A square has side length 3 units. What is the length of the diagonal?

Answers

Answer 1

9514 1404 393

Answer:

  C. 3√2 units

Step-by-step explanation:

The diagonal of a square is √2 times the side length. For a square with side length 3, the diagonal is 3√2.

__

If you like, you can see this using the Pythagorean theorem.

  d² = s² + s² . . . . . where d is the diagonal, and s is the side

  d² = 2s²

  d = √(2s²) = s√2

For s=3, ...

  d = 3√2


Related Questions

I need help this is so hard.

Answers

Answer= A

Explanation- it is the only one who does not fit in

the price per gallon of gas with a $7 car wash is $3.19 and the price without the car wash is $3.39. When is it worth it to buy the car wash? When is it worth it if the car wash costs $2?

Answers

Answer:

The price per gallon of gas with a $7 car wash is $3.19

Then if you purchase x gallons of gas and also pay for the car wash, the total cost is:

C(x) = $7 + $3.19*x

In the case that you do not pay for the car wash, the cost per gallon is $3.39

Then the cost for x gallons of gas in this case is:

K(x) = $3.39*x

When is it worth it to buy the car wash?

We need to sett the equations:

C(x) = K(x)

This means that you pay exactly the same in both cases, but in one ( C(x)) you get the car wash and in the other not.

Then we need to solve:

$7 + $3.19*x = $3.39*x

$7 = ($3.39 - $3.19)*x = $0.20*x

$7/$0.20 = x = 35

Then for 35 gallons, is worth to buy the car wash.

In the case where the car wash costs $2, then the equation C(x) becomes:

C(x) = $2 + $3.19*x

Then if we solve the same equation:

C(x)  =K(x)

$2 + $3.19*x = $3.39*x

$2 = ($3.39 - $3.19)*x

$2 = $0.20*x

$2/$0.20 = x

10 = x

Then for 10 galons is whort  buy the car wash.

What type of sequence is this? *
9, 14, 19, 24, 29, ..

Answers

Answer:

an arithmetic sequence

Step-by-step explanation:

I think it's because it adds 5 each time and in arithmetic sequences there's a common difference, so it'd be an arithmetic sequence :)

I already know the answer but ima check and see.

Answers

I got 2.29 is the difference and debras cows made more obviously

Fraction form is 229/100


MARK ME BRAINLIEST PLEASE

Country A has an exponential growth rate of 4.6​% per year. The population is currently 5,849​,000, and the land area of Country A is 38​,000,000,000 square yards. Assuming this growth rate continues and is​ exponential, after how long will there be one person for every square yard of​ land?

Answers

There will be one person per square yard when the number of people is equal to the number of square yards of the country.
In other words, we need to know when the population of the country will be 27,000,000,000.
We know that the population grows exponentially, so we use the exponential growth formula:

Where:
P is the population as a function of time
is the initial population
r is the annual growth rate
t is time in year.
The information we have allows us to conclude that:


So the exponential growth equation is:

We want to know when P = 27, 000,000,000.
So:

Now we solve for t, and as soon as we answer for t, the answer will be 189.66 years. Hope this helps! Mark brainly please!


Answer:

195.205998 years

Step-by-step explanation:

P=P0(1.046)^t   P=future population   P0=initial population  t=years passed

38,000,000,000 = 5,849,000(1.046)^t

1.046^t = 38,000,000,000/5,849,000

1.046^t = 38,000,000/5,849

plug in log on both sides

log 1.046^t = log (38,000,000/5,849)

t[log 1.046] = log (38,000,000/5,849)

t = In (38,000,000/5,849)/ In 1.046

t ≈ 195.205998 (hope this helps)

Plz help well mark brainliest if you are correct!

Answers

Answer:

12 centimenters.

Step-by-step explanation:

Answer:

6 cm

Step-by-step explanation:

We need to find the distance from R to s which is basically the radius, we know radius is r=d/2 to 12/2 (since 12 is diameter) is 6.


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

<DEC and <IHJ

Step-by-step explanation:

Alternate exterior angles are angles on the other side of a transveral and on the exterior area.

17. Multiply 3x3y2 by -6xby7.
O A. 18x15y14
O B.-18x2y3
O C. -18x8yº
O D. -9x15y14

Answers

A is the correct answer ! Sorry is incorrect

what is the domain of this exponential function , y=7^x

Answers

Answer: hope this helps

Step-by-step explanation:

Answer:

Hope this helped!!!

