3. The area of a square is 169 cmWhat is the length of the diagonal of
the square?

Answers

Answer 1

Answer:

18.4 cm

Step-by-step explanation:

A square has equal sides.  Let's say one side is x.  The area would be x^2.  We know the area to be 169 cm^2, so:

x^2 = 169 cm^2

x = 13 cm

The diagonal, z,  would form a right triangle with two sides of length 13 cm.  The Pythagorean theorem can be used:

13^2 + 13^2 = z^2

z^2 = 338

z = 18.38 cm, or 18.4 cm


Related Questions

Help I’m clueless if you can help please do.

Answers

Answer:

x is 10 and y is 20

Step-by-step explanation:

Please help me ASAP .......

Answers

Answer:

<3 ~= <5 - Alternate Interior Angles Theorem

<3 ~= <7 - Corresponding Angles Theorem

<5 ~= <7 - Vertical Angles Theorem

line I || line m - Transitive Property

FIRST ANSWER GETS CROWNED BRAINLIEST!!!

Andrea and Felix collected 48 signatures for a petition. Felix collected one-third as many signatures as Andrea did. How many signatures did Andrea collect?

Please answer with the formula :)

Answers

Answer:

16 signatures

Step-by-step explanation:

48/3 = 16

16 x 2 = 32

One-third of 48 is 16. So if Felix collected one-third and Andrea collected two-thirds, then Felix had 16 signatures and Andrea had 32 signatures.

Answer:

16

Step-by-step explanation:

48/3 = 16

16 x 2 = 32

1/3 of 48 is 16. if Felix collected 1/3 and Andrea collected 2/3, then Felix got 16 signatures

Which polynomial is prime? x3 3x2 2x 6 x3 3x2 – 2x – 6 10x2 – 4x 3x 6 10x2 – 10x 6x – 6

Answers

The polynomial that is prime is given by Option C: [tex]10x^2 - 4x +3x +6[/tex]

What are prime polynomials?

Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called prime polynomial.

(it is necessary that no factors exists having their coefficients are still integers and they're of lower degree)

Checking all the listed polynomials for them being prime or not:

Case 1: [tex]x^3+3x^2+2x+6[/tex]

Rewriting it as:

[tex]x^3+3x^2+2x+6 = x^2(x+3) + 2(x+3) = (x^2 + 2)(x+3)[/tex]

shows that this polynomial has factors. Thus, it isn't prime polynomial

Case 2: [tex]x^3 + 3x^2 -2x -6[/tex]

Rewriting it as:

[tex]x^3 + 3x^2 -2x -6 = x^2(x+3) -2(x+3) = (x^2-2)(x+3)[/tex]

shows that this polynomial has factors. Thus, it isn't prime polynomial

Case 3: [tex]10x^2 - 4x +3x +6[/tex]

We can rewrite it as:

[tex]10x^2 -4x + 3x -6 = 10x^2 -x -6 = f(x) \: \rm (say)[/tex]

This polynomial is prime polynomial as it is irreducible in terms of polynomials having their coefficients as integers.

Case 4: [tex]10x^2 -10x + 6x - 6[/tex]

It can be factored as:

[tex]10x(x-1) + 6(x-1) = (x-1)(10x-6)[/tex]

This is not a prime polynomial.

Thus, the polynomial that is prime is given by Option C: [tex]10x^2 - 4x +3x +6[/tex]

Learn more about prime polynomials here:

https://brainly.com/question/10717989

Answer:

The polynomial that is prime is given by Option C:

What are prime polynomials?

Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called prime polynomial.

(it is necessary that no factors exists having their coefficients are still integers and they're of lower degree)

Checking all the listed polynomials for them being prime or not:

Case 1:

Rewriting it as:

shows that this polynomial has factors. Thus, it isn't prime polynomial

Case 2:

Rewriting it as:

shows that this polynomial has factors. Thus, it isn't prime polynomial

Case 3:

We can rewrite it as:

This polynomial is prime polynomial as it is irreducible in terms of polynomials having their coefficients as integers.

