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

a rational denominator.




I really need help :(

Answers

Answer 1

Answer:

Value of x = 3√2 unit

Step-by-step explanation:

Given:

Hypotenuse of given triangle = 6 unit

Length of equal side = x units

Find:

Value of x

Computation:

Using pythagorean theorem

Hypotenuse² = Perpendicular² + Base²

Hypotenuse of given triangle² = Perpendicular² + Base²

6² = x² + x²

36 = 2x²

x² = 36/2

x² = 18

x = √18

x = 3√2

Value of x = 3√2 unit

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

Related Questions

can someone help me with this maths question? workings would be appreciated :]


Adrian, Ben and Charlie share some sweets in the ratio 8:5:10
Charlie got 20 more sweets than Adrian.

Work out the total amount of sweets.

Answers

Answer:

total amount of sweets=230

Step-by-step explanation:

ratio=8:5:10

total ratio=8+5+10

=23

Adrian=x

Charlie= x+20

Ben=1/2×(x+20)

Charlie's share

10/23×(x+20+x+(1/2×x+20))=x+20

10/23×(x+20+x+(x+20/2))=x+20

10/23×(x+20+x+x+20/2)=x+20

10/23×(2(x+20)+(2×x)+(x+20/2)/2=x+20

10/23×(2x+40+2x+x+20)/2=x+20

10/23×(2x+2x+x+40+20)/2=x+20

10/23×(5x+60)/2=x+20

50x+600/46=x+20

50x+600=46(x+20)

50x+600=46x+920

50x-46x=920-600

4x=320

4x/4=320/4

x=80

Total amount of sweet

x+x+20+1/2(x+20)

80+80+20+1/2(80+20)

180+1/2(100)

180+50

230

KoKo Chocolatiers sells their truffes in rectangular boxes. They are going to start ordering circular boxes, too. The rectangular box is made from metal that is 0.3 cm thick. The circular box will be constructed from laminated cardboard that is 0.2 cm thick. The height of the circular box will be the same as the rectangular box. If the volumes of the two boxes are equal, then what is the radius (r) of the circular box?

Answers

Answer:

r = 9.61 cm

Step-by-step explanation:

Volume of a rectangular box = length × width × height

= 21.5 cm × 13.5 cm × 6 cm

= 1,741.5 cm³

Volume of a rectangular box = 1,741.5 cm³

Since,

Volume of a rectangular box = Volume of a circular box

Then,

1,741.5 cm³ = Volume of a circular box

Volume of a circular box = πr²h

1,741.5 cm³ = 3.14 * r² * 6 cm

1,741.5 = 18.84r²

r² = 1,741.5/18.84

r² = 92.436305732484

r = √92.436305732484

r = 9.6143801533163

Approximately,

r = 9.61 cm

How much almond milk does James use per teaspoon of cashew butter

Answers

Put the whole problem, we need more information

Help me plsssssssss

Answers

[tex]y \: \alpha \: x[/tex]

Let c be the constant

[tex]y = cx \\ 16 = c4 \\ c = \frac{16}{4} \\ c = 4[/tex]

SO:-

[tex]y = cx \\ y = 4 \times ( - 2) \\ y = ( - 8)[/tex]

Answer:

y = 4x

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 16 when x = 4 , then

16 = 4k ( divide both sides by 4 )

4 = k

y = 4x ← equation of variation

When x = - 2 , then

y = 4 × - 2 = - 8

A fruit seller buys lemons at 2 for a dollar and sells them at 5 for three dollars. What is his gain percent?
a)10%
b)15%
c)20%
d)25%​

Answers

I’m not sure but I think it’s C) 20%, I hope this helps

Evaluate x2+9/x2 for each of the given values.

What is the value of the expression when x = 3?
2
3
10
undefined
What is the value of the expression when x = 1?
2
3
10
undefined
What is the value of the expression when x = 0?
2
3
10
undefined

Answers

Answer:

ok so we just substate the number in so

6+9/6

6+1 1/3 = 7 1/3

so for part a the answer is 7.33

for part b

2+9/2

3+4 1/2 =7 1/2

so the answer is 7.5

A:7.33

B:7.5

Hope This Helps!!!

Answer:

A, 2

B, 10

C, undefined

Step-by-step explanation:

Just did the assignment  E2021

Type the correct answer in each box. Use numerals instead of words, Simplify the following polynomial expression. (5x2 + 13x – 4) – (17x2 + 7x – 19) + (5x – 7)(3+ + 1)
____ x2 – ____ x + ____​

Answers

Answer:

La primera es la respuesta la segunda parte es la

Step-by-step explanation:

La que te muestra como va el procedimiento

Answer:

-57x^2-10x+8

Step-by-step explanation:

i just did the test on edmentum

What is the recursive formula for this geometric sequence?
-3, -21, -147, -1029, ...

