The figure below is a square. Find the length of side x in simplest radical form with a
rational denominator.
X
oc
Answer: 2
Submit Answer
Just need some help

Answers

Answer 1

Answer:

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

Step-by-step explanation:

45 - 45 - 90 Triangles

When one leg = x, the hypotenuse = x[tex]\sqrt{2}[/tex]

So, if the hypotenuse is 1, then divide by [tex]\sqrt{2}[/tex] to get the leg.

[tex]\frac{1}{\sqrt{2} }[/tex]  rationalize denominator.

[tex]\frac{1}{\sqrt{2}}[/tex] × [tex]\frac{\sqrt{2}}{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{2}}{\sqrt{2} \sqrt{2} }[/tex]  =  [tex]\frac{\sqrt{2} }{\sqrt{4}}[/tex] =  [tex]\frac{\sqrt{2}}{2}[/tex]


Related Questions

Two lines parallel to a third line are parallel to each other. never sometimes always

Answers

Answer:

always

Step-by-step explanation:

they would all have the same gradient & be parallel to each other!

ie. A || B ,   B || C

in this case, A || C ^^

Answer:

always

Step-by-step explanation:

have the same gradient & be parallel to each other

You continue to work on a
paper that you started many days ago. If you work from 8:10pm to 9:35pm, find the
measure of the angle, in radians, that the minute hand travelled during this time.
- 510 degrees
- 180 degrees
- 630 degrees
- 210 degrees

Answers

Answer:

510°

Step-by-step explanation:

Total Time from 8:10pm to 9:35pm is 1hour 25mins= 85mins

Movement of the minute hand from one point around the clock and back to the same point gives a complete rotation of 360°

if 60mins = 360°

85mins=

[tex] \frac{85}{60} \times 360[/tex]

= 510 degrees

Find the value of x.

Answers

Answer:

ᴀꜱ ᴡᴀʀᴍ ᴀꜱ ꜱᴜɴ

ᴀꜱ ꜱɪʟʟʏ ᴀꜱ ꜰᴜɴ

ᴀꜱ ᴄᴏʟᴅ ❄️ ᴀꜱ ᴀ ᴛʀᴇᴇ

ᴀꜱ ꜱᴄᴀʀʏ ᴀꜱ ꜱᴇᴀ

ᴀꜱ ʜᴏᴛ ᴀꜱ ꜰɪʀᴇ

ᴀꜱ ᴄᴏʟᴅ ᴀꜱ ɪᴄᴇ

ꜱᴡᴇᴇᴛ ᴀꜱ ꜱᴜɢᴀʀ

ᴀɴᴅ ᴇᴠᴇʀʏᴛʜɪɴɢ ɴɪᴄᴇ

ᴀꜱ ᴏʟᴅ ᴀꜱ ᴛɪᴍᴇ ⌛

ᴀꜱ ꜱᴛʀᴀɪɢʜᴛ ᴀꜱ ʟɪɴᴇ ➖

ᴀꜱ ʀᴏʏᴀʟ ᴀꜱ ᴀ ᴀɴɢᴇʟ☺️

ᴀꜱ ʙᴜᴢᴢᴇᴅ ᴀꜱ ʙᴇᴇ

ᴀꜱ ꜱᴛᴇᴀʟᴛʜ ᴀꜱ ᴛɪɢᴇʀ

ꜱᴍᴏᴏᴛʜ ᴀꜱ ɢʟɪᴅᴇʀ

ᴘᴜʀᴇ ᴀꜱ ʜᴇᴀʀᴛ ❤️

ᴘᴜʀᴇ ᴀꜱ ɪ ᴡᴀɴɴᴀ ʙᴇ

Step-by-step explanation:

hehehehehe I'm xxxxxd

Saniya........ Khan ❤️

the ratio of corresponding side of similar triangles is 5:2, then find the ratio of their areas ​

Answers

Answer:

25:4

Step-by-step explanation:

