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alexdok [17]
2 years ago
6

A rhombus, which is a quadrilateral with 4 equal sides, is plotted on the coordinate plane. The coordinates of the vertices are:

(−1,0), (4,0), (2,4), and (7,4). How long is each side of the rhombus?
Mathematics
1 answer:
vova2212 [387]2 years ago
4 0

Answer:

Each side of the Rhombus is 5 units

Step-by-step explanation:

Since the sides of a rhombus area all equal in length;

Then, the length of a side is enough to get the lengths of the other sides

Mathematically, finding the distance between two points out of what we are given will be enough to get the measure of one of the side of the rhombus

We apply the distance formula appropriately to get the distance between the side of the Rhombus

D = √(x2-x1)^2 + (y2-y1)^2

let us use the points (-1,0) and (4,0)

D = √(4 + 1)^2 + (0-0)^2

D = √25

D = 5

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What is 360 to 30 in ratio
Pepsi [2]
360 to 30 can be written as 360:30 and call also be written as 360/30

\frac{360}{30} = \frac{36 \times 10}{3 \times 10}= \frac{36}{3} = \frac{12 \times 3}{1 \times 3} = \frac{12}{1}

360 to 30 simplified can be expressed as a ratio like 12:1, 12 to 1, or 12/1


7 0
3 years ago
Read 2 more answers
The diameter of the moon is 2,160 miles. A model has a scale of 1 in : 150 mi. What is the diameter of the model?
Charra [1.4K]

Answer:

The diameter of the model is 14.4 inches.

Step-by-step explanation:

The Diameter of the moon = 2,160 miles

The scale on the model represents 1 in = 150 miles

Let the model represents k inches in 2,160 miles.

So, by the Ratio of Proportionality:

\frac{1}{150}   = \frac{k}{2160}

⇒k = \frac{2160}{150} \\\implies k =  14.4

or, k = 14.4 inches

⇒On the scale 2160 miles is represented as 14.4 inches

    Hence the diameter of the model is 14.4 inches.

3 0
3 years ago
The three angles of a triangle measure 2x – 6, 3x + 5, and 2x + 20. What is the measure of the smallest angle in degrees
Radda [10]

Answer:

Smallest angle = 40

Step-by-step explanation:

Angle sum property:Sum of all three angles of triangle is 180

2x - 6 + 3x + 5 + 2x + 20 = 180   {Combine like terms}

2x + 3x + 2x - 6 + 5 + 20 = 180

                     7x  + 19       = 180            {Subtract 19 from both sides}

                                  7x = 180 - 19

                                  7x = 161               {Divide both sides by 7}

                                    x = 161/7

x = 23

2x - 6 = 2*23 - 6 = 46 - 6 = 40

3x + 5 = 3*23 + 5 = 69 + 5 = 74

2x + 20 = 2*23 + 20 = 46 + 20 = 66

Smallest angle = 40

8 0
3 years ago
Find the exact volume of a sphere with a radius of 6 inches
ladessa [460]

Answer:

904.778 in.

Step-by-step explanation:

Formula for volume of sphere:

4/3×(3.1426)×(radius)^3

=904.778 inches

4 0
2 years ago
Describe how the range of a data set can help describe its variability.
katovenus [111]

Answer:

The range is defined as the difference between the term with the highest value and the term with the lowest value. This statistic is used to measure the variability of a series of data because it provides information on how far apart the values of a tail of the distribution are from the values at the other end of the tail.

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This is:

10 ± 1 cm

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If you randomly select a sample of n pieces and measure them, the variability is expected to be low, so that your process is of quality, then expect a low range preferably less than 1 cm.

{10, 10.1, 10.5, 9.8, 9,6, 10.2} Range= 10.5 - 9.6 = 0.9 cm <em> low variability</em>

But if you find that the range is up to 8 cm, this would mean that not all pieces measure around 10 cm, it means that the variability of the measurements is high.

{14, 12, 11, 8, 7, 11, 12, 15} Range = 15 - 7 = 8 cm   <em>high variability </em>

6 0
3 years ago
Read 2 more answers
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