The triangle below is isosceles. Find the length of side x in simplest radical form with a rational denominator.

The Triangle Below Is Isosceles. Find The Length Of Side X In Simplest Radical Form With A Rational Denominator.

Answers

Answer 1

Solution given:

it is a right angled isosceles triangle

so

perpendicular [p]=base[b]=5

hypotenuse [h]=x

we have

by using Pythagoras law

p²+b²=h²

5²+5²=h²

50=h²

h=[tex]\sqrt{50}[/tex]

x=[tex]\bold{5\sqrt{2}}[/tex]


Related Questions

Find the domain and range of the function. Use a graphing utility to verify your results. (Enter your answers using interval notation.)

Answers

Answer:

Step-by-step explanation:

sorry it should be the second one for the interval notations

Banners at the school’s store we’re on sale for $4 off the regular price. Mike brought 5 banners on sale and paid a total of $20. Write and solve an equation to find the regular price of one banner.

Answers

Answer:

$8

Step-by-step explanation:

Let the regular price is x, then:

(x - 4)*5 = 20x - 4 = 20/5x - 4 = 4x = 4 + 4x = 8

Identify the parent function that can be used to graph the function f(x)=- 9(x + 5)2.
a. Fx) = x2
c. Fx) = x
b. Fx) = [x]
Please select the best answer from the choices provided
Ο Α
OB
Ос

Answers

Option c is correct one

not sure

Answer:

A. f(x) = x²

Step-by-step explanation:

Given function:

f(x) = - 9(x + 5)²

This is quadratic function.

The simplest form of a quadratic function is:

f(x) = x²

Correct choice is A

if √x-5 varies directly as y and x=30 when y= 2, find the value of x when y=8.​

Answers

Answer:

let,

√x-5=ky

x=30 when y=2

√30-5=2k

or, k=(√30-5)/2

now, when y=8

√x-5=8×(√30-5)/2

or, √x-5=4√30-20

or, √x=4√30-15

or, x=(4√30-15)²

or, x=47.73..

9. Find cos X. Put the fraction in simplest form.
50
X
Z
30
40

Answers

Answer:

3/5

Step-by-step explanation:

cos X = Adjacent/Hypotenuse

cos X = 30/50

= 3/5

Answer:

Answer 3/5

Step-by-step explanation:

cos(X)=XY/XZ=30/50=3/5

The divisibility rule for 7 says 10a + b is a multiple of 7 if only and only if a - 2b is a multiple of 7

Explain.

Answers

Answer:

Step-by-step explanation:

Well I can show you by example. Try 28

a = 2

b = 8

2 - 2*8 = 2 - 16 = -14

- 14 is divisible by 7. You get - 2.

That means that 28 is also divisible by 8

We'll try one more. Try 56

a = 5

b = 6

5 - 2*6 = 5 - 12 = - 7

- 7 is divisible by 7 so 56 must be as well. What I'm wondering is if the rule in some form works for 735 and if it does how?

a = 73

b = 5

73 - 10 = 63

63 is divisible by 7 (giving 9)

so 10*73 + b is divisible by 7.

Try something a bit harder.

115444

a = 11544

b = 4

a - 2*4

11544 - 8

11536 / 7

1648 which works perfectly.

115444 is divisible by 28 which is a multiple of 7

Really amazing! Thanks for posting.

If a quadratic equation is written in intercept form, y = (x-3)(x+5), then vertex is at...

Answers

Answer:

The vertex is at (-1, -16).

Step-by-step explanation:

We are given the quadratic equation:

[tex]y = (x-3)(x+5)[/tex]

And we want to find its vertex.

Recall that the x-coordinate of the vertex is also the axis of symmetry. Since a parabola is symmetric about the axis of symmetry, the axis of symmetry is halfway between the two roots.

From the equation, we can see that our two roots are x = 3 and x = -5.

Hence, the axis of symmetry or the x-coordinate of the vertex is:

[tex]\displaystyle x = \frac{(3) + (-5)}{2} = -1[/tex]

To find the y-coordinate of the vertex, evaluate the equation at x = -1:

[tex]\displaystyle \begin{aligned} y(-1) &= ((-1)-3)((-1)+5)\\ &= (-4)(4) \\&= -16\end{aligned}[/tex]

Hence, the vertex is at (-1, -16).