The ratio of the sides is 5:2

The ratio of the areas is the scale factor squares

5^2 : 2^2

25:4

i need help asap!! thank you, your help is really appreciated

Answers

It’s the first one

3(6)-1/2(6)+1

PLZZZ HELPPP, IF NOT 100% SURE PLZ DONT ANSWER…BRAINLIEST TO FIRST AND CORRECT ANSWER, THX TO SECOND AND CORRECT ANSWER

Answers

ANSWER

9/16

EXPLANATION

9/8 divided by 2/1
=
9 x 1
8 x 2
=
9/16

Find the product (x - 10) ( x - 5)​

Answers

꙰  Hello there mohammedsaquibali45 ! My Name is ⚝Tobie⚝ and I'm glad you asked! Let me walk you step by step in order to comprehend the question better!   ꙰  

i

{x}^{2}-5x-10x+50

x

2

−5x−10x+50

ii Collect like terms.

{x}^{2}+(-5x-10x)+50

x

2

+(−5x−10x)+50

iii Simplify.

{x}^{2}-15x+50

x

2

−15x+50

☆Answer :

(x - 10)(x - 5) = ...

= x^2 + (-10 + (-5))x + (-10•(-5))

= x^2 - 15x + 50

xpower4 minus 16 bracket b minus c whole power 4​

Answers

Answer

6372 - power 4

Step-by-step explanation:

Algebra one need help ASAP

Answers

Answer:

a=6

Step-by-step explanation:

12-2a=3(a-6)

or,12-2a=3a-18

or,12-5a=-18

or,-5a=-30

or,a=6

hope this helps

Look at this cube:

If the side lengths are doubled, then which of the following statements about its surface area will be true?

Answers

9x9 = 81
81x6=486 (old total surface area)

18x18 =324
324x6 = 1944 (new total surface area)

1944 : 486
4 : 1 (new to old)

wo large tanks A and B are each partially filled with 100 gallons of salt water. Initially,80 pounds of salt is dissolved in the solution in tank A, and 30pounds of salt is dissolvedin the solution in tank B. The system is closed so that the wellstirred saline solution ispumped only between tanks A and B. The saline solution in tankA travels to tank Balong a pipe at the rate of 3 gallons per minute, and the salinesolution in B travels totank A at the rate of 2 gallons per minute. Write a system of IVPs that will describe theamount of salt,x1, in tank A at timetand the amount of salt,x2in tank B at timet.

Answers

At the start, it's given that x₁ (0) = 80 lb and x₂ (0) = 30 lb.

The amounts of salt in either tank change according to

dx₁/dt = (2 gal/min) (x₂/(100 - t ) lb/gal) - (3 gal/min) (x₁/(100 + t ) lb/gal)

dx₂/dt = (3 gal/min) (x₁/(100 + t ) lb/gal) - (2 gal/min) (x₂/(100 - t ) lb/gal)

To break this down a bit, consider tank A, for instance:

• solution flows in from B at a rate of 2 gal/min

• the volume of liquid in tank B after t minutes is

100 gal + (2 gal/min - 3 gal/min) (t min) = (100 - t ) gal

because the tank starts with 100 gallons of liquid, and 2 gallons are pumped in while 3 gal are pumped out each minute

• at any time t, the solution in B contains x₂ pounds of salt

• the concentration of the solution in A is then x₂/(100 - t ) lb/gal

• multiplying this by the inflow rate tells you how much salt is moving around each minute

Use the first five terms of the binomial theorem to approximate (-1.4)^8

Answers

Answer:

14.75789056

Step-by-step explanation:

I think so...

The first five terms of the binomial theorem to approximate (-1.4)⁸ answer would be 14.056.

What is the Binomial Theorem?

The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.

According to the binomial theorem, it is possible to expand any non-negative power of binomial (x + y) into a sum of the form,

(x+y)ⁿ = ⁿC₀xⁿy₀ + nC₁ xⁿ⁻¹y₁ + nC₂ xⁿ⁻² y2 + ... + nC x¹yⁿ⁻¹ + nCn x°yⁿ

where n ≥ 0 is an integer and each ⁿCₓ is a positive integer known as a binomial coefficient.

Given expression as (- 1.4)⁸

as a result, if you have raised a negative integer to an even power, the response will be positive.

Eliminating the negative sign.

