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kherson [118]
3 years ago
13

I need help the question is what is the are of the composite figure

Mathematics
1 answer:
AlladinOne [14]3 years ago
3 0

Answer:

Option 4

Step-by-step explanation:

Area of a trapezoid = \frac{1}{2}(b_1+b_2)h

Here, b_1 and b_2 are the bases and 'h' is the height between the bases.

Area of the composite figure = Area of two trapezoids given

                                                = \frac{1}{2}(12+12)14+\frac{1}{2}(25+31)11

                                                = \frac{1}{2}(24)(14)+\frac{1}{2}(56)(11)

                                                = 168 + 308

                                                = 476 square ft

Option 4 is the answer.

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Select the correct answer.
EleoNora [17]

Answer:

Option (B)

Step-by-step explanation:

There are two lines on the graph representing the system of equations.

First line passes through two points (-3, 1) and (-2, 3).

Slope of the line = \frac{y_2-y_1}{x_2-x_1}

                           = \frac{3-1}{-2+3}

                       m = 2

Equation of the line passing through (x', y') and slope = m is,

y - y' = m(x - x')

Equation of the line passing through (-3, 1) and slope = 2 will be,

y - 1 = 2(x + 3)

y = 2x + 7 ----------(1)

Second line passes through (0, 1) and (-1, 4) and y-intercept 'b' of the line is 1.

Let the equation of this line is,

y = mx + b

Slope 'm' = \frac{y_2-y_1}{x_2-x_1}

               = \frac{4-1}{-1-0}

               = -3

Here 'b' = 1

Therefore, equation of the line will be,

y = -3x + 1 ---------(2)

From equation (1) and (2),

2x + 7 = -3x + 1

5x = -6

x = -\frac{6}{5}

x = -1\frac{1}{5}

From equation (1),

y = 2x + 7

y = -\frac{12}{5}+7

  = \frac{-12+35}{5}

  = \frac{23}{5}

  = 4\frac{3}{5}

Therefore, exact solution of the system of equations is (-1\frac{1}{5},4\frac{3}{5}).

Option (B) will be the answer.

5 0
3 years ago
Four students wrote sequences during math class.
N76 [4]
Doug because his sequence follows a rule of multiplying by -1/2 Hope I got it right for your sake.
6 0
3 years ago
Read 2 more answers
What is in simplest form? : 2/9+4/9
SIZIF [17.4K]
2/9 + 4/9 
first add them and then divide to get the simplest form ....
=6/9 
=2/3 ...

Hope it helps !!!
4 0
3 years ago
The area of a rectangular field is 6052 m².
Aleonysh [2.5K]

Answer:

<h2>length = 89 m</h2>

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

Area = 6052 m²

width = 68 m

To find the length substitute the values into the above formula

6052 = 68l

Divide both sides by 68

We have the final answer as

<h3>length = 89 m</h3>

Hope this helps you

5 0
3 years ago
Read 2 more answers
If you were to track coffee preferences among your co-workers for the next two weeks, which type of statistical study would you
Nostrana [21]

Answer:

Well I would say inferntial because its more testing your hyptohsis between two friends to see which coffe they like more

7 0
2 years ago
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