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

Hi

as the triangle is rectangle   isoceles, then the  three side are  :  

x , x , 6  where 6 is the  hypotenuse.  

So using pythagoras theorem we know that  :    x²+x² = 6²

                                                                                2x² = 36

                                                                                  x² = 36/2

                                                                                  x² = 18

                                                                                   x = √18


Related Questions

Susan wants to buy cherries for a party. She has $8.00 to spend. Cherries are $2.75/kg. How many kilograms of cherries can Susan buy? Round to the nearest tenth. Use complete sentences to describe how you would solve this question. Be sure to explain how you round the answer.

Answers

Answer: you would have to divide $8.00/$2.75 and it would equal $2.90

Step-by-step explanation: This may help and if it does please thank me in the comments.

Answer:

Susan can purchase 2.9 kg of cherries.

Step-by-step explanation:

We need to take the amount of money available and divide by the cost of cherries per kilogram

$8.00 / $2.75  per kg

2.909090909 kg

Rounding to the nearest tenth, the solution is 2.9 kg

Susan can purchase 2.9 kg of cherries.

This event is independent, true or false?



There are eight shirts in your closet, four blue and four green. You randomly select one to wear on Monday and then a different one on Tuesday.

Answers

Answer:

False

Step-by-step explanation:

Because the question says you pick a different shirt on Tuesday than on Monday, that means you have one less shirt you can select, so the event is dependent.

Is it true or false that this is the graph of f(x) = 3^x?

Answers

Answer: False, this is not the graph of f(x) = 3^x

=====================================================

Explanation:

Plug in x = 0 to get

f(x) = 3^x

f(0) = 3^0

f(0) = 1

That means (0,1) is on the graph. So far so good.

-------

But let's try x = 1

f(x) = 3^x

f(1) = 3^1

f(1) = 3

Meaning (1,3) should be on the graph of y = 3^x. Instead, the graph shows (1,4) is on the red curve. We don't have a match.

The red curve shows the equation y = 4^x.


The volume of a sphere is * cubic centimeters. What is the radius?

Answers

Answer:

Given volume= 32/3 π

Now, we know that volume of sphere = 4/3 π r³ according to the question.

[tex]\frac{4}{3} \pi r^{3} =\frac{32}{3} \pi[/tex]

Both π and 3 are canceled from both sides

Now,

[tex]4r^{2} =32[/tex]

Divide both sides by 4

[tex]r^{3} =\frac{32}{4} =8[/tex]

[tex]r^{3} =8[/tex]

[tex]r=(8)^{1/3} =(2\times 2 \times 2)^{1/3}[/tex]

[tex]r=(2^{3} )^{1/3} =2^{3\times1/3}[/tex]

[tex]r=2 \; cm[/tex]

Radius of sphere = 2 cm

OAmalOHopeO

Which expressions are factors of the quadratic function represented by this graph?
A. x and (x+6)
B. (x-6) and (x+6)
C. x and (x-6)
D. x and -6x

Answers

Answer:

C. [tex]x[/tex] and $(x-6)$

Step-by-step explanation:

The roots of the quadratic equation are $0$ and $6$.

Hence the equation is $(x-0)(x-6)=x(x-6)$

Answer:

See below

Step-by-step explanation:

Pls help answer, also explain. I will give brainliest

Answers

Answer:

8 lb box

Step-by-step explanation:

Find which laundry detergent has a lower unit price

The unit price is how much something costs for a single unit

In this case, it is how much the detergent costs for 1 pound

7.4/8 lbs = 0.925 dollars per lb

5.38/4 lbs = 1.345 dollars per lb

Since 1.345 > 0.925, the 8 lb box is a better buy

Case 1

Cost of 8 pound detergent = $7.40

So, cost of 1 pound detergent

= $7.40 ÷ 8

= $0.925

Case 2

Cost of 8 pound detergent = $5.38

So, cost of 1 pound detergent

= $5.38 ÷ 4

= $1.345

$0.925 < $1.345

$0.925 < $1.345So, cost per pound in 8 pound box < cost per pound in 4 pound box

So, buying the 8 pound box is better.