⇒ (1.4)⁸ = (1+0.4)⁸

⇒ 1⁸+8*1⁷*0.4+28*1⁶*0.4²+56*1⁵*0.4³+70*1⁴*0.4⁴

⇒ 1+3.2+4.48+3.584+1.792

14.056

If we used one more term we would get 14.62944

Learn more about the binomial theorem here:

https://brainly.com/question/27813780

#SPJ2

What digit placed in the blank would make the number 138_ divisible by both 4 and 5

Answers

Answer:

The digit that should be placed in the blank is 0.

Step-by-step explanation:

We are given the four-digit number: 138_

And we want to determine the digit that should be placed in the blank to make the number be divisible by both 4 and 5.

A number that is divisible by 5 must end in either 0 or 5. This leaves us with only two options: 1380 or 1385.

Recalling divisibility rules, for a number to be divisible by 4, its last two digits must be divisible by 4.

80 is indeed divisible by 4, while 85 is not.

In conclusion, the digit that should be placed in the blank is 0, with the number being 1380.

Just to get points……


Can someone please help me solve this ?

Answers

answer:

-1

here's the explanation below :))

Is this table a function why or why not?

Answers

Answer:

yes

Step-by-step explanation:

functions have one input for every output.

the input side has unique and individual numbers therefore it's a function.

Which statement best describes how to determine whether f(x) = x2 - x + 8 is an even function?
CU
O Determine whether –x2 - (-x) + 8 is equivalent to x2 – X + 8.
Determine whether (-x)2 – (-x) + 8 is equivalent to x2 – X + 8.
O Determine whether -x2 - (-x) + 8 is equivalent to -(x2 - X + 8).
O Determine whether (-x)2 – (-x) + 8 is equivalent to -(x2 – X + 8).

THIS IS 60 POINTS BTW

Answers

Answer:

2nd option

Step-by-step explanation:

If f(x) is an even function , then

f(x) = f(- x)

f(x) = x² - x + 8

f(- x) = (- x)² - (- x) + 8 = x² + x + 8

Since f(x) ≠ f(- x) then f(x) is not an even function

Pls help












.
Z

Z
Z
Z
Z
Z
Z
Z
A

Answers

Answer:

20.2 feet

Step-by-step explanation:

Using Pythagoras theorem, we have

Height^2+13^2=24^2, height=sqrt(407)=20.2

use the formula v=u+at to find the velocity when the initial velocity is 3m/s2 the time is 7 seconds

Answers

Answer:

Step-by-step explanation:

hello

add me on s

ghazalp2186

love xx

and i dont know the answer

Graph the exponential function.
f(x)=3/2(2)^x
Plot five points on the graph of the function. Then click on the graph-a-function button.

Answers

[tex] \bf \: f(x) = \frac{3}{2} \times {2}^{x} \\ \\ = > \bf \: f(0) = \frac{3}{2} \times {2}^{0} = \frac{3}{2} \times 1 = \frac{3}{2} = 1.5 \\ \\ = > \bf \: f(1) = \frac{3}{2} \times {2}^{1} = 3 \\ \\ = > \bf \: f(2) = \frac{3}{2} \times {2}^{2} = 6 \\ \\ = > \bf \: f( - 1) = \frac{3}{2} \times {2}^{ - 1} = \frac{3}{2} \times \frac{1}{2} = \frac{3}{4} = 0.75 \\ \\ = > \bf \: f( - 2) = \frac{3}{2} \times {2}^{ - 2} = \frac{3}{2} \times \frac{1}{4} = \frac{3}{8} = 0.375[/tex]

A box contains two purple marbles nine orange marbles and seven yellow marbles if you pick two without looking what is the probability that both will be orange

Answers

Answer:

1/4

Step-by-step explanation:

First, add up the marbles:

2 + 9 + 7  = 18

Multiply by 2 because you pick two:

18 × 2 = 36

Simplify:

9/36 = 3/12 = 1/4

Hope this helped.

