Around swimming pool has a circumference of 66 feet. carlos wants to buy a rope to put across the diameter of the pool. the rope costs $0.45 per foot, and carlos needs 4 more than the diameter of the pool. how much will carlos pay for the rope and what is the diameter? ( show work on paper)

Step-by-step explanation:

The formula for the circumference of a circle in terms of diameter is ...

  C = πd

Then the diameter is ...

  d = C/π

If we use π ≈ 22/7 and C = 66 ft, then we find the diameter to be ...

  d = (66 ft)/(22/7) = (66 ft)(7/22) = 21 ft

The diameter of the pool is about 21 feet.

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Since Carlos needs 4 more feet of rope, he will want to buy 25 feet of rope for a cost of ...

  (25 ft)($0.45 /ft) = $11.25

Carlos will pay $11.25 for the rope.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

answer: simile

step-by-step explanation: the difference between simile and metaphor is a simile describes with "as" and "like"