If you have to invest in an account that pays 5.3 compound annually, after 10 years how much interest is earned

Answers

Rate=5.3 per year Time=10

[tex]\\ \sf\longmapsto Interest=Rate\times Time[/tex]

[tex]\\ \sf\longmapsto Interest=5.3(10)[/tex]

[tex]\\ \sf\longmapsto Interest =53[/tex]

It means that if your principal is $100 after 10years you will receive $53 as interest

Step-by-step explanation:

[tex]thank \: you[/tex]

The slope of the line whose equation is x + y = 6 is: -1 1 6

Answers

Answer:

the slope of the line x+y = 6 is -1.

Step-by-step explanation:

slope = - coefficient of x

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

coefficient of y

slope = -1 /1

slope = -1

Answer:

A: -1

Step-by-step explanation:

STAT question please help me TT

Answers

Answer:

C

because if you arrange orderly ie in an ascending order or a descending order,the middle number is the median and median means average

how do I answer these questions?

Answers

Answer:

cross multiplication would be the quickest technique that works to visualize this set of questions..

if [tex]\frac{a}{b} = \frac{c}{d}[/tex]  then ad = bc

each item that does not have a denominator add a "1" as the denominator

so first item... [tex]\frac{sin(50)}{1} = \frac{x}{4}[/tex]  

[tex]\frac{4 * sin(50) }{1} = x[/tex]     x = [tex]4\sin \left(50^{\circ \:}\right)=3.06417\dots[/tex]

#b) [tex]3\tan \left(81^{\circ \:}\right)=18.94125[/tex]

#c) [tex]6\cos \left(33^{\circ \:}\right)=5.03202[/tex]

.

.

#g)[tex]7.1\tan \left(18.4^{\circ \:}\right)=2.36185[/tex]

Step-by-step explanation:

Answer:

First we extract the sin or the tan according to the question and multiply the number with the denominator and extract the x .

a)

[tex] \sin(50) = \frac{x}{4} \\ 0.766 = \frac{x}{4} \\ x = 3.06[/tex]

b)

[tex] \tan(81) = \frac{x}{3} \\ 6.31 = \frac{x}{3} \\ x = 18.93[/tex]

C)

[tex] \cos(33) = \frac{x}{6} \\ 0.83 = \frac{x}{6} \\ x = 0.83 \times 6 \\ x = 4.98[/tex]

d)

[tex] \cos(75 ) = \frac{x}{3.5} \\ 0.258 = \frac{x}{3.5} \\ x = 0.2588 \times 3.5 \\ x = 0.90[/tex]

e)

[tex] \sin(24) = \frac{x}{4.2} \\ 0.406 = \frac{x}{4.2} \\ x = 0.406 \times 4.2 \\ x = 1.70 [/tex]

f)

[tex] \tan(42) = \frac{x}{10} \\ 0.9 = \frac{x}{10} \\ x = 9[/tex]

g)

[tex] \frac{x}{7.1} = \tan(18.4) \\ \frac{x}{7.1} = 0.33 \\ x = 0.33 \times 7.1 \\ x = 2.34[/tex]

h)

[tex] \frac{x}{5.3} = \sin(64.7) \\ \frac{x}{5.3} = 0.9 \\ x = 4.77[/tex]

i)

[tex] \frac{x}{12.6} = \cos(52.9) \\ \frac{x}{12.6} = 0.6 \\ x = 0.6 \times 12.6 \\ x = 7.56[/tex]

I hope I helped you^_^

Segment overline BD bisects angle ABC . Solve for Round to the nearest tenth, if necessary (Image not necessarily to scale.)

