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Wittaler [7]
3 years ago
12

A rectangular pool has dimensions of 40 ft. and 60 ft. The pool has a patio area around it that is the same width on all sides.

If the patio area equals the area of the pool, how wide is the distance from the pool edge to the patio edge? If x represents the width of the patio, then which of the following equations could be used to solve the word problem?

Mathematics
2 answers:
romanna [79]3 years ago
5 0

Answer:

Area of pool part = Area of large rectangle - Area of the pool

Area of pool area = Area of the pool = 40 × 60 = 2400 ft²

2400 = Area of large rectangle - 2400

Area of massive rectangle = 2400 + 2400

Area of big rectangle = 4800

Length × width = 4800

From the diagram, we need the length to be [x + x] more than the period of the pool, wherein x is the distance from the pool facet to the patio area.

We also want the width of the huge rectangle to be [[x + x] more than the width of the pool.

Length = 60 + 2x

Width = 40 + 2x

Length × Width = [60+2x] × [40+2x]

4800 = 2400 + 120x + 80x + 4x²

0 = 4x² + 200x - 2400

zero = 4[x² + 50x - 600]

0 = x² + 50x - 600

zero = [x - 60] [x + 10]

x - 60 = 0 OR x + 10 = zero

x = 60 OR x = -10

We can only use the positive price of x for the reason that context is duration.

x = 60

drek231 [11]3 years ago
3 0
The complete question in the attached figure

let
x-------> <span>the width of the patio

we know that
area of the pool=40*60-----> 2400 ft</span>²

area of the patio=[(40+2x)*(60+2x)]-2400
area of the patio=2400 ft²
so
[(40+2x)*(60+2x)]-2400=2400
2400+80x+120x+4x²-4800=0
4x²+200x-2400=0------> divide by 4 both sides----> x²+50x-600=0

therefore
the answer is
x²+50x-600=0

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the diagram shows a star made by surrounding a regular octagon with triangles, explain why angle a must be 135 degrees
horsena [70]

Answer:

From the sum of angles on a straight line, given that the rotation of each triangle attached to the sides of the octagon is 45° as they move round the perimeter of the octagon, the angle a which is supplementary to the angle turned by the triangles must be 135 degrees

Step-by-step explanation:

Given that the triangles are eight in number we have;

1)  (To simplify), we consider the five triangles on the left portion of the figure, starting from the bottom-most triangle which is inverted upside down

2) We note that to get to the topmost triangle which is upright , we count four triangles, which is four turns

3) Since the bottom-most triangle is upside down and the topmost triangle, we have made a turn of 180° to go from bottom to top

4) Therefore, the angle of each of the four turns we turned = 180°/4 = 45°

5) When we extend the side of the octagon that bounds the bottom-most triangle to the left to form a straight line, we see the 45° which is the angle formed between the base of the next triangle on the left and the straight line we drew

6) Knowing that the angles on a straight line sum to 180° we get interior angle in between the base of the next triangle on the left referred to above and the base of the bottom-most triangle as 180° - 45° = 135°.

6 0
3 years ago
Can someone answer this no bots please I will give you brainliest… please
Jobisdone [24]

Answer: Alice

Step-by-step explanation: Alice won because she started furthest From the starting line.

5 0
2 years ago
A cab company charges three dollars per cab ride plus an additional two dollar per mile driven how long is a cab ride that cost
Sav [38]

If the ride cost $9 then the miles will be 3 miles.

Step-by-step explanation:

In this question we are given:

Cost of one cab ride R = $3

Additional Cost per mile M = $2

So, Total cost of Cab Ride = $3 + $2M

If cost of cab ride is $9 then we need to find the miles

$3 + $2M = $9

Solving

$2M = $9 - $3

$2M = $6

=> M = $6/$2

M = 3 miles

So, if the ride cost $9 then the miles will be 3 miles.

Learn more:

You can find more information at:

brainly.com/question/11207748

brainly.com/question/1600376

Keywords: algebraic expressions, solve an equation

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6 0
3 years ago
A Company received an invoice for $1618 dated May 11, terms 2/15 EOM.
Alona [7]

Answer:

26th of May is the last date of the discount period.

15th of June is the last date of credit period

$1600

Step-by-step explanation:

The first question say :

What is the last date of the discount period and last date of credit period?

Initially, EOM is an acronym  meaning End of Month

Now. 2/15 indicates 2%  discount of the amount to be paid must be included in the payment within 15 days after the end of the month in which invoice is issued.

  • The last date of the discount period

In order for the company to be eligible for the discount, the company  must be willing to pay the invoice within the stipulated time -frame of 15 days from the date the invoice is being issued. So from 11th of May , 15 days after will be May 26th . Thus 26th of May is the last date of the discount period.

  • The  last date of credit period

The last date of the credit period will be 15 days  after the end of the Month. The present month is May, so 15 days after the month of May falls at June 15. Thus, 15th of June is the last date of credit period

The second part of the question says:

• If invoice is paid on June 12, how much would the company pay? (Round your answers to the nearest hundredth)

Here , there are two things applied;

  1. The date of the discount period has been passed away (i.e May 26th) but the invoice is being paid on June 12
  2. The payment is done before the last date of credit period.

Thus, the company needs to pay the full amount of $1618 since the date of discount period has passed away.

Now to the nearest hundredth , we have = $1600

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24 decreased by the quotient and of a number 6 is -5
lidiya [134]
24-x/6=-5
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