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
Natali5045456 [20]
3 years ago
10

A rectangular pool is surrounded by a walk 3 meters wide. The pool is 4 meters longer than its width. If the total area of the p

ool walk is 372 square meters more than the area of the pool, find the dimensions of the pool.
Mathematics
1 answer:
motikmotik3 years ago
7 0

x = 26 m is the width of the pool, length: 29+4 = 33 m.

<u>Step-by-step explanation:</u>

We have A rectangular pool is surrounded by a walk 3 meters wide. The pool is 4 meters longer than its width. If the total area of the pool walk is 372 square meters more than the area of the pool.

Let the width of the pool = x

Then the length will = (x+4) ,over all  dimensions will be (x+6) by (x+6+4) or (x+10)

Total area - pool area = 372

(x+10)*(x+6) - x(x+4) = 372\\x^{2}+16x+60-x^{2}-4x = 372\\12x+60 = 372\\12x = 372-60\\12x = 312\\x = 26

∴ x = 26 ft is the width of the pool, length: 29+4 = 33 ft

You might be interested in
Find the indicated unit rate.
Rom4ik [11]

Answer:

6,690 boxes per hour

Step-by-step explanation:

Given:

Number of boxes fill = 6,021

Time is taken = 0.9 hour

Find:

Number of boxes fill per hour

Computation:

Number of boxes fill per hour = Number of boxes fill (1 hour / Time taken)

Number of boxes fill per hour = 6,021 (1 hour / 0.9 hour)

Number of boxes fill per hour = 6,690

3 0
3 years ago
8. Simplify this expression. (3)10(3)–9
STALIN [3.7K]
Answer would be 81.
you multiply 3 x 10 x 3, which is 90. then subtract 9 from that and you end up with 81
4 0
3 years ago
Read 2 more answers
Express as a percentage<br>25​
motikmotik

Answer:

25000%

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Using the Law of Detachment if a polynomial is prime, then it cannot be factored. 5x+13y is prime.
frozen [14]

Answer and Step-by-step explanation: <u>Law</u> <u>of</u> <u>deduction</u> is a mathematical logic that states the following:

1) If p happens, then q happens;

2) p is true;

Then, a there is a third statement that is

3) q is also true.

In this question,

If a polynomial is prime, then it cannot be factored.

Statement p is that 5x + 13y is a polynomial and is prime, i.e., p is true.

Statement q is that "it cannot be factored"

Therefore, 5x + 13y cannot be factored.

6 0
4 years ago
On one of its routes across Asia, Alpha Airlines flies an aircraft with checked-in luggage capacity of 8500 lbs. There are 121 s
Doss [256]

Answer:

the probability is P=0.012 (1.2%)

Step-by-step explanation:

for the random variable X= weight of checked-in luggage, then if X is approximately normal . then the random variable X₂ = weight of N checked-in luggage = ∑ Xi  , distributes normally according to the central limit theorem.

Its expected value will be:

μ₂ = ∑ E(Xi) = N*E(Xi) = 121 seats * 68 lbs/seat = 8228 lbs

for N= 121 seats and E(Xi) = 68 lbs/person* 1 person/seat = 68 lbs/seat

the variance will be

σ₂² = ∑ σ² (Xi)= N*σ²(Xi) → σ₂ = σ *√N = 11 lbs/seat *√121 seats = 121 Lbs

then the standard random variable Z

Z= (X₂- μ₂)/σ₂ =

Zlimit= (8500 Lbs - 8228 lbs)/121 Lbs = 2.248

P(Z > 2.248) = 1- P(Z ≤ 2.248) = 1 - 0.988 = 0.012

P(Z > 2.248)= 0.012

then the probability that on a randomly selected full flight, the checked-in luggage capacity will be exceeded is P(Z > 2.248)= 0.012 (1.2%)

8 0
3 years ago
Other questions:
  • PLEASE HELP ME OUT ASAP! I WOULD REALLY APPRECIATE IT AND GOD BLESS
    12·1 answer
  • Gerhard's Bistro has an 5:8 ratio of lunch customers to dinner customers. It averages 40 lunch customers. What is its average nu
    5·2 answers
  • A covered bridge is 8 yards long. In a painting for sale at a gallery, the bridge in the painting to the actual length of the br
    9·1 answer
  • Answer ASAP, Will give brainliest!!
    9·2 answers
  • Whats 345*28923+808(2829)=
    14·2 answers
  • 1. Questions 1 and 2 refer to the figure shown.
    7·1 answer
  • The graph shows the quadratic parent function. Which statement best describes the function?
    7·1 answer
  • Y=x² – 8x + 16<br><br>So right now I'm trying to figure out the inverse relation ​
    7·1 answer
  • Tickets to a dance performance cost $9 for adults and $5 for kids. A group purchased 15 tickets and spent a total of $91. How ma
    7·1 answer
  • 2 questions please help
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!