Answers

Answer:

Hello,

Answer 52/3

Step-by-step explanation:

using the theorem of the bissector :

[tex]\dfrac{x}{13} =\dfrac{20}{15 } \\\\x=\dfrac{20*13}{15} \\\\x=\dfrac{52}{3}[/tex]

The value of x to the nearest tenth is 18.5

Pythagoras theorem

To get the value of x, we first need to get the height of the triangle.

[tex]h^2=20^2-15^2\\h^2=400-225\\h^2=175\\h=13.23[/tex]

Next is to get the value of x

[tex]x^2=13^2+13.2^2\\x^2=343.24\\x=18.52[/tex]

Hence the value of x to the nearest tenth is 18.5

Learn more on pythagoras theorem: https://brainly.com/question/343682

Let f(x)=logx. What is the average rate of change of f(x) from 2 to 3? Round to the nearest hundredth.

Answers

Answer:

Below

Step-by-step explanation:

Let m be the average rate of change.

● m = (f(3)-f(2)) / 3-2

● m = ( log3 - log2) / 1

● m = 0.176

Round it to the nearest tenth

● m = 0.18

factorize 49 - d² plz​

Answers

Answer:

(7-d)(7+d)

Step-by-step explanation:

49 - d^2

Rewriting

7^2 - d^2

We know that a^2 - b^2 = (a-b)(a+b)

(7-d)(7+d)

The answer you are looking for is -(d+7)(d-7).

Drag the labels to the correct locations on the table. Each label can be used more than once.
Match each function to all of the function types it belongs to.
Linear
Quadratic
Exponential
Polynomial
f(x) = 2x + 3
f(x) = x2 + 2x - 3
f(x) = 3* - 2

Answers

Answer:

Linear f(x) = 2·x + 3

Quadratic f(x) = x² + 2·x - 3

Exponential f(x) = 3ˣ - 2

Step-by-step explanation:

1) Linear function

The general form of the linear equation is of the form, f(x) = y = m·x + c

Where;

m = The slope

c = y-intercept (Constant)

The linear function is therefore, f(x) = 2·x + 3

2) Quadratic function

The general form of the quadratic function is f(x) = a·x² + b·x + c

Where;

a, and b are the coefficients of x² and x respectively and c is the constant term

Therefore,  f(x) = x² + 2·x - 3, is a quadratic function, with a = 1, b = 2, and c = -3

3) Exponential function

The general form of the exponential function is f(x) = a·bˣ + k

Where;

a = The initial

b = The multiplier (growth or decay value)

k = vertical shift

Therefore, the function f(x) = 3ˣ - 2 is an exponential function with the initial = 1, b= 3, and k = -2

The number of solutions of |x - 1| + |x - 3| = 2 is​

Answers

Hope my answer helped u :)

Answer:

There are 3 intervals as following:

x ≤ 1

-(x - 1) - (x - 3) = 2-2x + 4 = 22x = 2x = 1

1 ≤ x ≤3

(x - 1) - (x - 3) = 22 = 2, any value of x in the same interval

x ≥ 3

(x - 1) + (x - 3) = 22x - 4 = 22x = 6x = 3

Combining the all, we get:

1 ≤ x ≤3 or x = [1, 3]

Evaluate 2a + c if a = 2 and c = -1

Answers

Answer:

[tex]2a + c \\ a = 2 \\ c = - 1 \\ then \: 2 \times 2 + - 1 \\ = 4 - 1 = 3 \\ thank \: you[/tex]

For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range.

Answers

Answer:

Ok, our function is:

f(x) = 3*(x - 1)^2 + 2.

First, domain:

We should assume that the domain is all the set of real numbers, and then we see if for some value we have a problem.

In this case we do not see any problem (we can not have a zero in the denominator, and there is no function that has problems with some values of x)

Then the domain is the set of all real numers.

