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
rewona [7]
2 years ago
9

A hotel swimming pool is made up of four semicircles and a square. Find the perimeter of the swimming pool. Round your answer to

the nearest tenth. The perimeter is about yards.
Mathematics
1 answer:
erma4kov [3.2K]2 years ago
7 0

Answer:

75.4yd

Step-by-step explanation:

Find the diagram attached

Perimeter of the figure = perimeter of the 4 semicircles

Perimeter of a semicircle = πd/2

d is the diameter of the semicircle = 12yd

Perimeter of a semicircle = 3.14(12)/2

Perimeter of a semicircle = 37.68/2

Perimeter of a semicircle = 18.94yd

Perimeter of the 4 semicircles = 4 * 18.94

Perimeter of the 4 semicircles = 75.36yd

Hence the perimeter of the swimming pool to nearest tenth is 75.4yd

You might be interested in
-8 3/8+6 1/4 written in simplest form
natka813 [3]

Step-by-step explanation:

-8 3/8 + 6 1/4 = -2 1/8 or you can also write -17/8

<h2>hope this help you!! ;))</h2>
3 0
2 years ago
The owner of a chain of bookstores plans to close one of his stores. What is the best way to display the data below if he wants
adelina 88 [10]

Answer:

Bar Graph

Step-by-step explanation:

5 0
2 years ago
Consider the equation below. f(x) = 2x3 + 3x2 − 336x (a) Find the interval on which f is increasing. (Enter your answer in inter
Vaselesa [24]

We have been given a function f(x)=2x^3+3x^2-336x. We are asked to find the interval on which function is increasing and decreasing.

(a). First of all, we will find the critical points of function by equating derivative with 0.

f'(x)=2(3)x^{2}+3(2)x^1-336

f'(x)=6x^{2}+6x-336

6x^{2}+6x-336=0

x^{2}+x-56=0

x^{2}+8x-7x-56=0

(x+8)-7(x+8)=0

(x+8)(x-7)=0

x=-8,x=7

So x=-8,7 are critical points and these will divide our function in 3 intervals (-\infty,-8)U(-8,7)U(7,\infty).

Now we will find derivative over each interval as:

f'(x)=(x+8)(x-7)

f'(-9)=(-9+8)(-9-7)=(-1)(-16)=16

Since f'(9)>0, therefore, function is increasing on interval (-\infty,-8).

f'(x)=(x+8)(x-7)

f'(1)=(1+8)(1-7)=(9)(-6)=-54

Since f'(1), therefore, function is decreasing on interval (-8,7).

Let us check for the derivative at x=8.

f'(x)=(x+8)(x-7)

f'(8)=(8+8)(8-7)=(16)(1)=16

Since f'(8)>0, therefore, function is increasing on interval (7,\infty).

(b) Since x=-8,7 are critical points, so these will be either a maximum or minimum.

Let us find values of f(x) on these two points.

f(-8)=2(-8)^3+3(-8)^2-336(-8)

f(-8)=1856

f(7)=2(7)^3+3(7)^2-336(7)

f(7)=-1519

Therefore, (-8,1856) is a local maximum and (7,-1519) is a local minimum.

(c) To find inflection points, we need to check where 2nd derivative is equal to 0.

Let us find 2nd derivative.

f''(x)=6(2)x^{1}+6

f''(x)=12x+6

12x+6=0

12x=-6

\frac{12x}{12}=-\frac{6}{12}

x=-\frac{1}{2}

Therefore, x=-\frac{1}{2} is an inflection point of given function.

3 0
3 years ago
Can y’all help me on question 2 please?
Semmy [17]

Answer:

35 i think is the answer but im probably wrong

Step-by-step explanation:

3 0
3 years ago
What is the ratio 44/12 in simplest form
sladkih [1.3K]

Answer:

44/12 = 11/3 =  3   2/3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • BC is parallel to DE<br> What is AC?
    12·2 answers
  • Alex runs on the track at school each weekday morning. If he runs 5.9 miles each day, about how much does he run every month?
    8·2 answers
  • What is the mixed number for 18/15
    6·1 answer
  • What is the circumstance of the circle P .
    5·2 answers
  • I’m so stupid help omg growl bark bark bark
    15·1 answer
  • What is the opposite operation of squaring a number?
    15·1 answer
  • 100 points !!!!! thank you :)
    15·2 answers
  • Solve 2/3 = x/18 SOMEONE PLS HELP
    13·1 answer
  • During vacation, Dave and his brother, Scott,rode their bikes form their family's rental house to a pond to go fishing. Although
    6·1 answer
  • logan trades 50 pennies for nickels he gets a nickel for each group of 5 pennies what equation can be used to find how many nick
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!