James defines an angle as "a figure consisting of two rays." His statement is not precise enough because he should specify that

the rays must be collinear
the rays must form a right angle
the rays must have a common endpoint
the rays must continue in one direction forever

Statement: If two noncollinear rays join at a common endpoint, then an angle is created. Which geometry term does the statement represent?

Defined term
Postulate
Theorem
Undefined term

Answers

James should define that the rays must be collinear. the two rays coming from the same point will form collinear rays which will form an angle at end point.

The statement of james should be precise in order to clearly explain the angle formation.

The two non collinear rays will form an angle at end point where they meet with each other.

The defined vertex will form the appropriate angle. there should be defined term for the non collinear rays.

Learn more at https://brainly.com/question/24373158

1: The rays must have a common endpoint

2: Defined term

I took the test and got both right :))

BRAINLIEST

HOW CAN POSTULATES AND THEOREMS RELATING TO SIMILAR AND CONGRUENT ANGLES BE USED TO WRITE A PROOF?

Answers

Answer:

How can postulates and theorems relating to similar and congruent triangles be used to write a proof? If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar. ... If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar.

Step-by-step explanation:

Hope this helps :D good luck!!

Express in terms of power =(3x) ×(3x)× (3x)× (3x)

Answers

Answer:

3x^4

Step-by-step explanation:

3x • 3x • 3x • 3x = 3x^4

said like “3x to the 4th power”

Answer:

[tex](3x)^4}[/tex]

Step-by-step explanation:

further it can represent as [tex]3^{4} x^{4}[/tex]

What is the solution, if any, to the inequality |3x|20?
all real numbers
solution
no
x>0
x

Answers

Answer:

20×2=40bnmcsshjvghjpiutewqadgjlmbcz

Answer: all real numbers

Step-by-step explanation:

In January Mr.Tan's students read 20 books. In February, they read 15 books. What is the percent increase or decrease in the number of books the read?

Answers

Answer:

there is a 25% decrease in books being read

Andre ran 512 laps of a track in 8 minutes at a constant speed. It took Andre x minutes to run each lap. Select all the equations that represent this situation.

Answers

Answer:

(512)x=8 and 512−x=8

Step-by-step explanation:

Please help with my math homework

Answers

Answer:

Down here:

Step-by-step explanation:

a. 1 , 3 , 9 , 27 , 81, 243, 729

rule, multiply by 3

b. 8, 7, 9, 8, 10, 9, 11, 10, 12

rule, -1 then +2

c. 100, 50, 25, 12.5, 6.25, 3.125

rule, divide by 2

d. 1, 4, 9, 16, 25, 36, 49

rule +3, +5, +7, +9, +11.....

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

please help me Find DE.

Answers

Answer:

DE = 11

Step-by-step explanation:

DF = DF +EF

4x+2 = x+7 + 7

Combine like terms

4x+2 = x+14

Subtract x from each side

4x+2-x = x+14-x

3x+2 = 14

Subtract 2 from each side

3x+2-2 =14-2

3x=12

Divide by 3

3x/3 = 12/3

x = 4

DE = x+7 = 4+7 =11

Answer:

DE is 11

Step-by-step explanation:

[tex]DE = DF - EF \\ DE = (4x + 2) - 7 \\DE = 4x - 5 [/tex]

But for x:

[tex]4x + 2 = (x + 7) + 7 \\ 4x + 2 = x + 14 \\ 3x = 12 \\ x = 4[/tex]

Therefore:

[tex]DE = (4 \times 4) - 5 \\ = 16 - 5 \\ = 11[/tex]

Help me with these questions plz

Answers

Answer:

Step-by-step explanation:

2) Cost Price = CP = $ 35

Tax = $ 3.29

Tax percent = [tex]\frac{tax}{CP}*100[/tex]

                    [tex]= \frac{3.29}{35}*100\\\\[/tex]

