The length, in millimeters of each side of a square shaped electronic chip is a rational number. What statement is true about the length of the diagonal of the chip

Answers

Answer 1

Answer:

The diagonal is irrational because it is a product of a rational and an irrational number

Step-by-step explanation:

The options are not given. However, the question is still answerable.

Given

Shape: Square

Length: Rational

Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.

Having said that:

The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.

[tex]d^2 = l^2 + l^2[/tex]

[tex]d^2 = 2l^2[/tex]

Take positive square root of both sides

[tex]d = \sqrt{2l^2}[/tex]

Split:

[tex]d = \sqrt{2} * \sqrt{l^2}[/tex]

[tex]d = \sqrt{2} *l[/tex]

Recall that the side length (l) is rational.

However, [tex]\sqrt 2[/tex] is irrational.

So, the product of l and [tex]\sqrt 2[/tex] will be irrational

Hence:

The diagonal is irrational


Related Questions

4^0 x 16^0
I don’t know how the 0 work

Answers

Answer:

Its just 1.

Step-by-step explanation:

anything to the power of 0 is 1 simple

Which situation can be represented by this equation ?

120 + 4X = 280 - 6X

A. Jesus earned 124 points each hour playing Minecraft. Maria earned 274
points each hour playing Minecraft. What is X, the number of hours that
Jesus and Maria would have to play in order to have an equal number of
points?

B. Jesus started a savings account with $120 and spends $4 from his
savings account every week. Maria started a savings account with $280
and adds $6 to her savings account every week. What is X, the number
of weeks that need to pass in order for Jesus and Maria to have the
same amount of savings?

C. Jesus started with 120 marbles he gives 6 marbles away to his friends
daily. Maria started with 280 marbles and her friends give her 4 new
marbles each day. What is X, the number of days it will take Jesus and
Maria to have the same number of marbles?

D. Jesus has a bag of money that originally contained $120 and is being
filled at a rate of $4 per minute, Maria has a bag that originally
contained $280 and is being spent at rate of $6 per minute. What is X,
the number of minutes that both bags will contain the same amount of
money?

Answers

Answer:

d

Step-by-step explanation:

Tasha went golfing. Tasha hit the ball 220 yards down the fairway and then 165 yards to the hole. What would have been the shortest distance had she just hit the ball from the tee area to the hole?

Answers

Answer:

385 yards

Step-by-step explanation:

From the information provided we can only assume that the two hits that Tasha performed were in a straight line and in the same direction. Otherwise we would need to know the direction and/or angle of the shots. Assuming they were straight, the shortest minimum distance between the tee area and the hole would be calculated by adding the distance of the two shots.

220 yards + 165 yards = 385 yards

4y + 15.5 = 45.5
what is y?

Answers

Answer:

Y=7.5

Step-by-step explanation:

A real estate agent gets a 5.5% commission on all of the houses she sells How much money would she make for selling a $198,000 house​

Answers

Answer:

$10,890

Step-by-step explanation:

5.5% × 198000 = 10890

48
36
24
Find the average rate of change.

Answers

the average rate of change is 12

A server in a restaurant has the chocolate milk shown below. She uses all of the

milk to fill 7 smaller containers equally. There are 1,000 milliliters in i liter. About

how many milliliters of chocolate milk does the server put in each container?

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Containers = 7[/tex]

Required

Determine the amount in each container

The question is incomplete, as the amount of the chocolate milk is not given. However, the general solution is as follows

Assume the amount of chocolate milk is x.

The amount in each container is:

[tex]Each = \frac{x}{7}[/tex]

i.e. divide the amount of the chocolate milk by the number of containers.

Now assume that, x = 3.5 litres.

Substitute 3.5L for x in [tex]Each = \frac{x}{7}[/tex]

[tex]Each = \frac{3.5L}{7}[/tex]

[tex]Each = 0.5L[/tex]

Convert to mL

[tex]Each = 0.5 * 1000mL[/tex]

[tex]Each = 500mL[/tex]

Please give me an answer with an explanation! I'll give brainliest to whoever answers it correctly with explanation

Answers

Answer:

Rotational symmetry of Order : 6

Step-by-step explanation:

Rotational symmetry of Order : 6

When you rotate the picture and it match the original shape 6 times.

Which do I pick A or B?

Answers

pickkkkkkkkkk B...!!!?

Find the slope of the table below.

Answers

The answer will be (B) hope this helps!
:D

Members of a softball team raised $1513.50 to go to a tournament. They rented a bus for $961.50 and budgeted $46 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.

Answers

Answer: 1513.50=961.50+46x

The number of players the team can bring to the tournament = 12.

Step-by-step explanation:

Let x= the number of players the team can bring to the tournament.

Total money raised = Rent of bus + (Cost per player) (Number of players)

[tex]1513.50=961.50+46x\\\\\Rightarrow\ 46x=1513.50-961.50\\\\\Rightarrow\ 46x = 552\\\\\Rightarrow x=\dfrac{552}{46}\\\\\Rightarrow x=12[/tex]

Hence, the number of players the team can bring to the tournament = 12.

