Which set of data contains two outliers?

A farmer wants to fence a rectangular area of 72 square feet next to a river. Find the length and width of the rectangle which u

Arlecino [84]

Answer:

12 ft parallel to the river
6 ft perpendicular to the river

Step-by-step explanation:

The least fence is used when half the total fence is parallel to the river. That is, the shape of the rectangle is twice as long as it is wide.

72 = W(2W)

36 = W²

6 = W . . . . . . the width perpendicular to the river

12 = 2W . . . . the length parallel to the river

_____

Development of this relation

Let T represent the total length of the fence for some area A. Then if x is the length along the river, the width is y=(T-x)/2, and the area is ...

A = xy = x(T -x)/2

Note that the equation for area is that of a parabola with zeros at x=0 and at x=T. That is, for some fence length T, the area will be a maximum at the vertex of this parabola. That vertex is located halfway between the zeros, at ...

x = (0 +T)/2 = T/2

The corresponding area width (y) is ...

y = (T -T/2)/2 = T/4

Equivalently, the fence length T will be a minimum for some area A when x=T/2 and y=T/4. This is the result we used above.

8 0

3 years ago

Jaewon is 5 feet 3 inches tall. How many inches tall is Jaewon? O A. 53 inches B60 inches OC. 63 inches oc O D. 96 inches

nadezda [96]

Answer:

First, we determine how many inches in the board. (5 x 12) + 3. This gives you 63 total inches. You want three equal pieces so you divide 63 by 3 and the answer is 21 inches for each individual piece.

Step-by-step explanation:

First, we determine how many inches in the board. (5 x 12) + 3. This gives you 63 total inches. You want three equal pieces so you divide 63 by 3 and the answer is 21 inches for each individual piece.

8 0

2 years ago

Plzzzzzzzzz help meeeeeeeeeeeeee

zzz [600]

Answer:

Solution; x = - 2, x = 5

Step-by-step explanation:

We are given the following equation 2x^2 + 2x + 12 = 3x^2 - x + 2;

2x^2 + 2x + 12 = 3x^2 - x + 2 ⇒ Subtract 2 from either side,

2x^2 + 2x + 10 = 3x^2 - x ⇒ Add x on either side,

2x^2 + 2x + 10 = 3x^2 ⇒ Subtract 3x^2 on either side, simplifying result,

- x^2 + 3x + 10 = 0 ⇒ Factor out common term - 1,

- ( x^2 - 3x - 10 ) = 0 ⇒ Break expression into groups,

- ( x^2 + 2x ) + ( - 5x - 10 ) = 0⇒ Factor x from x^2 + 2x , and - 5 from - 5x - 10,

- ( x( x + 2 ) ) - 5( x + 2 ) = 0 ⇒ Factor out common term x + 2,

- ( x + 2 )( x - 5 ) = 0 ⇒ Apply Zero Factor Principle,

x + 2 = 0, and x - 5 = 0 ⇒ Simplify,

Solution; x = - 2, x = 5

7 0

3 years ago

Trapezoid EFGH ~ trapezoid MNOP. Find the value of y. answers in the picture

True [87]

Answer:

C

Step-by-step explanation:

6 0

3 years ago

The value of r? Do not round your answer.

bearhunter [10]

Answer:

r = 31.2

Step-by-step explanation:

Δ ACE and Δ BCD are similar, thus the ratios of corresponding sides are equal, that is

$\frac{AE}{BD}$ = $\frac{CE}{CD}$ , substitute values

$\frac{r}{19.5}$ = $\frac{64}{40}$ ( cross- multiply )

40r = 1248 ( divide both sides by 40 )

r = 31.2

8 0

3 years ago