1.2 m
1.2 m
Susie is 1.13 metres tall
She has a play tent in the shape of a triangular prism.
The diagram shows the front view of the tent.
The front of the tent has been drawn to scale below.
a) Complete the scale drawing.
1.5m
Not drawn accurately
b) Can Susie stand up in the
middle of the tent?
1.5m
Scale: 1 cm represents 60 cm

Answers

Split the triangle into 2 right in the middle so you have 2 identical right triangles. The base on one would be half the base of the triangle shown so, the base would be: 1.5/2 = 0.75 m.

Now using the Pythagorean theorem you can find the height:

Height - sqrt(1.2^2 - 0.75^2)

Height = sqrt(1.44 - 0.5625)

Height = sqrt(0.8775)

Height = 0.93675 meters

The height of the tent is smaller than the height of Suzie so she cannot stand up.

Help needed fast!!!

Answers

Answer:

The answer is A

Step-by-step explanation:

It has to exceed not be same or equal to

answer: a) x>7

explanation: :))

Which ordered pair is the best estimate for the solution of this system of linear equations?
A.(-6, -2)
B.(-3, 2)
C. (4,-4)
D. (6,8)​

Answers

Answer:

B. (-3, 2)

Step-by-step explanation:



ji and jl are opposite rays

Answers

what exactly are you looking for? you gave us no question to answer lol

Tommy types 54 words per minute, with an average of 3 mistakes. How many mistakes would you expect Tommy to make if he typed 300 words?

Answers

Answer:

around 17 mistakes

Step-by-step explanation:

We can write a ratio to solve

54 words             300 words

------------------ = -------------------

3 mistakes             x mistakes

Using cross products

54x = 3*300

54x = 900

Divide by 54

54x/54 = 900/54

x =50/3

x = 16.66666666(repeating)

around 17 mistakes

X = mistakes in 300 words

54/3 = 300/X

54X = 3 x 300

X = 900/ 54

X = about 17 words, since 16 and 2/3 rounded to the nearest tenth is 17

Select All the correct answers

Select all the statements that are true for the following systems of equations.

System A
2x-3y=4
4x.y = 18

System B
3x - 4y 5
y = 5x + 3

System C
2x-3y - 4
12x-3y 54

1. All three systems have different solutions.

2. Systems A and B have different solutions

3. Systems A and C have the same solution

4. Systems B and C have the same solution

5. System C simplifies to
2x - 3y = 4 and 4x - y = 18 by dividing the second equation by three

Answers

Answer:

a

Step-by-step explanation:

kjddhllkfewtuikkbccjg

Please help me solve this guys today is my last day & I’ve been trying so hard

Answers

y = x^2 - 3x - 4

Factored Form: y = (x - 4)(x + 1)

X-Intercepts: (4,0) and (-1,0)

Axis of Symmetry: x = 1.5

Vertex: (1.5, -6.25)

Domain: All real numbers

Range: y > -6.25

Hope this helps!

HELPPP!!
Rate the following bank accounts from most to least liquid: CD, savings account, checking account, money market
account
a. CD, savings account, checking account, money market account
b. Savings account, checking account, CD, money market account
C. CD, money market account, savings account, checking account
d. Checking account, savings account, money market account, CD
Please select the best answer from the choices provided
OA
OB
О С
OD

Answers

Answer:

C

Step-by-step explanation:

There isn’t one

If a change dispenser contains 32 coins consisting of
only dimes and quarters worth $5.15, how many
dimes are in the dispenser?

Answers

Answer:  19 dimes

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

Work Shown:

d = number of dimes

q = 32-d = number of quarters

$5.15 = 515 cents

10d+25q = 515

10d+25(32-d) = 515

10d+800-25d = 515

-15d+800 = 515

-15d = 515-800

-15d = -285

d = -285/(-15)

d = 19

There are 19 dimes. You can stop here if you want.

q = 32-d = 32-19 = 13

There are 13 quarters

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

Check:

1 dime = 10 cents

19 dimes = 19*10 = 190 cents

1 quarter = 25 cents

13 quarters = 13*25 = 325 cents

total value = 190 cents + 325 cents = 515 cents = $5.15

The answer is confirmed.

I need help ASAP!!! I don’t get it

Answers

Answer:

Reflexion and rotation, then translation

Answered by GAUTHMATH

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