A state has an average of 40 inches of rain. It is normal divided throughout the 12 months. What is the average amount of rain? Round your answer to the nearest hundredth

Answers

3.33 hope this helps! <3

PLZ HELP its only one problem and the instructions are on the screenshot

Answers

Answer:

Equal to!

Step-by-step explanation:

2 x 1.08 is 2.16

(1.08/100) x 200 = 2.16

2.16 = 2.16

What is the probability of rolling a number cube two times and getting 4 each time?
A. 2.8%
B. 11%
C. 44%
D. 67%

Answers

Answer:

Step-by-step explanation:

(1/6)(1/6)=1/36

2.777 rounded to 2.8%

Please help if you want BRIANLEIST!!!

Answers

Answer:

C

Step-by-step explanation:

2x larger since 14x6.5=91 and 7x6.5=45.5

91/45.5=2

PLEASE HELP. YOU WILL BE MARKED BRAINLIEST IF ANSWER CORRECTLY!!!! :)
Young Jedi Kelkin Soerre was in the middle of intense lightsaber training. So far she had blocked 34 laser blasts with her lightsaber out of 43 tries. How many consecutive laser blasts must she block successfully in order to raise her success rate to 84%? Round your answer to the nearest whole blast.

Answers

Answer:

I think she  42 of 43???

Step-by-step explanation:

15. Cedric lives at one end of Main Street, and Landon lives at the other end of the street. Main Street is 6.02 Kilometers long. Cedric walks 3.9 kilometers toward Landon's house. How many more meters must Cedric walk to arrive at Landon's house? 2.12 m 9,920 m 2,120 m 3,920 m

Answers

Answer:

2,120 m

Step-by-step explanation:

Cedric lives at one end of Main Street, and Landon lives at the other end of the street

Main Street is 6.02 Kilometers long. Cedric walks 3.9 kilometers toward Landon's house.

Step 1

We calculate the kilometers Cedric has to walk to arrive at Landon's house

This is given as:.

6.02km - 3.9 km

= 2.12 km

Step 2

How many more meters must Cedric walk to arrive at Landon's house?

We convert from km to m

1 km = 1000m

2.12km = x

Cross Multiply

x = 2.12 × 1000m

x = 2120 m(meters)

Expand
(3a – 5b)(2a +36)

Answers

Answer:

6a^2+108a-10ab-180b

Step-by-step explanation:

19x + 2y = 10
y-intercept =
Submit

Answers

Slope -19/2
Y intercept: (0,5)
Your welcome :)

Answer: y = -19/2x +5

Step-by-step explanation:

-19x on both sides then divide both sides by 2. hope this helps!

sally works 38 hours er week her weekly wage is £355.68 she recieves a pay increase of 23p per hour whats her new weekly wage

Answers

Answer:

£364.42

Step-by-step explanation:

Weekly wage =  £355.68Work week = 38 hours

Hourly pay is:

£355.68/38 = £9.36

New payment per hour:

£9.36 + £0.23 = £9.59

New weekly wage is:

£9.59*38 = £364.42

Write an
exponential function in the form y
and (2,1100).
ab" that goes through points (0,11)

Answers

Answer:

[tex]y = 11(10) {}^{x} [/tex]

Step-by-step explanation:

The standard form of exponential function is

[tex]y = ab {}^{x} [/tex]

Let plug in 0,11

[tex]11 = ab {}^{0} [/tex]

anything to the 0 power equal 1 so b=1

[tex]11 = a[/tex]

Since we know 11 equal a here the equation rn

[tex]y = 11(b) {}^{x} [/tex]

Now let plug in 2,1110.

[tex]1110 = 11(b) {}^{2} [/tex]

Divide 11 by both

[tex]y = 11(10) {}^{2} [/tex]

y=100 then take sqr root of 100 then b=10

The volume of sphere Q is 150% more than the volume of sphere P the volume of sphere R is 50% more than the volume of sphere Q Find the volume of sphere P as a fraction of the volume of sphere R

Answers

Answer:

1/3.75

Step-by-step explanation:

Let:

Volume of sphere P = x

Volume Sphere Q = x + 150/100x

Volume of Q = x + 1.5x = 2.5x

Volume of R is 50% more than Q

Volume of R = (100 + 50)% of 2.5x

Volume of R = 150/100 * 2.5x

Volume of R = 1.5 * 2.5x = 3.75x

Volume of sphere P as a fraction of sphere R ;

Volume of P / volume of R

x / 3.75x

= 1/3.75

Question 8 The art teacher has 52 tubes of paint. If each bucket holds 5 tubes of paint, how many buckets will the teacher need? A 5 B 10 C 11 D 47

Answers

Answer:

11

Step-by-step explanation:

Every bucket holds 5 tubes of paint 5x10= 50 so you would need an extra bucket which would make 11 buckets with enough space for 3 extra paint tubes.