Case 4:

It can be factored as:

This is not a prime polynomial.

Thus, the polynomial that is prime is given by Option C:

Learn more about prime polynomials here:

brainly.com/question/10717989

Step-by-step explanation:

12(8) 2x2 - 4x and g(x) = x-3, what is (p•a)(*)?
2x 4x - 12
216x + 18
216x + 30
2x16x + 15

Answers

For that you need a math calculator

Which ordered pair fits the function h(x) = x2 + 2? a (-3, -7) b (-2, -2) c (2, 4) d (3, 11)

Answers

Answer:??????

Step-by-step explanation:

Answer:

d (3,11)

Step-by-step explanation:

A pair of weak earthquakes are modeled by nonlinear inequalities. One earthquake occurred roughly 15 km south and 18 km west of the center of Salt Lake City, Utah. The quake could be felt 16 km away. A couple of days later another earthquake occurred 9 km north and 4 km east of the center of Salt Lake City and could be felt 21 km away. If Salt Lake City is located at (0, 0) on a coordinate grid, the system below represents this scenario.

StartLayout Enlarged Left-brace first row (x + 18) squared + (y + 15) squared less-than-or-equal-to 256 Second row (x minus 4) squared + (y minus 9) squared less-than-or-equal-to 441 EndLayout

Which location in relation to Salt Lake City felt both earthquakes?

12 km east and 2 km north
12 km east and 2 km south
12 km west and 2 km north
12 km west and 2 km south

Answers

2 km east and 10 km north

Step-by-step explanation:

I did the activity and got the right answer.

Answer: 12km west and 2km south

Step-by-step explanation:

Just did it

Evaluate the expression -1/3 - 5/6 . be sure to simplify if necessary!

A: - 6/9
B: - 1/2
C: -1 and 1/3
D: - 1 and 1/6

Answers

Answer:

C: -1 and 1/3

Step-by-step explanation:

Yukon has $0.75 in her purse. Which fraction is the same as $0.75?

A. 1/4

B. 1/2

C. 3/4

D. 7/5

Answers

Answer:

C is the answer.

0.75 = 3/4

1 = 4/4, 1-0.25 = 0.75

4/4 -1/4 = 3/4

Step-by-step explanation:

Can someone please help me??? I’ll mark brainlist!!!

Answers

Answer: c-it’s the same price

Step-by-step explanation: 20% off 200 is 160 and 200-160=40 so it’s the same

Ms. Spencer is packing orders for her bath supply business. One customer ordered 8 bath fizzies and 4 jars of sugar scrub. Each bath fizzy weighs 5 ounces, and each jar of sugar scrub weighs 1.5 pounds. How many pounds does this customer's entire order weigh?

Answers

8 bath fizzes * 5 (ounces) = 40 ounces. 4 jars of sugar scrub * 1.5 (pounds) = 6 pounds. So 6 pound and 40 ounces. (40 ounces = 2.5 pounds. So 8.5 pounds in total.) ( If you want to convert the answer to ounces, 8.5 pounds is 136 ounces.)

Safia's book has 136 pages.

She has read 1/8
of it.
How many pages has she read

Answers

Answer: 17 pages

Step-by-step explanation:

One eighth of 136:

136 divided by 8 = 17

Answer:

17 pages

Step-by-step explanation:

1/8 x 136 = 17

What is the surface area of the solid?
A. 180 square centimeters
B. 232 square centimeters
C. 236 square centimeters
D. 212 square centimeters
E PREVIOUS

Answers

Answer:

D

Step-by-step explanation:

4x5+4×12+12×6×2=212

A city starts with a population of 500,000 people in 2007. Its population declines according to the equation
P(t) = 500,000e -0.099
where P is the population in t years later. Approximately when will the population be one-half the initial amount?

Answers

A city starts with a population of 500,000 people in 2007. Its population declines according to the equation

P(t) = 500,000e -0.099t

where P is the population in t years later. Approximately when will the population be half the initial amount?

