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
RSB [31]
3 years ago
13

Lucy’s parents built a swimming pool in the backyard. Use 3.14 for π.

Mathematics
1 answer:
Neporo4naja [7]3 years ago
8 0

Answer:

Distance around the pool = 162.8 feet

Area of the pool = 957 square feet

Step-by-step explanation:

Distance around the swimming pool = Perimeter of the pool

Perimeter of the pool which is a composite figure will be,

= Circumference of the semicircle + Sum of three sides of the pool

= πr + 2×(length of the pool) + width of the pool

= 3.14×(10) + 2×40 + 20

= 62.8 + 80 + 20

= 162.8 ft

Area of the pool = Area of the semicircle + Area of the rectangular pool

                           = \frac{1}{2}(\pi)(r)^{2}+(\text{length}\times \text{Width})

                           = \frac{1}{2}(3.14)(10)^2+(40\times 20)

                           = 157 + 800

                           = 957 square feet

You might be interested in
(2pm^-1q^0)^-4 • 2m ^-1 p^3 / 2pq^2
Montano1993 [528]

Answer:

\dfrac{m^3}{16p^2q^2}

Step-by-step explanation:

Given:

(2pm^{-1}q^0)^{-4}\cdot \dfrac{ 2m^{-1} p^3}{2pq^2}

1.

m^{-1}=\dfrac{1}{m}

2.

q^0=1

3.

2pm^{-1}q^0=2p\cdot \dfrac{1}{m}\cdot 1=\dfrac{2p}{m}

4.

(2pm^{-1}q^0)^{-4}=\left(\dfrac{2p}{m}\right)^{-4}=\left(\dfrac{m}{2p}\right)^4=\dfrac{m^4}{(2p)^4}=\dfrac{m^4}{16p^4}

5.

m^{-1}=\dfrac{1}{m}

6.

2m^{-1} p^3=2\cdot \dfrac{1}{m}\cdot p^3=\dfrac{2p^3}{m}

7.

\dfrac{ 2m^{-1} p^3}{2pq^2}=\dfrac{\frac{2p^3}{m}}{2pq^2}=\dfrac{2p^3}{m}\cdot \dfrac{1}{2pq^2}=\dfrac{p^2}{mq^2}

8.

(2pm^{-1}q^0)^{-4}\cdot \dfrac{ 2m^{-1} p^3}{2pq^2}=\dfrac{m^4}{16p^4}\cdot \dfrac{p^2}{mq^2}=\dfrac{m^3}{16p^2q^2}

8 0
3 years ago
What is m∠Q ?
ddd [48]
Unlike the previous problem, this one requires application of the Law of Cosines.  You want to find angle Q when you know the lengths of all 3 sides of the triangle.

Law of Cosines:  a^2 = b^2 + c^2 - 2bc cos A

Applying that here:

                           40^2 = 32^2 + 64^2 - 2(32)(64)cos Q

Do the math.  Solve for cos Q, and then find Q in degrees and Q in radians.

7 0
2 years ago
Read 2 more answers
If Point P is between Q and R and QP = 16 and Qr = 52. What is the length of PR?
Dimas [21]
1) Here, QR = QP + PR

52 = 16 + PR

PR = 52 - 16 = 36

In short, Your Answer would be Option C

2) Slope of mentioned line:
m = (5+5) / (0-4)
m = 10/-4
m = -5/2

Parallel lines have same slope so it would be -5/2 as well

In short, Your Answer would be Option B

Hope this helps!
5 0
3 years ago
Help ASAP need to be done
Artist 52 [7]
The answer for the graph is x ≤ 5
6 0
2 years ago
Read 2 more answers
X/3 +11=1/15 solve the following equation
fenix001 [56]
<span>here is what i get :
x/3+11-(1/15)=0 </span>
7 0
2 years ago
Read 2 more answers
Other questions:
  • How can you use Place value when using partial quotients?
    15·1 answer
  • AH URGENT WHAT IS 23+8b=-4.2
    12·2 answers
  • Ramona owns a orange grove, and needs to harvest at least 2616 oranges to cover the costs of running the grove. If each tree bea
    14·1 answer
  • Please answer this. i really need help
    10·1 answer
  • Please help I need to turn it in in five mins
    6·1 answer
  • In AFGH, FG – HF and mZF = 56°. Find m_H.
    7·1 answer
  • Morgan is going to a carnival that has games and rides. Each game costs $2.50 and each ride costs $4.25. How much would Morgan h
    8·2 answers
  • Brianna brought 15 cookies to class for her and her friend. Brianna’s friend ate twice the amount of cookies as Brianna. Brianna
    13·2 answers
  • Explain why 5x4−6x7+15x4−6x7+1 is considered as a rational function?
    13·1 answer
  • There are some counters in a bag.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!