                    = 9.4 %

Total amount paid by Ian = CP + tax = 35 + 3.29

                                          = $ 38.29

3) Price of the order = $ 56.50

Shipping cost % = 3 % = 0.03

Shipping cost = price of the order * shipping cost %

                       =  56.5 * 0.03

                       =  1.695

                       = $ 1.70

Total cost = Price of the order + Shipping cost

                = 56.5 + 1.70

                = $ 58.20

4) Bill amount = $ 26

Tip % = 18%

Tip amount = Tip % * bill amount

                   [tex]= \frac{18}{100}*26\\[/tex]

                   = $ 4.68

5) commission% = 3.5 %

Commission amount = commission% * Sales

                                   [tex]= \frac{3.5}{100}*50000[/tex]

                                  = $ 1750

Base salary for a week  = $400

Base salary  for two weeks = 400 * 2 = $ 800

Emmett's earning for this two weeks period = Base salary for two weeks + commission

= 800 + 1750

= $ 2550

6) Tax % = 10.25 %

Purchase amount = $ 310.50

Tax = Tax% * Purchase amount

      [tex]= \frac{10.25}{100}*310.50[/tex]

      = $ 31.83

Total = Purchase amount  + Tax

         = 310.50+ 31.83

         = $ 342.33

WILL GIVE BRAINLIEST:
Elanor wants to estimate the number of frogs in a reservoir.
She catches 90 frogs from the reservoir and marks them with a non-harmful dye.
Elanor then returns the frogs to the reservoir.
The next day she catches another 70 frogs and 10 of these are marked with the dye.
Work out an estimate for the total number of frogs in the reservoir.

Answers

Answer:

approximately 150 frogs

Step-by-step explanation:

To find your estimate, you have to add 90 + 60 because from the 70 that Elanor caught the second day, 10 of them were the ones that she had caught the day before so you have to do 70 - 10 = 60. Therefore, 90 + 60 = 150 estimated frogs.

f(x)=-4+7, what is f(2)

Answers

Answer:

3

Step-by-step explanation:

7-4

56 is less than the square of 10 ​

Answers

Let X be the positive number.

From the given condition, we get X = X^2–56

=> X^2-X-56=0

Factorizing the above equation,

=> X^2–8X+7X-56=0

X(X-8)+7(X-8)=0

(X-8)(X+7)=0

X=8 or -7

Since it is said the number is positive. Our output number will be 7

56 = h/9
k/5 - 10 = 3
3t + 5 =2

Answers

Answer:

h = 504, k = 65, t = -1

Step-by-step explanation:

56 = h/9

h = 56 x 9

h = 504

k/5 - 10 = 3

k/5 = 3 + 10

k/5 = 13

k = 13 x 5

k = 65

3t + 5 = 2

3t = 2 - 5

3t = -3

t = -3/3

t = -1

What is his weekly allowance if he ended with $15?

Answers

3 dollars a day would be the answer i bel bye
3 dollars I believe

28. find the range…
please help!!!

Answers

Answer:

A

Step-by-step explanation:

lm‎ao this problem is b‎u‎l‎ls‎h‎‎‎i‎t because the actual answer would be [2, 2] U (7, infty) but thats literally not there, so ig the closest one would be [2, infty) which is A

if it was asking for the domain on the other hand, then it would be B lm‎ao

but I would go with A

Find the surface area of the
triangular prism.
7 cm
66 cm
7 cm
cm
5 cm
[?] sq cm
Enter

Answers

Answer:

169 sq cm

Step-by-step explanation:

HELP ASAP ILL GIVE BRAINLIST

t/f Elimination will give you an exact answer to a system of equations.

t/f If substituting the test point produces a false solution, we shade on the opposite side of the line.

Answers

Answer:

TRUE Elimination will give you an exact answer to a system of equations.

FALSE If substituting the test point produces a false solution, we shade on the opposite side of the line.

what is the bionomial expansion of (x-1y)^2​

Answers

Answer:

[tex] {(x - y)}^{2} \\ = (x - y)(x - y)[/tex]

open the brackets:

[tex] = ( {x}^{2} - xy - xy + {y}^{2} ) \\ = {x}^{2} - 2xy + {y}^{2} [/tex]

In a right angle triangle ABC angle B=90⁰ and AB+BC= 31cm AB-BC=17 cm the find sinA,cosA,sinC,cosC.​

Answers

Answer:

see explanation

Step-by-step explanation:

