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2 years ago

The area of the surface of the swimming pool is 210 square feet. what is the lenght d of the deep end (in feet)?

Mathematics

1 answer:

madreJ [45]2 years ago

3 0

The lenth at the deep end is 12 ft becuase u divide 210 and 12 and if it goes into it evenly u got ur answer

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A pair of fair dice is cast. what is the probabiliy that the sum of the numbers falling uppermost is 9, given that at least one

WITCHER [35]

If a pair of fair dice is cast, the probability that the sum of the numbers falling uppermost is 9, given that at least one of the numbers falling uppermost is a 3 is given by:

$\frac{P(sum\, of\, 9\, \cup\,3)}{P(3)}$

The number of outcomes of sum of 9 where at last one is 3 is (3, 6) and (6, 3) = 2.

The number of outcomes of last one of the numbers falling uppermost is a 3 is (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (1, 3), (2, 3), (4, 3), (5, 3) and (6, 3) = 11.

Therefore, the probabiliy that the sum of the numbers falling uppermost is 9, given that at least one of the numbers falling uppermost is a 3 is 2 / 11.

5 0

2 years ago

Joey wants to build a rectangular garden. He plans to use a side of a river for one side of the garden, he will not place fencin

jonny [76]

We let x and y be the measures of the sides of the rectangular garden. The perimeter subtracted with the other side should be equal to 92.

2x + y = 92

The value of y in terms of x is equal to,

y = 92 – 2x

The area is the product of the two sides,

A = xy

Substituting,

A = x (92 – 2x) = 92x – 2x2

Solving for the derivative and equating to zero,

0 = 92 – 4x ; x = 23

Therefore, the area of the garden is,

A = 23(92 – 2(23)) = 1058 yard2

4 0

2 years ago

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If two lines are perpendicular describe the relationship between their slopes

Aloiza [94]

Perpendicular lines have slopes that are negative reciprocals. example: line a has a slope of 2/3, line b has a slope if -3/2 if they are perpendicular.

7 0

1 year ago

A length is measured as 21cm correct to 2 significant figures. what is the upper bound for the length?

Leno4ka [110]

the upper bound for the length is $21.5 cm$ .

Step-by-step explanation:

Lower and Upper Bounds

The lower bound is the smallest value that will round up to the approximate value.
The upper bound is the smallest value that will round up to the next approximate value.

Ex:- a mass of 70 kg, rounded to the nearest 10 kg, The upper bound is 75 kg, because 75 kg is the smallest mass that would round up to 80kg.

Here , A length is measured as 21cm correct to 2 significant figures. We need to find what is the upper bound for the length . let's find out:

As discussed above , upper bound for any number will be the smallest value in decimals which will round up to next integer value . So , for 21 :

⇒ $21.5 cm$

21.5 cm on rounding off will give 22 cm . So , the upper bound for the length is $21.5 cm$ .

7 0

2 years ago

If 24= 2f+3f+f, find f

VashaNatasha [74]

Answer:

6f = 24

f = 4

Step-by-step explanation:

3 0

1 year ago

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