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ra1l [238]
2 years ago
15

An archaeologist at a dig sets up a coordinate system using string. Two similar artifacts are found one at position (1, 4) and t

he other at (5, 2). How far apart were the two artifacts? Round to the nearest tenth of a unit if necessary
Mathematics
1 answer:
myrzilka [38]2 years ago
4 0

Given:

Positions of two artifacts are at points (1, 4) and (5, 2).

To find:

The distance between these two artifacts.

Solution:

Distance formula: The distance between two points is

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

Using distance formula, the distance between two points (1, 4) and (5, 2) is

d=\sqrt{(5-1)^2+(2-4)^2}

d=\sqrt{(4)^2+(-2)^2}

d=\sqrt{16+4}

d=\sqrt{20}

d=4.4721359

Round to the nearest tenth of a unit.

d\approx 4.5

Therefore, the distance between two artifacts is 4.5 units.

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zavuch27 [327]

Answer:

B

Step-by-step explanation:

If 5 is the radius, then we need to multiply by 2 to get the diameter.

10 is the diameter.

Multiply by pi to get your answer

10pi is 31.4.

B-31.4.

Hope this helped!

4 0
2 years ago
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DIA [1.3K]

Answer:

Shyla will pay about 63 cents to cover the box

Step-by-step explanation:

Length of the box ( l ) = 7 inches

Width of the box (b) = 11 inches

Height of the box (h) = 8 inches

<em></em>

<em>We can solve this equation by following two simple steps.</em>

1. The first step is to find the total surface area of the box. This is the total area that the decorative fabric will be covering.

We can get this by the following formula:

SA=2( length X width) +2( length X height )+2(height X width)

SA = 2( 7 X 11 ) + 2(7 X 8) + 2 (8 X 11 ) = 442 square inches

2. The second step is to divide the total surface area by the price of the fabric per square inch.

This will be 442 square inches divided by 7 cents per square inch  = 63.14 cents

Shyla will pay about 63 cents to cover the box

4 0
2 years ago
What is the value of y in the equation 6 + y = −3?
oee [108]
The value of y is -9
6 0
3 years ago
7-41=<br><br> (-15)+33=<br><br> 62-84=<br><br> (-26)-14=
Gala2k [10]

Answer:

-34

18

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-40

Explanation:

8 0
3 years ago
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A = cost of 1 drink $12.75 + 4a $12.75 + $12.00 = $24.75

7 0
2 years ago
Read 2 more answers
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