Step-by-step explanation:

Please can someone find X! Please!

Answers

Answer: x=26

Explanation:
24^2+10^2= 676
Sqrt 676 = 26

Please help me thanks!

Answers

Answer:

3rd Option

[tex] \frac{6}{17} [/tex]

Step-by-step explanation:

Given,

No. of blue marbles = 6

No. of green marbles = 6

No. of red marbles = 5

So,

Total no. of marbles = 6+6+5 = 17

Therefore,

Probability of not getting blue marbles

[tex] = \frac{6}{17} [/tex]

Hence,

3rd option is correct.

15 PTS!!! HELP IMMEATLEY
Aaron is designing a party game in which he needs exactly 24 possible outcomes. Which sets of actions can he use to have a statistically fair game?

Randomly select an odd digit {1, 3, 5, 7, 9}, then flip a coin twice.

Randomly select a number from 1 to 16, then roll an 8-sided number cube with the digits 1 to 8.

Spin this and roll an 8-sided number cube with the digits 1 to 8.
Select a card from a set of cards with the letters A through N, then spin this once.
Select a card from a set of cards with the letters A through D, then spin this once.
Toss a coin twice, then roll a 6-sided number cube with the digits 1 to 6.

Answers

Answer:

Select a card from a set of cards with the letters A through D, then spin this once.

Spin this and roll an 8-sided number cube with the digits 1 to 8.

same thing as last. nearest 100th

Answers

Answer:

452.39 mi^2

Step-by-step explanation:

A = πr^2

A = π (12mi)^2

A = 452.39 mi^2

Please mark Brainliest :D

Please mark Brainliest :D

help ples me i hate ixl

Answers

Answer:

200

Step-by-step explanation:

Base of the prism is a square

So

[tex]\\ \tt {:}\longrightarrow Area\:of\:base=(side)^2[/tex]

[tex]\\ \tt {:}\longrightarrow (5)^2[/tex]

[tex]\\ \tt {:}\longrightarrow 25cm^2[/tex]

Now

[tex]\\ \tt {:}\longrightarrow Volume=Area\:of\:Base\times Height[/tex]

[tex]\\ \tt {:}\longrightarrow 25\times 8[/tex]

[tex]\\ \tt {:}\longrightarrow 200cm^3[/tex]

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Answer is x=-4


-5x+32-20x+48=180
-25x=100
x=-4

LOOK AT IMAGE PLEASE I MARK BRAINLIEST

Answers

Answer:

0.2 I think

Step-by-step explanation:

7x6=42

35÷42=0.2

Answer: 5

explanation:
Area: base x height

35/7=5

a train travels 18 km in 30 minutes.Find the speed of the train in km/h

Answers

Step-by-step explanation:

s=d/t

s=18/30

s=3/5km/h

Find the distance between the pair of points (2, 3) and (6, 8)

Answers

Answer:   d=sqrt(41) =6.4031  

Step-by-step explanation:

We know that the distance between the two points (x  1  ,y  1  ) and (x  2  ,y  2 ) is

d= sqrt((x2-x1)^2 +(y2-y1)^2 )

as given

x1=2  ,x2=6   ,y1=3 ,y2=8

d=sqrt((6-2)^2+(8-3)^2 )

d= sqrt((4)^2+(5)^2

d=sqrt(16+25)

d=sqrt(41) =6.4031

What is the y-intercept in the graph below?
y
1

Answers

Answer:

1

Step-by-step explanation:

y-intercept: the point where the line and the y-axis intersect

Answer:

y-intercept =1

Step-by-step explanation:

The y -intercept of a graph is the point where the graph crosses the y -axis.

Can a triangle be made using the side lengths of 5, 10, 2?

a
Yes
b
No, the sum of the shortest sides measures less than the longest side.
c
No, the sum of the shortest sides measures more than the longest side.

Answers

Answer:

The answer is C. No, the sum of...

A ceramic vase was originally priced at $100 but went on sale for 50% off. If Ernesto bought the ceramic vase and paid 12% sales tax, how much did he pay in total?

Answers

Answer: he payed $56 in total

Explanation:
50% of 100 is 50.
50 time 1.12 is 56

Ernesto bought the ceramic vase for $56 including 12% tax.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A ceramic vase was originally priced at $100 but went on sale for 50% off.

