A square garden has sides 100 ft long. You want to build a brick path along a diagonal of the square. How long will the path be? Round your answer to the nearest
foot.

Answers

Answer 1
100^2+100^2=c^2
10,000+10,000=c^2
20,000=c^2
141=c
Answer 2

The length of the diagonal of the square rounded to the nearest foot is 141.2 feet.

What are the dimensions of a square?

The area of a square is a product of it's any two sides or a product of diagonals divided by two. If the side has a length then the diagonal is a√2.

The perimeter of a square is the sum of the lengths of all the sides.

Given, A square garden has sides 100 ft long.
Now, If we draw a diagonal it becomes a right-angled triangle with a height of 100 ft and a base of 100 feet.

Therefore, By applying Pythagoras' theorem we have,

The length of the diagonal is = √(100² + 100²).

= √(10000 + 10000).

= √(20000) feet.

= 141.42 Or 141 feet.

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Related Questions

Simplify

-5|( 3 – 5•3^2)+2^3|•|4-2^3​

Answers

Answer:

-232

Step-by-step explanation:

-5|+23|·|4-23|=-5|8|·|4-23|

-5|8|·|4-23|=-5|8|·|-4|

-5|8|·|-4|=-58·|-4|

-58·|-4|=-58·4

-58·4=-232

1 - 3x = -5

How do you solve it step by step

Answers

Answer:

x = 2

Step-by-step explanation:

1 - 3x = -5

Subtract 1  from each side

1-3x-1 = -5-1

-3x = -6

Divide each side by -3

-3x/-3 = -6/-3

x = 2

solve attachment EASY POINTS

Answers

-px + r = -8x - 2

Add 2 to both sides

-px + r + 2 = -8x

Add px to both sides

r + 2 = -8x + px

Divide both sides by p - 8

[tex]\frac{r + 2}{p - 8}[/tex] = x

BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST
A student provided the steps for solving an equation. Which statement describes the error in the
solution?
please answer quickly thank you

Answers

Answer:

It is in step 2

Step-by-step explanation:

they don't multiply the 5 as well

Answer:

The sum of 2 numbers is 17. One is 3 less than 2/3 of the other number. What is the lesser number

Step-by-step explanation:

Help me ASAP
I need to be done with this in 10 minutes

Answers

Answer:

B)  [tex]y= \frac{1}{2}x+4[/tex]

Step-by-step explanation:

Find the value of  b  using the formula for the equation of a line.

[tex]y=mx+b[/tex]

Replace the known value of  m  in the slope y-intercept form of the equation.

[tex]y=(\frac{1}{2}) x+b[/tex]

Replace the known value of  b  in the slope y-intercept form of the equation.

[tex]y=(\frac{1}{2}) x+4[/tex]

Please help me

If EC bisects BED, find m BED.
A. 128°
B. 130°
C. 134°
D. 136°

Answers

Answer:

19x+22

Step-by-step explanation:

Answer:

D. 136°

Step-by-step explanation:

[tex]\because \overrightarrow{EC} \:bisects \: \angle BED. \\

\therefore m\angle BEC = m\angle DEC\\

\therefore (11x+2)\degree = (8x+20)\degree \\

\therefore 11x + 2 = 8x + 20\\

\therefore 11x - 8x = 20-2\\

\therefore 3x = 18\\

\therefore x = \frac{18}{3}\\

\therefore x = 6\\\\

\because m\angle BED= m\angle BEC + m\angle DEC\\

\therefore m\angle BED= (11x+2)\degree + (8x+20)\degree\\

\therefore m\angle BED= (19x+22)\degree \\

\therefore m\angle BED= (19\times 6+22)\degree \\

\therefore m\angle BED= (114+22)\degree \\

\huge \purple {\boxed {\therefore m\angle BED= 136\degree}} \\[/tex]

can someone help with this please

Answers

Answer:

[tex]3^2[/tex]

Step-by-step explanation:

[tex]\frac{3^8*\:3^4}{3^2*\:3^8}[/tex]

Apply Exponent rule: [tex]a^b\cdot \:a^c=a^{b+c}[/tex]

[tex]\frac{3^{12}}{3^8* \:3^2}[/tex]

[tex]\frac{3^{12}}{3^{10}}[/tex]

Apply exponent rule: [tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]3^{12-10}=3^2[/tex]

Answer:

Step-by-step explanation:

3^8 * 3^4

ـــــــــــــــــــــ

3^2 * 3^8 =

3^(8+4)

ـــــــــــــــــــــ

3^(2+8) =

3^12

ـــــــــــــــــــــ

3^10 =

3^2

(5 x 10^4) x (6x10^5)=
I’m so confused

Answers

Answer:

30000000000

Step-by-step explanation:

i did 10^4 witch is 10000 x 5= 50000

ok than i did  10^5 witch is  100000 x 6 = 600000

then i did 600000 x 50000 witch was 30000000000

hoped this helped let me know if it did

Express using algebra: The number that is b less than 10

Answers

Answer:

x=b-10

Step-by-step explanation:

any is in a word problem means = and less than means subtract. I am only 90% sure this answer is correct but using my logic this is what I got.