What is the central idea of this text?
A
Hurston was an amazing African-American writer who was unappreciated during
her lifetime.
O
B.
Hurston was an important African-American writer and anthropologist who
helped to preserve the African-American culture and experience.
С
Hurston was a strong-willed, vibrant African-American woman who fought for
what she wanted and found a way to get it.
D
Hurston was a popular and important African-American woman in the Harlem
Renaissance.
Ahhh

Answers

Answer:

B

Step-by-step explanation:

Hurston was an important African-American writer and anthropologist who

helped to preserve the African-American culture and experience.


Ifx += 5, find the value of x?

Answers

didn't undrestood the question

Answer:

if x + 0 = 5, the value of x is 5.

Step-by-step explanation:

we discard 0 since it is of no value in the equation. thus, x = 5. i'm not sure if the one next to the plus sign is 0, since there's nothing there, but we'll assume it's 0. however, if it turns out to be another number, just transpose the other number next to 5 (it would be negative), and subtract. that will be your x.

PLSSSS HELPPPP, i need to identify slope and y intercept also have to write a linear equation!!!

Answers

Answer:

y int= 12.50

slope= 2.00

equation= y=2x+12.5

Step-by-step explanation:

the y intercept in this case is the cost when you've watched 0 movies- its the initial price you pay, or the y value when the x value is equal to 0

the slope is the cost of each movie, or the increment by which the y values goes up when the x value goes up by 1 in this case. (for example the slope would be 5 if the movie price were 5 for each one movie)

y=mx+b is the equation for a linear equation, where m is the slope and b is the y intercept.

please help me on this will give you brainliest!!

Answers

Use photomath. It will scan it and give you the answer, hope this helps!

the sales tax rate is 5%, if Kayden buys the digital camera priced at $837.41 how much tax will he pay round your answer to the nearest cent​

Answers

Answer:

$41.87

Step-by-step explanation:

$837.41×0.05=$41.8705 or $41.87

the taxes will be $41.87

Explain what a zero, or root, of a function is.

Answers

Answer:

A root or zero of a function is a number that, when plugged in for the variable, makes the function equal to zero. Thus, the roots of a polynomial P ( x ) are values of x such that P ( x ) = 0 . The Rational Zeros Theorem

Step-by-step explanation:

y > 5x - 7 solid or dotted line ​

Answers

Answer:

Sniper Gang, Kodak

'Cause I got it by myself

Skrrt, skrrt, aye, skrrt, skrrt (Skrrt, skrrt)

Free lil Cool man, free lil Tap Boy, yee

Why you, why you keep that tool like dat?

Why you move like dat? I hit the club 50 deep (Aye, aye)

How you get so high like dat?

Why your eyes like dat?

'Cause I put moIIy in my Iean (Aye, Kodak, Kodak)

Kodak, why you act like dat?

Why you strapped like dat?

'Cause I got it by myself (Aye, aye)

boi, I don't need no vitamin C

I be sm0k!n' broccoli, they say it's good for my health (Aye, aye)

I'm from the No, my Lil boy from the Dale

I like my money fast, you movin' like a snail

All I sm0k3 is L's, on that paper trail

Can't you tell? I got clientele on my Nextel

I don't need your help, got it on my own

This a million-dollar phone, but I ain't got no ring tone (Aye, aye, aye)

Kodak, why you keep that thing on you? (Aye, aye)

'Cause I ain't got no time to play with you

All I do is win, I hate to lose

Got your b00 dancin', 'cause that's what them bands make her do (Make her dance)

I'm sm0k!n' broccoli, counting green

I'm on moIIy, I'm on Iean (I put moIIy in my Iean, boy)

Why you, why you keep that tool like dat?

Why you move like dat? I hit the club 50 deep (With my boys, aye)

How you get so high like dat?

Why your eyes like dat?

'Cause I put moIIy in my Iean (In my Iean, aye)

Kodak, why you act like dat?

Why you strapped like dat?

'Cause I got it by myself (By myself)

boy, I don't need no vitamin C

I be sm0k!n' broccoli, they say it's good for my health (Aye, aye, Kodak)

Kodak, why you always in a foreign? (In a foreign car)

'Cause if it ain't foreign, then it's borin' (That's a boring car)

I'm chasin' dreams, while you snorin'

Kodak Black, my girl yellow, but her favorite color orange (Color orange, boy)

Please don't call my phone no more, I'm on tour (girl, I'm on tour)

Only two can fit, screw a four door (screw a four door)

boy, this a Jag, this is not a Ford (Not a Ford)

Polo to the floor, screw that Tom Ford (Poppin' moIIy)

boy, this a Rollie, screw that Michael Kors (screw that thing)

I'm in here movin' slowly, 'cause I poured a four (I'm on that)

Got her on her knees, like "forgive me Lord" (screw that girl)

I remember pullin' schemes, way in Baltimore (Remember I was hitting)

Why you, why you keep that tool like dat?

Why you move like dat? I hit the club 50 deep (With my boys, aye)

How you get so high like dat?

Why your eyes like dat?

'Cause I put moIIy in my Iean (In my Iean, aye)

Kodak, why you act like dat

Why you strapped like dat?

'Cause I got it by myself (By myself)

boi, I don't need no vitamin C

I be sm0k!n' broccoli, they say it's good for my health (I'm the healthy kid)

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