∴ The discounted price is (50/100)×100 = $50.

Now after Ernesto bought the ceramic vase he had to pay a tax of 12%.

∴ {(100 + 12)/100}×50.

= (112/100)×50.

= 56.

So he paid $56 including 12% tax.

Learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

I’m stuck on this question??????????????

Answers

Answer:

You are? so am I

Step-by-step explanation:

Answer:

1. 49, 2. 245

Step-by-step explanation:

Add 16 and 33 together to get 49 minutes. That is what Blaire listens to in one day. Multiply that by 5 and you find out what she listens to in 5 days

pls help me on this !!!

Answers

Answer:

7, 12, 13

Step-by-step explanation:

Use the Pythagorean theorem equation on all of them. The one that does not make the equation true is the  answer.

a^2 + b^2 = c^2

A.

a^2 + b^2 = 18^2 + 80^2 = 6724

c^2 = 82^2 = 6724

Right triangle.

B.

a^2 + b^2 = 7^2 + 12^2 = 193

c^2 = 13^2 = 169

Not a right triangle.

C.

a^2 + b^2 = 3^2 + 4^2 = 25

c^2 = 5^2 = 25

Right triangle.

D.

a^2 + b^2 = 45^2 + 60^2 = 5625

c^2 = 75^2 = 5625

Right triangle.

Answer: 7, 12, 13

Find the lateral area of a cylinder
whose radius is 5 cm and whose
height is 10 cm.
Round to the nearest whole number.
[? ] cm2

Answers

Answer:

314 cm^2

Step-by-step explanation:

(=^w^=)

A= 2*pi*r*h

A=2*pi*5*10

A=314.16 cm^2

Step-by-step explanation:

2×5×10=

10×10= 100 cm²

=100 cm²

Joseph drove to his grandmother's house which is 279 miles away in 4.5 hours. If he continues at the same speed, approximately how long will it take him to drive 325 miles?

Answers

Answer:

5.24 hours

Step-by-step explanation:

I like to set these up as ratios.

279 miles/4.5 hours = 325 miles/ x hours

Then cross multiply

279x = 4.5 x 325

279x = 1462.5

divide both sides by 279

x = 5.24 hours

You can also solve 279 miles/4.5 hours to get the miles per hour driven, then divide 325 by that number:

279/4.5 = 62mph

325/62 = 5.24

Which similarity statement and justification correctly identifies the triangles'

relationship? *

Help plz

Answers

Answer:

(c) [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA

Step-by-step explanation:

Given

See attachment for triangles

Required

The relationship between both triangles

First, we determine the corresponding sides.

The corresponding sides will be determined based on the length of each side (i.e. bigger sides correspond while smaller sides correspond).

So, we have:

[tex]AC\ to\ EC[/tex]

[tex]BC\ to\ DC[/tex]

Next, is to name the triangle base on the corresponding sides

The names will be: [tex]\triangle ABC[/tex] and [tex]\triangle EDC[/tex]

Lastly, is to check the scale ratio (k).

For both triangles to correspond, the scale ratio must be the same

So:

[tex]k = \frac{EC}{AC} = \frac{DC}{BC}[/tex]

[tex]k = \frac{8}{6} = \frac{12}{9}[/tex]

[tex]k = \frac{4}{3} = \frac{4}{3}[/tex]

[tex]k = \frac{4}{3}[/tex]

Hence, the theorem is: [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA

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Renaissance
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S M/JIB MYP MATH 1: Period 8-E X
B Post Attendee - Zo
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Jenna Hill
Ela is building a fence around her yard. She is
using boards that are 0.44 feet wide. She needs
enough boards to build 99 feet of fence. She will
place the boards side by side.
How many boards will Ela need?

Answers

Answer:

225 boards

Step-by-step explanation:

99 ft/0.44 ft = 225 ft

Y = 5x + 2
6y = 18x + 12
What is the value of X?

Answers

Step-by-step explanation:

x= 0, y = 2

have a great day

Determine whether the figure is a parallelogram.

Answers

Answer:

The figure is a parralellogram

Step-by-step explanation:

it has 4 sides and one set is parallel

Find the gradient of the line segment between the points (2,3) and (4,7)

Answers

Answer:

1/2

Step-by-step explanation:

take change in X divided by change in Y values

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