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Alja [10]
3 years ago
15

Find the area of this irregular polygon.

Mathematics
1 answer:
nadya68 [22]3 years ago
8 0

Answer:

108 in^2

Step-by-step explanation:

Find the area of the rectangle on the bottom

A = l*w where the length is 8+6 and the width is 6

A = 14*6 =84

Find the area of the rectangle on the top

A = l*w where the length is 8 and the width is 9-6

A = 8*3 =24

Add the two areas together

84+24 = 108

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3 years ago
Write the equation of a line in point Slope form that passes through the points (-8,-3) and (2,2)
ella [17]

Answer:

The midpoint of the points (2,8) and (0,4) is given by:

(

2

x

1

+x

2

,

2

y

1

+y

2

)=(

2

2+0

,

2

8+4

)=(

2

2

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2

12

)=(1,6)

We must must transform the standard form equation −3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.

−3x+6y=5 (Subtract 3x on both sides.)

6y=3x+5 (Divide both sides by 6.)

y=

6

3

x+

6

5

y=

2

1

x+

6

5

The slope of our first line is equal to

2

1

. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is

x

1

.

The negative reciprocal of

2

1

is equal to −2, therefore, −2 is the slope of our line.

Since the equation of line passing through the midpoint (1,6), therefore, substitute the given point in the equation y=−2x+b:

6=(−2×1)+b

6=−2+b

b=6+2=8

Substitute this value for b in the equation y=−2x+b:

y=−2x+8

Hence, the equation of the line is y=−2x+8.

Step-by-step explanation:

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4 0
3 years ago
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lidiya [134]
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7 0
3 years ago
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What is the area of a triangle with a base of 50 feet and a height of 75 feet’
inysia [295]

Answer:

The correct answer is,

the area of given triangle = 1875 square feet

Step-by-step explanation:

Formula:

Area of triangle = bh/2

b - Base and h - height

It is given that,a triangle with a base of 50 feet and a height of 75 feet’

<u>To find the area of triangle</u>

base b = 50 feet and height h = 75 feet

Area = bh/2 = (50 x 75 )/2

Area = 3750/2 = 1875 square feet

Therefore the area of given triangle = 1875 square feet

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3 years ago
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After spending $3,450 for tables and $3,950 for chairs, a convention center manager finds that the total is 4% more than he spen
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We are given with two current costs : $3,450 for tables and $3,950 for chairs .The total cost then is equal to $7,400. This is said to be 4% more than he spent  last year. so last year's expenses should be <span> $7,400 / 1.04 equal to $7115.39. The cost last year is expected to be less</span>
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3 years ago
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