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Vikki [24]
3 years ago
13

Pls help I can't understand ​

Mathematics
1 answer:
Marysya12 [62]3 years ago
5 0

Answer:

A

Step-by-step explanation:

This shape is a trapezoid. We can divide into two parts: a triangle and a rectangle.

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let A' be the area of the triangle.

● A'= (b*h)/2

b is the base and h is teh heigth.

b= 26-20 = 6 mm

● A'= (6*14)/2 = 42 mm^2

●●●●●●●●●●●●●●●●●●●●●●●●

Let A" be the area of the rectangle.

A"= L*w

L is the length and w is the width.

A"= 14*20

A"= 280 mm^2

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let A be the area of the trapezoid.

A= A'+A"

A= 42+280

A= 322 mm^2

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<u>Answer:</u>

x = 5.00 cm

<u>Step-by-step explanation:</u>

• area of the rectangle = x   x   (x + 1)

                                     = x^2 + x

• area of the circle = π r²

                               = \frac{22}{7}   x   (x + 2)^2

                               = \frac{22}{7}   x   (x^2 + 4x + 4)

∴   x^2 + x   +    \frac{22}{7}   x   (x^2 + 4x + 4)  = 184  

⇒  x^2 + x      +   \frac{22}{7}  x^2   \space\ + \space\ \frac{88}{7} x \space\  +  \space\  \frac{88}{7} = 184

⇒  \frac{29}{7}x^2 \space\  +  \space\  \frac{95}{7}x \space\ - \frac{1200}{7} = 0

• Using quadratic formula, where

a = \frac{29}{7}

b = \frac{95}{7}

c = \frac{-1200}{7} ,

x=\frac{-b \pm \sqrt{b^2-4c}}{2}

x = \frac{-\frac{95}{7}\pm \sqrt{(\frac{95}{7})^2 - 4(\frac{29}{7})(\frac{-1200}{7} )  }  }{2(\frac{29}{7})}

x = 5.00   \space\   \space\ \space\ or  \space\ \space\ \space\   x = -8.28

As length (x) cannot be a negative number,

x = 5.00 cm

7 0
2 years ago
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