)}[/tex]

[tex]{:\implies \quad \sf (80+80)+(9+16)}[/tex]

[tex]{:\implies \quad \sf 2(80)+(25)}[/tex]

[tex]{:\implies \quad \sf 160+25}[/tex]

[tex]{:\implies \quad \boxed{\bf 185}}[/tex]

if (3/8)/(2/3)=(3/8)*(3/x), then x= ?

Answers

Answer:

[tex]\fbox{x=4.5}[/tex]

Step-by-step explanation:

[tex] \frac{ \frac{3}{8}}{ \frac{2}{3} } = \frac{ \frac{3}{8}}{ \frac{3}{x} } [/tex]

Multiplying LHS & RHS with 3/8,

[tex]\frac{1}{\frac{2}{3}} = \frac{1}{\frac{3}{x}}[/tex]

Taking reciprocal both the side,

[tex] \frac{3}{2} = \frac{x}{3} [/tex]

Cross multiplying and dividing,

[tex]9 = 2x \\ x= \frac{9}{2} \\ x= 4.5[/tex]

[tex]\fbox{x=4.5}[/tex]

Thanks for joining brainly community!

The swimming pool shown below has a 6 foot wide concrete deck around it.

What is the area, in square feet, of the deck around the pool?
O512
O720
O864
O1232

Answers

Answer:

0864

Step-by-step explanation:

The answer is 0864.

Hope it helps!

Study well!

Help me In this question it’s urgent

Answers

Answer:

CD = 13.75

Step-by-step explanation:

Focus on only half of the rectangle as a triangle

We'll use pythagorean theorem to find the unknown side

[tex]10^{2} +CD^{2}=17^{2}\\CD^{2} = (17^{2} - 10^{2})\\CD^{2}=\sqrt{189} \\CD = 13.75[/tex]

what is the way to find inverse of matrix?​

Answers

Formula for inverse of matrix:

matrix              →           inverse matrix

[tex]A = \bold{ \sf { \begin{pmatrix}a&b\\ c&d\end{pmatrix} \ \ \ \rightarrow \ \ A^{-1} = \dfrac{1}{(ad-bc)} \begin{pmatrix}d&-b\\ -c&a\end{pmatrix} }}[/tex]

need help will give the brainlest

Answers

Answer:

should be 4L

Step-by-step explanation:

there is 4 cups with 1L of water in them so you add them up to get the total amount .

Answer:

4 Liters

Step-by-step explanation:

1. Create Equation

1L+1L+1L+1L

2. Solve

1L+1L+1L+1L

1+1+1+1

2+1+1

2+2

4

3. Check

1+1+1+1=4

2+2=4

4=4

Correct

4. Answer

4L

NEED ANSWERS QUICKLY! CORRECT ANSWER GETS BRAINLIEST
Write a division problem with 1/3 as the dividend and 3 as the divisor. Then find the quotient.

Answers

Answer:

1/9

Step-by-step explanation:

1/3 x 1/3 =1/9

so

1/3 divided by 1/3 is 1/9

25
Which equation best represents the relationship between x and y in the graph?
Y
9
S
2
5
4
3
2
1
-2
3
Ay=-4-3
4
3
BY--x-3
c y = - 8x - 4
D y = - 3X -4
Cy
7X
Dy=-31
*

Answers

Answer:

-3/4 x -3

Step-by-step explanation:

Put all Answer choice on graph:

-3/4 x -3

-4/3 x - 3

-3/4 x -4

Base on the graphs below:

we can see that -3/4 x -3 is the best represents..

~Lenvy~

Y+1.27=7.23 solve for y

Answers

Answer:

y=5.96

Step-by-step explanation:

You can do a reverse equation and do 7.23 - 1.27 = 5.96

What is the solution to the equation t minus 15 = 76?
t minus 15 = 76. t minus 15 minus 15 = 76 + 15. t = 91.

t minus 15 = 76. t minus 15 + 15 = 76 + 15. t = 91.

t minus 15 = 76. t minus 15 minus 15 = 76 minus 15. t = 61.

t minus 15 = 76. t minus 15 + 15 = 76 minus 15. t = 61.

Answers

Answer:

4. / D.

Step-by-step explanation:

[tex]t-15=76\\t=76-15\\t=61[/tex]

Answer:

The answer is B

Step-by-step explanation:

I got it right

:-)

Skyler is buying a new laptop on layaway for $275; If she pays $55 each week, how many weeks will it take Skyler to pay for the new laptop

Answers

he makes the minimum payment of $15 each month, it will take him 26 months

Two times an integer minus 95 is equal to that integer divided by 6.​

Answers

I don’t even know bro

Why every values in maths has an approximation ?