The number that is b less than 10 will be given in the mathematical form as n = b - 10.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Express using algebra: The number that is b less than 10. Let the number be n. Then the equation is given as,

n = b - 10

The number that is b less than 10 will be given in the mathematical form as n = b - 10.

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5(2(y + 1) - 5(y-2))

Answers

Answer:

-15y+60

Step-by-step explanation:

there is no other way but to simplify

-15y+60 u can’t really do this problem not other way but to simplifying it

How do you factor n^2 - n-72

Answers

Answer:

Consider the form

x

2

+

b

x

+

c

. Find a pair of integers whose product is

c

and whose sum is

b

. In this case, whose product is

72

and whose sum is

1

.

9

,

8

Write the factored form using these integers.

(

n

9

)

(

n

+

8

)

Step-by-step explanation:

: Is the elevation halfway between the peak of Mount Belinda and the South Sandwich Trench above sea level or below sea level? Give your explanation without calculating the exact value. this is due today

Answers

Ones measured above sea level which is Mount Belinda 1,370 meters above the other one is South Sandwich Trench 8,428 meters below sea level.  Below sea level because you subtract the above sea level by below sea level you still end up with below sea level.  3,529 kilometers below sea level how i did this i subtracted 8,428 by 1,370 and 7,058 than divided that by 2 to get to the center of both

x2 = 9/16 = x = show your work

Answers

Answer:

Explanation:

x

2

9

=

16

or

x

2

=

16

+

9

or

x

2

=

25

or

x

=

25

or

x

=

±

Find the area of the rectangle.

Answers

Answer:

40 units²

Step-by-step explanation:

Area of Rectangle: A = lw

Step 1: Define variables

l = 8

w = 5

Step 2: Substitute and evaluate

A = 8(5)

A = 40 u²

Jim split up $23 equally among 31 winners. What decimal is
equivalent to the fraction of a dollar that each winner received? Round
to hundredths.

Answers

Answer:

Each winner received 1.35 dollars

Step-by-step explanation:

I divided 31 by 23 and got 1.34782608696. But we had to round to the hundredths so, I rounded up to 1.35 dollars.

what is the x for 18 > 2x + 4 ≥ 4?

Answers

Answer:

I hope

Step-by-step explanation:

x<7

I worked it out on paper for you (and anyone else who needs it)

also, those are greater than signs, not 7s except for the 7 on the last one.

hope I could help

If a cube has a volume of 64 cubic inches, what is the area of the base of the cube?

Answers

Answer:

A = 16 cubic inches

Explanation:

If the volume is 64 cubic inches, that means each side (length, width, and height) are 4 inches each. This makes the area (l × w) is 16 cubic inches

42 square feet to square inches

Answers

Answer:

6048 square inches

Step-by-step explanation:

Answer:

6048 inches

Step-by-step explanation:

12x48

Given d=60 miles and v=15 miles per hour, solve d=vt in terms of t, then substitute values.
ANSWER
A.)t=900 hours
B.)t=4 hours
C.)t=60 hours***
D.)t=15 hours
I think C I’m not sure

Answers

Given d=60 miles and v=15 miles per hour, solve d=vt in terms of t, then substitute values.

T=4hours

Is the answer

what is the solution for x in 12x-4=5x+24​

Answers

Answer:

x = 4

Step-by-step explanation:

12x - 4 = 5x + 24

First subtract 5x from both sides

That's

12x - 5x - 4 = 5x - 5x + 24

7x - 4 = 24

Add 4 to both sides

That's

7x - 4 + 4 = 24 + 4

7x = 28

Divide both sides by 7

We have the final answer as

x = 4

Hope this helps you

Answer:4

Step-by-step explanation:First, add 4 to both sides of the equation. Then subtract 5x from both sides. Finally, divide both sides by 7.

PLEASE IM SO DESPERATE, 100 POINTS!!!!
Do both on the worksheet. It’s commutative property of function compositions. Give me a step by step explanation if you can!!! Thank you in advance

Answers

Answer:

its 66

79

2nd activity

it's 44

-32

Step-by-step explanation:

hope it helps

Answer:

x=13

Step-by-step explanation:

2×94=

66

Plz mark as brainliest and follow me plz

Under a dilation centered at the origin, the vertex, (−2, 4), of a polygon is moved to the point (4, −8) . What is the scale factor of the dilation?

Answers

Answer:

-2

Step-by-step explanation:

I took the quiz.

The scale factor of the dilation is -2.

How does dilation works?