Answer:

2014

Step-by-step explanation:

Given the exponential growth function :

P(t) = 500,000e^-0.099t

Where P is population in t years later

When the population will 1/2 the initial amount

1/2 the initial amount = 1/2 * 500,000 = 250,000

P(t) = 250,000

250,000 = 500000e^-0.099t

250,000/500000 = e^-0.099t

In(0.5) = - 0.099t

t = −0.69314 / - 0.099

t = 7.0014

t = 7

Year which population = 500,000 = 2007

Hence, half the population will be attained on (2007 + 7) = 2014

After 7 years population of the city will be half of the initial amount.

Population function:

[tex]P(t) = 500000 e^{-0.099t}[/tex]

Initial population means population at t=0

P(0) = 500000

Half of initial population = 250000

So, we need to calculate the time t when the population will be half of the initial amount.

[tex]250000= 500000 e^{-0.099t}\\\\e^{-0.099t} = \frac{1}{2}[/tex]

Taking log both sides

-0.099t (log e)= log (1/2)

What is the logarithm of e?

The logarithm of e is 1 when considering the base of the log as e.

So, -0.099 t= -0.693

t=7

Therefore, After 7 years population of the city will be half of the initial amount.

To get more about logarithm visit:

https://brainly.com/question/11495859

What polynomial must be subtracted from 2x^3 − x^2 + 4x − 5 so that the difference is
x^3 + 2x − 9?

Answers

Answer:

-x^3 + x^2 - 2x - 4

Step-by-step explanation:

You have to subtract

Let o = the polynomial

So you know 2x^3 - x^2 + 4x + 5 - o = x^3 + 2x - 9

Now you do 2x^3 - x^3 = x^3

then you -x^2 + answer = 0

you need to cancel it out

to cancel, you found out that it is x^2

Now you need to make from 4x to 2x.

To do that, you do 4x - 2x and you get 2x

Lastly you need to change -5 to 9. To do that you add -4.

Now since it is subtraction you have to distribute

2x^3 - x^2 + 4x - 5 -(x^3 - x^2 + 2x + 4)

= 2x^3 - x^2 + 4x + 5 - x^3 + x^2 -2x -4

= x^3 -2x + 9

A. y=1/8x

B. y= 4x

C. y=1/4x

D. y= - 1/4

E. y= 2x

F. y= - 1/8​

Answers

Answer:

C

Step-by-step explanation:

You divide first than you get ur fraction

The approximate total surface area of Earth is 5.1 × 10^8 km2. All the salt water on Earth has an approximate surface area of 352,000,000 km2, and all the freshwater on Earth has an approximate surface area of 9 × 10^6 km2. How much of Earth's surface is covered by water, including both salt and fresh water? Write your answer in scientific notation.Single line text.

Answers

Answer:

3.61x10^8km^2

Step-by-step explanation:

In this problem, we are expected to solve for the total area covered by water,   by addition of scientific notation

Given data

Area covered by salt water=  352,000,000 km2

Area covered by fresh water= 9 × 10^6 km2=9,000,000

Earth's surface is covered by water= 352,000,000 +9,000,000

Earth's surface is covered by water= 361000000

In scientific notation it is 3.61x10^8km^2

25 points
Tyler has a container that is the shape of a cube. He uses 64 cubes with
side lengths of 1 in to completely fill the container. What is the edge?

Answers

Answer:

x*x=64

x= 8

Step-by-step explanation:

this means that the area is 64 in more than 2

divide 64 and your answer is 8

The sum of 4 consecutive integers is 26. What is the least of 4 integers?

Answers

Answer:

5

Step-by-step explanation:

it is 5 because 5 + 6 + 7 + 8 =26

and 5 is the least

Answer:

Step-by-step explanation:

Use the interactive to graph these numbers on the number line. –4, 3, 0. 5, 1 Which number is closest to zero?.