( Example : The value of π,... )

Answers

Answer:

Approximating has always been an important process in the experimental sciences and engineering, in part because it is impossible to make perfectly accurate measurements. Approximation also arises because some numbers can never be expressed completely in decimal notation. In these cases approximations are used.

Answer:

Approximating has always been an important process in the experimental sciences and engineering, in part because it is impossible to make perfectly accurate measurements. Approximation also arises because some numbers can never be expressed completely in decimal notation. In these cases approximations are used.

Step-by-step explanation:

Why is x^2+9 not able to be factored?

Answers

The expression x^2 + 9 is an algebraic expression

x^2 + 9 cannot be factored because it is not a difference of two squares

How to determine why the expression cannot be factored?

The expression is given as:

x^2 + 9

Express 9 as the square of 3

x^2 + 3^2

The above expression is not a difference of two squares

Hence, x^2 + 9 cannot be factored because it is not a difference of two squares

Read more about factored expressions at:

https://brainly.com/question/723406

If one side of a square is 12 inches, what is the perimeter and area of the parallelogram?

Answers

Answer:

P = 48in

Step-by-step explanation:

P=4a=4·12=48in

How many feet are in 1 yard?​

Answers

how many feet are in one yard?

=3 feet

Answer:

3 Feet

Step-by-step explanation:

Let $a_1 a_2 a_3 \dotsb a_{10}$ be a regular polygon. A rotation centered at $a_1$ with an angle of $\alpha$ takes $a_4$ to $a_8$. Given that $\alpha < 180^\circ$, find $\alpha,$ in degrees

Answers

Answer:

  72°

Step-by-step explanation:

The required angle of rotation can be found by considering the regular polygon to be inscribed in a circle. Each of its 10 vertices will be separated by a central angle of 360°/10 = 36°. So, the vertices a8 and a4 will be separated by a central angle of (8 -4)(36°) = 144°.

The angle a4-a1-a8 is an inscribed angle, so will have half the measure of the central angle intercepting the a4-a8 arc. The desired angle of rotation to map a4 to a8 is ...

  α = 144°/2 = 72°

The value of angle α is 72° if the regular polygon is inscribed in a circle and rotation centered at a_1

What is a regular polygon?

A polygon is a geometric figure with a finite number of sides in two dimensions. A polygon's sides or edges are made up of straight-line segments that are joined end to end to form a closed shape. The vertices or corners are the points where two line segments meet, and an angle is generated as a result.

Consider the regular polygon to be inscribed in a circle to get the required angle of rotation.

A center angle of 360°

=360°/10 = 36°

It will separate each of its 10 vertices.

The central angle:

= (8 - 4)×(36°) = 144°

An inscribed angle is a4-a1-a8:

So α will be:

α = 144/2 ⇒ 72°

Thus, the value of angle α is 72° if the regular polygon is inscribed in a circle and rotation centered at a_1

Learn more about the regular polygon here:

https://brainly.com/question/11810316

#SPJ4

32. Michelle invested $10,000 in an account that earns 8.5% interest that is compounded monthly. Write an exponential model for the balance of the account, then determine the amount of money in the account in 15 years. Answer: Equation:​

Answers

Answer:

$25,626.53

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 8.5% into a decimal:

8.5% ->  -> 0.085

Now lets plug in the values into the equation

Lastly, subtract the total from the initial balance:

Michelle earned $25,626.53 in interest.

What is the general equation of a sine function with an amplitude of 2, a period of Pi and a horizontal shift of Pi units? y = 2 sine (2 (x minus pi)) y = 2 sine (4 (x pi)) y = sine (0. 5 (x minus pi)) y = sine (2 (x pi)).

Answers

The general equation of the sine function is [tex]\rm y= 2sin(2(x-\pi)[/tex]. The sine and cosine of an acute angle are utilized to find the angle of the triangle.

What is sin function?

The sine and cosine of an angle are trigonometric functions. In the context of a right triangle, the sine and cosine of an acute angle are used to find the angle of the triangle.

The standard general equation of a sine function is given as;

[tex]\rm y= AsinB(x-C)+D[/tex]

Where A denotes the amplitude, B is the frequency, D is the vertical shift and  C is the phase shift.

The given data in the problem is;

A is the amplitude= 2

B is the frequency=2

D is the vertical shift =0

C is the phase shift.=[tex]\pi[/tex]

The general equation is found as;

[tex]\rm y= 2sin(2(x-\pi)[/tex]

Hence the general equation of the sine function is [tex]\rm y= 2sin(2(x-\pi)[/tex].

To learn more about the sin function refer to the link;

https://brainly.com/question/6826226

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