Vertex:

Let's expand our function:

f(x) = 3*x^2 - 3*2*x + 1 + 2

f(x) = 3*x^2 -6*x + 2

The vertex of a quadratic function:

a*x^2 + b*x + c is at:

x = -b/2a

here we have:

a = 3 and b = -6

x = 6/2*3 = 6/6 = 1.

And the value of y at that point is:

f(1) = 3*(1 - 1)^2 + 2 = 2

Then the vertex is at: (1, 2)

Range:

The range is the set of all the possible values of y.

Ok, we can see that the leading coefficient is positive, this means that the arms of our quadratic function will go up.

Then the minimal value of our quadratic function is the value at the vertex, y = 2.

This means that the range can be written as:

R = y ≥ 2

So the range is the set of all real numbers that are larger or equal than 2.

Find the perimeter of the square. Be sure to write the correct unit in your answer.


21 yd

Answers

Perimeter is the distance around the outside.

A square has 4 equal sides:

Perimeter = 21 x 4 = 84 yards

Answer: Perimeter = 84 yd

Explanation:

Perimeter of square = 4 × side

Side = 21 yd

Perimeter = 4 × 21

= 84 yd

Must click thanks and mark brainliest

The graphic below shows a protractor, which is used to measure angles. What is the level of accuracy of this measurement tool? its a projractor

Answers

Step-by-step explanation:

A protractor is a handheld to use in measuring angles. It is most cases made up of plastic or glass materials, and can accurately measure angles of circles up to 180°.

However, when measuring straight lengths, a ruler or tape has better measuring accuracy than the protector.

Solve for y.
y/-1 +-7=-11​

Answers

Answer:

y = 4

Step-by-step explanation:

Move all terms not containing  y  to the right side of the equation.

-y = -4

Multiply each term in  − y  =  − 4  by  − 1

y = 4

Hope this can help you

The diameter of a cone is 34 ft. The height is 16 ft. What is the volume in cubic ft?

Answers

Answer:

V = 4839.8

Step-by-step explanation:

*The work is on the image*

Step 1. Use the volume of a cone formula

Step 2. Solve for the radius

Radius = diameter/2

Answer: 17

Step 3. Add the dimensions into the formula

Step 4. Simplify the exponent

Step 5. Multiply the radius by the height

Step 6. Multiply 4624 by pi

Step 7. Divide 14519.36 by 3
••••••••••••••••••••••••••••••••
doomdabomb: All brainliest
and thanks are appreciated
and would mean a lot to me,
Thanks!

Step-by-step explanation:

Hi there!

From the given Question, we have;

Diameter (d) = 34ft

Height (h) = 16ft

Now;

Radius (r) = d/2

= 34/2

= 17 ft

Now;

Volume (v) = 1/3(πr²h)

= 1/3(3.14 * 17² * 16) ft³

= 4839.78 ft³

Therefore, the Volume is 4839.78 ft³.

Hope it helps!

(x+4)^2 - (x-6)^2 - (x-1)*(x+1)

Answers

Answer:

-9

Step-by-step explanation:

What is the other endpoint of a segment with a midpoint of M(6, 1) and an endpoint S(5,-3)?

ANSWERS ASAP!!!!

Answers

Answer:

(7, 5)

Step-by-step explanation:

(x+5)/2, ( y-3)/2)=(6,1)

(x+5)/2=6, x= 7

( y-3)/2=1, y=5

Plzz help me with this question my class test is going on​

Answers

Step-by-step explanation:

2x+3y+5+4x-7y-8

2x+4x+3y-7y+5-8

6x-4y-3

Answer:

6x - 4y - 3

Step-by-step explanation:

They are basically telling you to sum both equations. So,

(2x + 3y + 5) + (4x - 7y - 8)

= 2x + 4x + 3y - 7y + 5 - 8

= 6x - 4y - 3

Find the value of a,b,c and x from the following figure

Answers

Answer:

L=110

d=110

b=70

a=70

c=110

Luz made a semicircular pendant with a radius of 8 centimeters to use on a key chain. She attached a wire around the edge of the pendant.