Answers

The number closest to 0 is the number whose absolute difference from 0 is the smallest

0.5 is the closest number to 0

How to determine the closest to 0

The numbers are given as:

–4, 3, 0. 5, 1

Calculate their absolute difference with 0

|-4 - 0| = 4

|3 - 0| = 3

|0.5 - 0| = 0.5

|1 - 0| = 1

The smallest absolute difference is 0.5

Hence, 0.5 is the closest number to 0

Read more about absolute difference at:

https://brainly.com/question/3381225

What is the slope of y = 3? (HOY VUX)

What is the slope of x = 3? (HOY VUX)

Answers

Top should be perpendicular
Bottom is going to be parallel

what is the rate of change of the cost with respect to the number of miles for the yellow cab company (yellow cab company is the dotted line)​

A.$0.50

B.$2

C.$3

D.$1

Answers

Answer:

I think the answer may be option C

If 360 birr is divided among three people in the ratio 3:4:5,find the share of each person?
plsss i will make brainlist if its correct answer​

Answers

Answer:

the first gets =90birr

the second gets =120birr

the third gets =150birr

90+120+150=360birr

I hope you got your answer.

Can someone please help me figure out what’s 18 3/4 as a decimal

Answers

Answer:

18.75

Step-by-step explanation:

[tex]\\ \rm\Rrightarrow 18\dfrac{3}{4}[/tex]

Break mix fraction

[tex]\\ \rm\Rrightarrow \dfrac{75}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{75(25)}{100}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1875}{100}[/tex]

[tex]\\ \rm\Rrightarrow 18.75[/tex]

Which of the following inequalities is represented on the graph?

Answers

The last one is the answer: x< -2

Answer:

a number line or something like this

Question is in the attachment

Answers

Answer:

B is the answer in the first quadrant x is positive

Find the slope

A) -6
B) 6
C) -1/6
D) 1/6

Answers

The answer is 1/6 hopefully it helps

A surveyor wants to use similar triangles to determine the distance across a lake as shown at the right. What is the distance d across the lake?

A. 75ft
B. 80ft
C. 85ft
D. 90f

Answers

Base on the similarity principle of triangles, the distance d across the lake as shown is 90 ft.

Similar triangle theorems

Two triangles are similar if they are only difference in size but have the same shape.

In similar triangles, corresponding sides are always in the same ratio.

Therefore, let's create a proportion from the triangles since they are similar.

40 / d = 20 / 45

cross multiply

45 × 40 = 20d

1800 = 20d

divide both sides by 20

1800 / 20 = 20d / 20

d = 90 ft

learn more on similar triangles here: https://brainly.com/question/25882965

2x-y=8
3x+y=17, usingelemination method solve​

Answers

The given equations are;
2x-y=8......(i)
3x+y=17......(ii)
Adding equation (i) and (ii), we get
5x=25 ( as +y and -y is canceled out during addition)
Hence x=5
Now
Substituting the value of x in equation (i)
2x5-y=8
10-y=8
Hence y=2

I need help on this question

Answers

Answer:

Step-by-step explanation:

They all give 8r so that is not the distinguishing characteristic.

The first one in column A gives

12r + t - 4r + 6t

12r - 4r + t + 6t

8r + 7t  

This is the third one in column B

2nd one in Column A

12r + 2t - (4r + 10t)               Remove the brackets

12r + 2t - 4r - 10t                  Pay close attention to 10t becoming -10t. The minus sign effects both terms inside the brackets.

12t - 4t + 2t - 10t                  Combine

8r - 8t                                   Now take out the common factor (8)

8(r - t)                                    That's the top one in column B

3rd one in column A

12(r + t) - 6(r +t) + 4(r + t) - 2(r+t)    They all have r+t so r + t is a common factor)

(r+t) [12 - 6 + 4 - 2]                          Combine

(r + t ) [ 8 ]

This is the second one in  column B

The trick here is to look out for common factors. Don't remove the brackets. But it takes a bit of practice before you know that

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