Round 2,165.413 to the nearest hundredth.

The corners of a meadow are shown on a coordinate grid. Ethan wants to fence the meadow. What length of fencing is required?

Nuetrik [128]

Answer:

34.6 units

Step-by-step explanation:

The lenght of fencing required is the total distance between point A to B, B to C, C to D, and D to A. That is the distance between all 4 corners of the meadow.

The coordinates of the corners of the meadow is shown on a coordinate plane in the attachment. (See attachment below).

Let's use the distance formula to calculate the distance between the 4 corners of the meadow using their coordinates as follows:

Distance between point A(-6, 2) and point B(2, 6):

$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$A(-6, 2)) = (x_1, y_1)$

$B(2, 6) = (x_2, y_2)$

$AB = \sqrt{(2 - (-6))^2 + (6 - 2)^2}$

$AB = \sqrt{(8)^2 + (4)^2}$

$AB = \sqrt{64 + 16} = \sqrt{80}$

$AB = 8.9$ (nearest tenth)

Distance between B(2, 6) and C(7, 1):

$BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$B(2, 6) = (x_1, y_1)$

$C(7, 1) = (x_2, y_2)$

$BC = \sqrt{(7 - 2)^2 + (1 - 6)^2}$

$BC = \sqrt{(5)^2 + (-5)^2}$

$BC = \sqrt{25 + 25} = \sqrt{50}$

$BC = 7.1$ (nearest tenth)

Distance between C(7, 1) and D(3, -5):

$CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$C(7, 1) = (x_1, y_1)$

$D(3, -5) = (x_2, y_2)$

$CD = \sqrt{(3 - 7)^2 + (-5 - 1)^2}$

$CD = \sqrt{(-4)^2 + (-6)^2}$

$CD = \sqrt{16 + 36} = \sqrt{52}$

$CD = 7.2$ (nearest tenth)

Distance between D(3, -5) and A(-6, 2):

$DA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$D(3, -5) = (x_1, y_1)$

$A(-6, 2) = (x_2, y_2)$

$DA = \sqrt{(-6 - 3)^2 + (2 - (-5))^2}$

$DA = \sqrt{(-9)^2 + (7)^2}$

$DA = \sqrt{81 + 49} = \sqrt{130}$

$DA = 11.4$ (nearest tenth)

Length of fencing required = 8.9 + 7.1 + 7.2 + 11.4 = 34.6 units

8 0

3 years ago

In a community survey, 13/20 of the residents claim to recycle. If there are 720 residents, how many residents claim to recycle?

-BARSIC- [3]

Answer:

468

Step-by-step explanation:

make a proportion:

13/20 = x/720

20x?=720

20x36=720

whatever you do to the bottom you do to the top

13x36=468

468/720 residents claim to recycle

7 0

3 years ago

Find the area for rectangle for 15m by 3m

gizmo_the_mogwai [7]

The area of the rectangle would be 45 m^3

7 0

4 years ago

Read 2 more answers

If you want to graph the relationship to compare the unit prices, what should the x- and y-axes represent?

Rashid [163]

Answer:

The x-axis should be the units and the y-axis should be the prices.

Step-by-step explanation:

IF you guys have time, this is my explanation:

In a graph, we always think of "rise over run" or "y over x." Another way to write this is "y PER x." For example, 90 percent is "90 per 100," which can also be written as, "90 OVER 100." So, do we have price per unit or unit per price?

The answer would be, "unit per price." This is because the question asks to compare the unit prices, not the price units. Think unit price = unit PER price. Price unit = price PER unit. So the question asks, "For every unit, what will the price be?"

Therefore, units is x and prices are y because we are trying to compare price per unit, which we now know is y PER x.

7 0

3 years ago

Read 2 more answers

What is the balance of Alicia’s account in 7 years?

finlep [7]

what is the balance of alicias account in 7 years Answer: b

4 0

3 years ago