1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
murzikaleks [220]
3 years ago
13

A homeowner puts a patio in the northwest corner of a square backyard. The area of the patios is 750

Mathematics
1 answer:
miskamm [114]3 years ago
7 0

Answer:

17.6621ft²

Step-by-step explanation:

First we need to find the side length of the patio x

SInce the area of the patio = 750

Area of patio = x * x

Area of patio = x²

750 = x²

Swap

x² = 750

x = √750

x = 27.39ft

Length of the backyard = 27.39ft - 25ft = 2.39ft

Width of the backyard = 27.39ft - 20ft = 7.39ft

Area of the backyard = 2.39 * 7.39

Area of the backyard = 17.6621ft²

You might be interested in
What is 2 to the power of 4/3 equal to
Reika [66]

Answer:

<h2><u>E</u><u>k</u>sponent</h2>

\sf{ \large{ \boxed{ \red{ {a}^{ \frac{n}{m}  }  =  \sqrt[m]{ {a}^{n} } } } }}

\sf{ {2}^{ \frac{4}{3} } }

=  \sqrt[3]{ {2}^{4} }

=   \sqrt[3]{2 \times 2 \times 2 \times 2}

=   \boxed  {\bold{\sqrt[3]{16}(c.) }}

4 0
1 year ago
Find the smallest integer n for an O(xn) estimate of order of the function f(x)
alexdok [17]

Answer with explanation:

f(x)=\frac{(x^3+x^2+5)(x^4-3x^2)}{(2x^2+2x-3)(4x^2+7)}\\\\f(x)=\frac{x^3\times (x^4-3x^2)+x^2 \times (x^4-3x^2)+5 \times (x^4-3x^2)}{2x^2\times (4x^2+7)+2x(4x^2+7)-3\times (4x^2+7)}\\\\f(x)=\frac{x^7-3x^5+x^6-3x^4+5x^4-15x^2}{8x^4+14x^2+8x^3+14 x-12x^2-21}\\\\f(x)=\frac{x^7+x^6-3x^5+2x^4-15x^2}{8x^4+8x^3+2x^2+14 x-21}

The largest degree of numerator is 7 , while the largest degree of denominator is 4.So, as we know

 \frac{x^a}{x^b}=x^{a-b}\\\\\frac{x^7}{x^4}=x^{7-4}\\\\=x^3

→So, order of the function is the highest degree in the function raised to power.Highest degree is 3,when you will reduce the function in Expression form.

So, Degree=3

Order=1

6 0
3 years ago
Identify the angle between 0 and 360 degrees that is coterminal with the
Andrei [34K]

Answer:

option 2

Step-by-step explanation:

By repeatedly subtracting 360° from the given angle.

1155° - 360° = 795°

795° - 360° = 435°

435° - 360° = 75° ← coterminal angle

4 0
2 years ago
The sum of 4 consecutive even integers is -12. find the largest integer.
Ipatiy [6.2K]

Answer:

The largest even integer is 0

Step-by-step explanation:

Given as :

The sum of four consecutive even number = - 12

Let The first even number = 2 x

The second even number = (2 x + 2)

The third even number = (2 x + 4)

The fourth even number = (2 x + 6)

<u>According to question</u>

sum of four consecutive even number = - 12

Or, 2 x + (2 x + 2) + (2 x + 4) + (2 x + 6) = - 12

Or, (2 x + 2 x + 2 x + 2 x) + (2 + 4 + 6) = - 12

Or, 8 x + 12 = - 12

Or, 8 x = - 12 - 12

Or, 8 x = - 24

∴  x = \frac{- 24}{8}

i.e  x = - 3

now, putting the value of x

The first even number = 2 × - 3 = - 6

The second even number = (2 × - 3 + 2) = - 6 + 2 = - 4

The third even number = (2 × - 3 + 4) = - 6 + 4 = - 2

The fourth even number = (2 × - 3 + 6) = - 6 + 6 = 0

So, The largest even integer = 0

Hence, The largest even integer is 0  Answer

6 0
3 years ago
Find 24% of $240.<br> $576<br> $57.60<br> $100<br> $10
frozen [14]

Answer:

The answer is B. 57.6

Step-by-step explanation:

240 x .24 = 57.6

4 0
2 years ago
Other questions:
  • Which box-and-whisker plot matches the data?<br><br> 28,29,29,31,34,39,41,46,47,49,52,54
    10·1 answer
  • What is 63×.04 as a decimal
    8·1 answer
  • Y=3x+8 what is the answer for this slope
    12·1 answer
  • Keith received ninety-eight dollars and six movie tickets for his birthday. He went to
    13·2 answers
  • Victoria is 4 years older than her neighbor. The sum of their ages is no more than 14 years.
    13·2 answers
  • There are 560 third- and fourth-grade students in King Elementary School. If there are 80 more third-graders than fourth-graders
    9·1 answer
  • PLEASE HELP
    11·1 answer
  • Write the equation of the line given the slope and point that it passes through
    9·1 answer
  • Help plz. I just need the answers.
    8·1 answer
  • 6²+8²=12² is this triangle a right triangle? Explain
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!