What is the approximate length of the wire she attached to the pendant?

41.13
50.27

Answers

The approximate length of the wire she attached to the pendant is 50.27

What is the approximate length of the wire she attached to the pendant?

The radius is given as:

r = 8 cm

The approximate length of the wire she attached to the pendant is calculated as:

Length = 2pi r

Where

pi = 3.14

So, we have:

Length = 2 * 3.14 * 8

Evaluate the product

Length = 50.24

Hence, the approximate length of the wire she attached to the pendant is 50.27

Read more about circumference at:

https://brainly.com/question/14283575

#SPJ1

Answer: The answer is 41.13.

Step-by-step explanation: I took the quiz and none of the other answers were correct.

The sum of three times a number and 6 is 4 times the difference of a number and "-3"

Answers

Answer:

x = 30

Step-by-step explanation:

i hope it help, sorry if its wrong

What us 6+8(4w-7)-(2w+1)

Answers

Answer:

30w-51

Step-by-step explanation:

6+8(4w-7)-(2w+1)

Distribute

6 + 32w-56 -2w-1

Combine like terms

32w-2w  +6-56 -1

30w-51

Answer:W=1.7

Step-by-step explanation: Simplifying

0 = 6 + 8(4w + -7) + -1(2w + 1)

Reorder the terms:

0 = 6 + 8(-7 + 4w) + -1(2w + 1)

0 = 6 + (-7 * 8 + 4w * 8) + -1(2w + 1)

0 = 6 + (-56 + 32w) + -1(2w + 1)

Reorder the terms:

0 = 6 + -56 + 32w + -1(1 + 2w)

0 = 6 + -56 + 32w + (1 * -1 + 2w * -1)

0 = 6 + -56 + 32w + (-1 + -2w)

Reorder the terms:

0 = 6 + -56 + -1 + 32w + -2w

Combine like terms: 6 + -56 = -50

0 = -50 + -1 + 32w + -2w

Combine like terms: -50 + -1 = -51

0 = -51 + 32w + -2w

Combine like terms: 32w + -2w = 30w

0 = -51 + 30w

Solving

0 = -51 + 30w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-30w' to each side of the equation.

0 + -30w = -51 + 30w + -30w

Remove the zero:

-30w = -51 + 30w + -30w

Combine like terms: 30w + -30w = 0

-30w = -51 + 0

-30w = -51

Divide each side by '-30'.

w = 1.7

Simplifying

w = 1.7

simplify 3^2/3 x 3^4/5

Answers

Answer: [tex]243/5[/tex]

[tex]3^2/3(3^4)/5\\=9/3(3^4)/5\\=3(3^4)/5\\=(3)(81)/5\\=243/5[/tex]

Answer
= 243/5


Explanation
= 3^2/3*3^4/5
= 9/3*81/5
Thus 3 divides 81 giving 27
So it becomes
= 9/1*27/5
9*27=243
Final answer 243/5

Will Give Brainliest!!! Answer ASAP

Answers

Answer:

I will assume that ABCD is a parallelogram.

1. In a parallelogram, opposite sides are congruent so 3x = 18 which means x = 6.

2. The diagonals of a parallelogram bisect each other so BE is half of BD, therefore, BD = 7.5.

3. Consecutive angles of a parallelogram are supplementary so m∠ADC = 180° - 135° = 45°.

4. Consecutive angles of parallelograms are supplementary so 2x + 10 + 135 = 180 → 2x + 145 = 180 → 2x = 35 → x = 17.5°.

5.  Again, the diagonals bisect each other so -6 + 8v = 9v - 10 → v = 4.

6. DA || BC so ∠DAC and ∠ACB are (congruent) alternate interior angles, therefore, m∠DAC = 37°.

7. The area of a parallelogram is base * height; we know base = 18 and height = 21 u so area = 378 u.

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