Answers

(-3)(7)^(n-1)
The common multiplier is 7 but the actual formula you take the first term then multiply it by the multiplier raised to the n-1

Please help me!! Thank you.​

Answers

Answer:

8640

Step-by-step explanation:

According to question,

P= 6000

T=3 year 8 months = 11/3 years

R= 12% per annum

Simple interest is given by :

[tex]SI=\frac{PRT}{100} \\SI=\frac{6000*12}{100} *\frac{11}{3} \\SI=24*11\\SI=2640 Rs[/tex]

Now,

Amount = P+SI

Amount=6000+2640

Amount=8640 Rs

8640 Rs amount which will clear her debt

3. Which of the following equations has a center of (-4,7) and a diameter of 18?
(1) (x+4)*+(y – 7)' =3
(2) (x+4)* +(y-7)= 324
(3) (x+4)*+(y-7)=9
(4) (x+4)*+(y-7)* = 81

Answers

Answer:

option 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (- 4, 7) and r = 18 ÷ 2 = 9 , then

(x - (- 4) )² + (y - 7)² = 9² , that is

(x + 4)² + (y - 7)² = 81

help plz I’m stuckkkk

Answers

The "is" means "equals"

So we write [tex]72 = 8 \times 9[/tex] which is the same as [tex]72 = 9 \times 8[/tex] since order of multiplication doesn't matter. We could also flip both sides of the equation to get something like [tex]8 \times 9 = 72[/tex], and still mean the same thing.

When you find the surface area of a cube, you ________ the length of the cube and
multiply by 6

Answers

Answer:

The word for the blank would be "square".

Step-by-step explanation:

Since the area of a face of a cube would be square its side length, the total surface area of a cube would be that times 6.

Hope this helped!

Answer:

square

Step-by-step explanation:

the area of a cube is found by squaring the length

Plz solve this question correctly.
Show the steps needed to solve it.

Answers

Answer:  378y^3

Step-by-step explanation:

the formula for volume is V = L * w * h , where V=volume, L=length, W=width, and H=height

if we plug the numbers from the picture in, the formula would look like this:

V = 9y * 7y * 6y

to solve you just multiply them together

V = 378 y^3

What is the value of x in the equation of 7x-8=13
PLEASE HELP MEEE​

Answers

Answer:

x = 3

Step-by-step explanation:

7x-8=13

Add 8 to each side

7x-8+8=13+8

7x = 21

Divide each side by 7

7x/7 = 21/7

x = 3


What is the multiplicative rate of change of the
function?

Answers

Answer:

0.25×5=0.125

0.125×0.5=0.0625

0.0625×0.5=0.03125

the multiplicative rate of chage of the function is 0.5

find AD and AB
hhjhh​

Answers

Answer:

y = 13

x = 20.6155281281

Step-by-step explanation:

5^2 + 12^2 = y^2

25 + 144 = y^2

169 = y^2

[tex]\sqrt{169}[/tex] = y

y = 13

y^2 + 16^2 = x^2

13^2 + 16^2 = x^2

425 = x^2

20.6155281281 = x

Hope this helps!

simple Answer:

y = √(119)

x = √(375)

Step-by-step explanation:

harder answer:

12^2 - 5^2 = y^2

y = √(119)

16^2+ √(119) = 375

x = √(375)

Help please if you don’t mind Thankyouu!

Answers

Answer:

(3V) / b = h

Step-by-step explanation:

V = (1/3)bh multiply both sides by 3

3V = bh divide both sides by b

(3V) / b = h

please solve this fast.

Answers

2/3

The fraction has not been simplified

(8/27)^(t/3) = [(8/27)^(1/3)]^t = [(8^(1/3)) / (27^(1/3))]^t = (2/3)^t
So each year the number of bacteria is multiplied by 2/3

Combine like terms to create an equivalent expression.
3.26d+9.75d-2.653.26d+9.75d−2.653, point, 26, d, plus, 9, point, 75, d, minus, 2, point, 65

Answers

Answer:

3.26d+9.75d-2.653.26d+9.75d−2.653, point, 26, d, plus, 9, point, 75, d, minus, 2, point, 65

Step-by-step explanation:

Answer:

13.01d-2.65

Step-by-step explanation:

I got it right on Khan Academy just combine like terms and you have your answer.

please help! i think the answer is 12 but any verification would be greatly appreciated!