Dilation of a figure will leave its sides get scaled (multiplied) by same number. That number is called the scale factor of that dilation.

It's also called scaling of a figure, but due the involvement of coordinates, it involves a center of a dilation, which is like a pinned point which stays at same place after dilation.

It's like we enlarge or shorten the size of the figure (or keep it same, when scale factor = 1).

Given that Under a dilation centered at the origin, the vertex, (−2, 4), of a polygon is moved to the point (4, −8) .

Then the scale factor of the dilation

(-2k , 4k )= (4, −8)

Thus, -2k = 4

k = -2

Hence, the scale factor of the dilation is -2.

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on a certain day, the temperature changed at a rate of 3°F per hour. How long did it take for the change in temperature to be -33°F?

Answers

Answer:

I think 11 hours.

Step-by-step explanation:

If I know starting temp such as 0 degrees then I can say that it would take 11 hours as 11*3 = 33. If it is 3 degrees, then it would 3*12 = 36 degrees.

A local meteorologist reports the day's weather. "Currently sunny outside, 34°F. Skies will become overcast later this afternoon, as temperatures drop to 25°F, with windy conditions out of the north at 10–15 miles per hour. Radar indicates 2–3 inches of snow expected to fall later tonight." Which information is qualitative? These are non-numerical, descriptive data. These are numerical data that have been measured. "sunny" "25°F" "2–3 inches of snow" "10–15 miles per hour"

Answers

Answer:

"2-3 inches of snow":)

Step-by-step explanation:

The Qualitative information is "2–3 inches of snow".

What is Qualitative?

Quantitative methods emphasize objective measurements and the statistical, mathematical, or numerical analysis of data collected through polls, questionnaires, and surveys, or by manipulating pre-existing statistical data using computational techniques.

Here, given that,

A local meteorologist reports the day's weather. "Currently sunny outside, 34°F. Skies will become overcast later this afternoon, as temperatures drop to 25°F, with windy conditions out of the north at 10–15 miles per hour. Radar indicates 2–3 inches of snow expected to fall later tonight."

Now , we know that the qualitative information is "2–3 inches of snow".

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a store is inplementing a 5% increase on all of their prices. write both the decimal and the fraction equivalent to the increase

Answers

Answer:

0.05 decimal and 1/20 as fraction

Step-by-step explanation:

Use a conversion factor to convert 872 meters (m) to millimeters (mm).

Answers

Hey there! I'm happy to help!

There are 1,000 millimetres in 1 meter. So, we multiply by 1,000.

872(1000)=872,000

There are 872,000 mm in 872 m.

Have a wonderful day! :D

Using distributive property and combining like terms simplify the expression.
-9(1-10n)-2(3n+9)​

Answers

Answer: -27 + 84n

Step-by-step explanation:

**Shown in image...the arcs represent distributive property. This is a good way to separate your work. After distributing, you then have your like terms. Combine ‘1 underline’ with another, ‘2 underline’ with another.

If you need any more help, please let me know. :)

You used a telescope and other mathematics to discover that Jupiter is 5.20 au from the sun. Use the equation to find its orbital period. Round to the nearest tenth of a year.

Answers

Answer:

11.9 au

Step-by-step explanation:

The orbital period of Jupiter around the sun is 11.9 years.

Here, we have,

To solve this question, we need to understand the concept of Kelper's Third Law and how to use it.

we know that,

Kelper's Third Law:

Kelper's Third Law posits that the ratio between the square of the orbital period (T) as well as the average distance cube of a planet away from the Sun is constant for all planets circling the Sun.

T²/r³ = constant

Suppose, we make a reference to Earth, we have:

T_e²/r_e³ = T_j²/r_j³

Making the orbital period (T_j) of Jupiter as the subject, we have:

T_j = √T_e² * r_j³ /r_e³

where;

r_e = avg. distance from earth to sun = 1 au

so, calculating we get,

T_j  = 11.9 years.

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Find the product of 25*(-5)

A. 20

B. -30

C. -125

D. 100

Answers

Answer:

C.-125

Step-by-step explanation:

bc it is a positive with a negative

Answer:

C

Step-by-step explanation:

25 * 5 = 125. When the 5 is negative it would make the number negative when multiplying any number because its absolute.

ax+3=23 if a=0 plz help

Answers

Answer:

x = [tex]\frac{23}{a}[/tex]

Step-by-step explanation:

Given equation is,

ax + 3 = 23

To solve this equation for the value of x isolate the variable 'x' on the one side of the equation.

Step 1,

Subtract 3 from both the sides of the equation.

ax + 3 - 3 = 23 - 3

ax = 20

Step 2,

Divide the equation by a,

[tex]\frac{ax}{a}=\frac{23}{a}[/tex]

x = [tex]\frac{23}{a}[/tex]

Therefore, x = [tex]\frac{23}{a}[/tex] will be the answer.

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