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Vlad1618 [11]
4 years ago
9

Find the area of the polygon defined by the coordinates (0, -5), (-5, 0), (-15, -20), and (-20, -15). A) 90 square units B) 110

square units C) 130 square units D) 150 square units
Mathematics
2 answers:
kolezko [41]4 years ago
5 0

Answer: E. 150 square units.

Step-by-step explanation:A polygon is figure with at least 3 straight or definite sides or typically 5 or more straight sides.

Here the polygon we are given is a rectangle.

We know that,

Area of a rectangle = l x w

so we need to measure the length and width of the rectangle to find its area.

If we look closely, we can see the length of the rectangle above the x-axis is 8 units and the length below the x-axis 7 units which makes a total og 15 units.

Elden [556K]4 years ago
4 0

Answer:

D) 150 square units

Step-by-step explanation:

Use the distance formula: d = (x2 - x1)2 + (y2 - y1)2

A = L x W = 15/-2x 5/-2

= 150

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Answer:

Between 21 years and 75 years

Step-by-step explanation:

Given that a real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found that the mean age was 48 years old, with a standard deviation of 9 years.

X the ages of home buyers is N(48, 9)

a) 30\leq x\leq 66\\|x-48|\leq 18\\|x-48|\leq 2\sigma

Hence using Cheby chev inequality

P(|x-48|\leq 2\sigma)\geq 1-\frac{1}{2^2} \\=0.75

b) 25.5\leq x\leq 70.5\\|x-48|\leq 22.5\\|x-48|\leq 1.5\sigma

P(|x-48|\leq 1.5\sigma)\geq 1-\frac{1}{1.5^2} \\=0.556

c) Using normal distribution we have

P(|x-48|\leq 2\sigma)=0.95

d) z value is 2.97

Hence x lies between

(48-9*2.97, 49+9*2.97)\\=(21.27,74.73)

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Question 7 PLEASE HELP Describe the transformation from the graph of f(x)=x to the graph of g(x)=1/5x+4
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Given the figure below, calculate the area
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Answer:

<em>1+√3</em>

Step-by-step explanation:

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Area of the triangle = 1/2 * AC * BD

We need to get AC

AC = AD+DC

Get base AD using SOH CAH TOA

tan 45 = 4/AD

AD = 4/tan45

AD = 4/1

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DC = 4/tan 30

DC = 4/(1/√3)

DC = 4√3

AC = 4 + 4√3

AC = 4(1+√3)

Get the Area of the triangle

<em>Area = 1/2 * 4 *  4(1+√3)</em>

<em>Area of the triangle = 1+√3</em>

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