Answers

Answer:

13.9 or 14

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + 13^2 = c^2

25 + 169 = 197

square root 197 to get c

c = 13.9 (14 rounded up)

Helpful thing to note is that the hyptoenuse will always be longer than your "long side" of the triangle

the right answer is 12 !

13
What is the Pythagorean Theorem?
A) a + b + c
B
a2+b2=c2
a2-b2=c2
D) abc = d

Answers

Answer:

a2 +b2=c2

Step-by-step explanation:

......

hope it helps

Answer: its a^2+b^2=c^2

Step-by-step explanation:

Question 9 of 10 Based only on the given information, it is guaranteed that AB I CD. A D . Given: AABC ZDAC = ZDBC O A. True O B. False​

Answers

Answer:

False

Step-by-step explanation:

False

There is not enough information to guarantee the lines are perpendicular.

No, we can not say that AB and CD are perpendicular from the information given.

What are perpendicular line?

Two geometric objects are perpendicular if their intersection forms right angles at the point of intersection called a foot.

The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂.

Given that a triangle ABC, divided into two triangles by a line DC, also

angle DAC and DBC are congruent,

From the given information we can not conclude any relation between both triangles,

Hence, we can not say that AB ⊥ CD

Learn more about perpendicular line click;

https://brainly.com/question/29268451

#SPJ7

Which of the following are solutions to the quadratic equation? Check all that
apply.
x2 + 8x + 16 = 7

Answers

Answer:

[tex]x=-4+\sqrt{7}[/tex]

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

Step-by-step explanation:

Quadratic

The local humane society is trying to determine how many racoons there are in a city. They catch and tag 18 raccoons. Later on, they catch 67 raccoons, and 2 of them are tagged. What is the best estimate of the raccoon population? Answer to the closest whole number.

Answers

Answer:

83 racoons

Step-by-step explanation:

18+67- 2

you would subtract the two they found with tags

What is the value of x in the equation -3/4 = x/24​

Answers

X= -18.

So in -3/4 = x/24 , you have to begin by getting the same denominator. 4 goes into 24, 6 times, so you would have to multiply -3 by 6 too for them to be equal.

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = - 18}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{ - 3}{4} = \frac{x}{24} [/tex]

➼ [tex] \: x = \frac{ - 3 \times 24}{4} [/tex]

➼ [tex] \: x = \frac{ - 72}{4} [/tex]

➼ [tex] \: x = - 18[/tex]

Therefore the value of [tex]x[/tex] is -18.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex] \frac{ - 3}{4} = \frac{ - 18}{24} [/tex]

➼ [tex] \: \frac{ - 3}{4} = \frac{ - 3}{4} [/tex]

➼ L. H. S. = R. H. S.

Hence verified.

[tex]\bold{ \green{ \star{ \orange{Mystique35♨}}}}⋆[/tex]

F
is directly proportional to
a
.
If
F
=
25
when
a
=
5
find,
F
when
a
=
8

Answers

Since F and a are directly proportional, we can relate F to our unknown F, and a to our other known a.

25 / 5 = F / 8

Cross-multiply to solve.

5F = 200

F = 40

Hope this helps!

A leading automobile magazine has 60 pages and 4,50,000 copies are printed every month. How many pages in all are printed in the month of April?

Answers

Answer:

See the explanation below

Step-by-step explanation:

Number of months =4

Number of copies =450000

Number of pages =60

Number of copies in 4 months =450000*4

=1800000

Number of pages is

=1800000 *60

=108,000,000

For what value of k will the relation y = kx² + 8x + 8 have only one zero? (3 marks)

Answers

Answer:

2

Step-by-step explanation:

2x^2 + 8x + 8

factor the 2 out : 2(x^2 + 4x + 4)

2(x + 2)^2

x = -2

The product of (3+2i) and a complex number is (17+7i)

The complex number is______

Answers

Answer:

The complex number is;

37 + 55i

Step-by-step explanation:

Here, we want to find the product of the two

We proceed as follows;

(3 + 2i)(17+ 7i)

= 3(17 + 7i) + 2i(17 + 7i)

= 51 + 21i + 34i + 14(i)^2

Recall; i = √(-1)

Thus, we have it that;

51 + 55i -14

= 51-14 + 55i

= 37 + 55i

(First correct answer will get brainliest) Determine the length of AB. Write your anseer in simplest form

Answers

Answer:

[tex] \frac{6}{6 + AB} = \frac{8}{8 + 10} \\ \\ 6 + AB = \frac{6 \times (8 + 10)}{8} \\ 6 + AB = 13.5 \\ AB = 7.5 [/tex]

The length of AB is 7.5
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