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forsale [732]
3 years ago
6

WILL GIVE BRAINIEST!!! Polygon ABCDE is shown on the coordinate grid. What is the perimeter, to the nearest hundredth of a unit,

of polygon ABCDE?

Mathematics
1 answer:
Georgia [21]3 years ago
3 0

The perimeter of polygon ABCDE is 20.31 units.

Step-by-step explanation:

Step 1; First we plot points A, B, C, D and E on the graph. Coordinates are A (-3, 2), B (1, 2), C (3, -1), D(0, -3) and E (-4, -3). We need to find the distance between the 5 sides of the polygon i.e AB, BC, CD, DE, and AE.

Step 2; The sides AB and AE can be measured directly as they are horizontal lines. The x coordinate for A is -3 while for B it is 1, so distance is 1-(-3) = 4 units. The x coordinate for E is -4 while for D it is 0, so the distance is 0- (-4) = 4 units.

Step 3; To find the distances of BC, CD, and AE we use the formula

Distance = √ (x2 - x1)² + (y2 - y1)².

Distance between B (1, 2) and C (3, -1) where B is (x1, y1) and C is (x2, y2).

Distance = √(3 - 1)² + (-1 -2)² = √4 + 9 = √13 = 3.605 units.

Distance between C (3, -1) and D (0, -3) where C is (x1, y1) and D is (x2, y2).

Distance = √(0 -3)² + (-3 -(-1))² = √9 + 4 = √13 = 3.605 units.

Distance between A (-3, 2) and E (-4, -3) where D is (x1, y1) and E is (x2, y2).

Distance = √(-4 -(-3))² + (-3 -2)² = √1 + 25 = √26 = 5.099 units.

Step 2; The parameter of this polygon is given by summing the lengths of the 4 sides.

Parameter = AB + BC + CD + DE + AE = 4 + 3.605 + 3.605 + 4 + 5.099 = 20.309 units. This is rounded off to 20.31 units.

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frutty [35]

Answer:

[0.875;0.925]

Step-by-step explanation:

Hello!

You have a random sample of n= 400 from a binomial population with x= 358 success.

Your variable is distributed X~Bi(n;ρ)

Since the sample is large enough you can apply the Central Limit Teorem and approximate the distribution of the sample proportion to normal

^ρ≈N(ρ;(ρ(1-ρ))/n)

And the standarization is

Z= ^ρ-ρ  ≈N(0;1)

√(ρ(1-ρ)/n)

The formula to estimate the population proportion with a Confidence Interval is

[^ρ ± Z_{1-\alpha/2}*√(^ρ(1-^ρ)/n)]

The sample proportion is calculated with the following formula:

^ρ= x/n = 358/400 = 0.895 ≅ 0.90

And the Z-value is Z_{1-\alpha/2} = Z_{0.95} = 1.648 ≅ 1.65

[0.90 ± 1.65 * √((0.90*0.10)/400)]

[0.875;0.925]

I hope you have a SUPER day!

5 0
2 years ago
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mash [69]

Answer:

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Step-by-step explanation:

8 0
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Klio2033 [76]

Answer:

a) a_n=2(a_{n-1}), where a_1=5.

b)  a_n=5(2)^{n-1}

Step-by-step explanation:

The given sequence is


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The first term of the sequence is

a_1=5


The second term is a_2=10


The common ratio for this sequence can be determined using any two consecutive terms in the sequence.

Using the first two terms, the common ratio is

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a) The recursive rule is given by,


a_n=r(a_{n-1})


a_n=2(a_{n-1}), where a_1=5.


b) The explicit rule is given by a_n=a_1r^{n-1}


\Rightarrow a_n=5(2)^{n-1}





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