Given

AB + BC = 31

AB - BC = 17

Add the 2 equations

2AB = 48 ( divide both sides by 2 )

AB = 24

Substitute AB = 24 into the first equation

24 + BC = 31 ( subtract 24 from both sides )

BC = 7

Using Pythagoras' identity to find the hypotenuse AC

AC² = AB² + BC² = 24² + 7² = 576 + 49 = 625 ( take square root of both sides )

AC = [tex]\sqrt{625}[/tex] = 25

Then

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{7}{25}[/tex]

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{24}{25}[/tex]

sinC = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{24}{25}[/tex]

cosC = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{7}{25}[/tex]


Write down a decimal that is more than 7/11 and less than 7/9
will award brainiest!!

Answers

Answer:

0.7

Step-by-step explanation:

7/11 = 0.63636363

7/9 = 0.777777778

so a decimal between them will be, 7/10 = 0.7

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!

Answers

Answer:

Value of tan( π/3 ):

[tex]{ \tt{ \frac{\pi}{3} = \frac{180}{3} = 60 \degree }}[/tex]

60° lies within the first quadrant.

[tex]{ \sf{ \tan( \frac{ \pi}{3} ) = ( \frac{1}{2} , \: \frac{ \sqrt{3} }{2}) }}[/tex]

Since it's a half:

[tex]{ \boxed{ \sf{ \tan( \frac{\pi}{3} ) = \sqrt{3} }}}[/tex]

Length of hypotenuse:

[tex]{ \bf{ \sin(31 \degree) = \frac{16.5}{h} }} \\ { \sf{h = 32.04}}[/tex]

Hypotenuse = 32.0

The number n is doubled and then has y added to it. The result is then divided by 2 and has the number n subtracted from it, the final result is

Answers

Answer:

[tex]\frac{y}{2}[/tex]

Step-by-step explanation:

n is doubled: 2n

y added: 2n + y

divided by 2: n + [tex]\frac{y}{2}[/tex]

n subtracted -> final resutl: [tex]\frac{y}{2}[/tex]

Find the area of the circle.
Use 3.14 for it. Do not round your answer.
Hint: A = Tira
14 inches
Area = [?] inches?
Enter the number that
belongs in the green box.

Answers

Use the formula given. R is half the diameter

R = 14/2 = 7 inches.

Area = 3.14 x 7^2

Area = 153.86 inches^2

Answer:

Does the answer help you?

Other Questions
Briefly describe how the aneroid barometer Works If the book value per share is $40 and the market price is 52.50 per share calculate the required rate of return on the stock. Isabella saved $13,000 and bought a car that cost $11,675. The insurance for the car will cost $650 per year. How many full years will Isabella be able to pay for car insurance with her remaining savings? 6. Find x and y plz help measures that can unite all the ethnic groups in Ghana phong tro cn Vng din ra nm no Two long, straight wires are separated by 0.120 m. The wires carry currents of 11 A in opposite directions, as the drawing indicates. Find the magnitude of the net magnetic field. Why do humans often act in ways that disturb the natural services of the environment? Write one functions of seed. Sandy used these rules to write a 6-digit number. 3 in the tens place 6 in the hundreds place1 in the thousands place 8 in the ten thousands place4 in the ones place 2 in the hundred thousands place.What number did she write?A. 281,634B. 361.842C. 681,234D. 864,321 a. 8b. 9c. 7d. 6 |x|+|x+1|+|x+2|+|x+3|+...+|x+2021=2021x Which characteristic of a dog is inherited? Barking Doing tricks Walking on a leash Whining for food how does olivia view love in twelfth night 5. One of the reasons I didn't phone you was that I was very busy.If... Determine whether each of the examples represents a colligative property or a non-colligative property. boiling point elevation Choose... color Choose... freezing point depression Choose... vapor pressure lowering Choose... density Choose... Which of the following pathways is most likely to be active in the adipocytes of a person with untreated type 1 diabetes?a. fatty acid synthesisb. glycogenolysisc. glycolysisd. lipolysis She would have passed if she _____________ hard . ( studies, had studied, studied) This shape is made of four congruent kites meeting at a point. Calculate the size of Angle K. the set is points indicated by 12.is the ___ of the angle