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
Harlamova29_29 [7]
3 years ago
10

A circular swimming pool has a radius of 28 ft. There is a path all the way around the pool that is 4 ft wide. A fence is going

to be built around the outside edge of the pool path.
Mathematics
1 answer:
rewona [7]3 years ago
4 0

Answer:

Step-by-step explanation:

You might be interested in
When a polynomial is divided by (x+2), the remainder is -19. When the same polynomial is divided by (x-1), the remainder is 2. D
NeTakaya
<h3>Answer:   7x - 5</h3>

============================================

Explanation:

We're dividing some unknown polynomial P(x) over (x+2) to get a quotient Q1(x) and remainder -19. That must mean

P(x)/(x+2) = Q1(x) - 19/(x+2)

P(x) = Q1(x)*(x+2) - 19

Note that plugging in x = -2 leads to P(-2) = -19. This is an example of the remainder theorem.  

Similarly,

P(x) = Q2(x)*(x-1) + 2

since dividing by (x-1) leads to a remainder of 2. We have P(1) = 2.

We'll use P(-2) = -19 and P(1) = 2 in the later sections below.

----------------

We want to find the value of r such that

P(x) = Q3*(x+2)(x-1) + r

Let's say that r = ax+b

Meaning we now have

P(x) = Q3*(x+2)(x-1) + r

P(x) = Q3*(x+2)(x-1) + ax+b

The goal from here is to find 'a' and b so we can get the remainder ax+b.

----------------

Plug in x = -2 and solve for b.

P(x) = Q3*(x+2)(x-1) + ax+b

P(-2) = Q3*(-2+2)(-2-1) + a(-2)+b

-19 = Q3*(0)(-3)-2a+b

-19 = -2a+b

b = 2a-19

----------------

Plug in x = 1 to get...

P(x) = Q3*(x+2)(x-1) + ax+b

P(1) = Q3*(1+2)(1-1) + a(1)+b

P(1) = a+b

2 = a+b

a+b = 2

a+(2a-19) = 2 .... plug in b = 2a-19

3a-19 = 2

3a = 19+2

3a = 21

a = 21/3

a = 7

Use that value to find b

b = 2a-19

b = 2(7)-19

b = 14-19

b = -5

----------------

We found that a = 7 and b = -5.

The remainder ax+b updates to the final answer 7x-5

6 0
3 years ago
Find two consecutive odd numbers such that the sum of the first number and one-third of the second number is equal to fifty. 35
kobusy [5.1K]
The answer is 37 and 39.
(39/3)+37= 50
4 0
3 years ago
Read 2 more answers
A circle with the radius of 1cm sits inside a 3cm×4cm rectangle. What is the area of the shaded region?
Tanya [424]

Answer:

8.86

Step-by-step explanation:

Im guessing you want the rectangles area

Finding circle area do radius times radius times 3.14 so 1 x 1 = 1 x 3.14 = 3.14

Rectangle area is length times width so 3 x 4 = 12 - 3.14 = 8.86

8 0
3 years ago
What to do ??<br> i need help please <br> asap <br> one question left
maks197457 [2]

Answer: (x^{\frac{2}{7}})(x^{\frac{3}{5}})

Step-by-step explanation:

If you took the nth root of x, it is the same as raising x to the power of 1/n. Therefore:

\sqrt[7]{x^{2} }  = (x^{2} )^{1/7} = (x^{\frac{2}{7}})\\\sqrt[5]{x^{3} }  = (x^{3} )^{1/5} = (x^{\frac{3}{5}})

And multiply:

(x^{\frac{2}{7}})(x^{\frac{3}{5}})

3 0
3 years ago
QUESTION 16<br> What is the absolute value of -72?
11Alexandr11 [23.1K]

The absolute value of -72 is 72.

Absolute value is essentially just making the number given positive.

If the given number is already positive then the absolute value is the same as the original number

Hope this helped!

~Just a girl in love with Shawn Mendes

3 0
3 years ago
Read 2 more answers
Other questions:
  • <img src="https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B3%7D%7B%7B%20%5Ctimes%20%7D%5E%7B2%7D%20%20-%201%7D%20" id="TexFormula1
    8·2 answers
  • 8thgrade 9^2 plus 3^2
    10·2 answers
  • PLEASE HELP!! <br><br> Evaluate f(-7).<br><br> f(x) = 3x2
    15·1 answer
  • A cereal box has a volume of 441 cubic inches. Its height is 12 inches, its width is x inches, and its length is (x+7) inches. W
    15·1 answer
  • Which system is equivalent to StartLayout Enlarged left-brace 1st row y = 9 x squared 2nd row x + y = 5 EndLayout StartLayout En
    8·2 answers
  • Harriet spins this 6 colour spinner and flips a coin.
    6·1 answer
  • 5/8 + 3/4 / -2/3- 5/6
    13·1 answer
  • Nm dont do the question I posted earlier I had done was just bored​
    6·2 answers
  • HEEELLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
    14·2 answers
  • Which expression represents the algebraic phrase ""nine times a number plus thirteen""? 9 minus y 13 9 y minus 13 9y 13 13y 9.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!