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igomit [66]
2 years ago
8

Plz I need help this is due at 7:10

Mathematics
1 answer:
solmaris [256]2 years ago
7 0

Answer:

8units²

Step-by-step explanation:

Area of the trapezoid = 1/2(a+b)h

a and b are the opposite sides

h is the height

Take a square as 1 unit

a = 1 unit

b = 3 units

height h = 4 units

Substitute

A = 1/2(1+3)*4

A = 1/2 * 4 * 4

A = 16/2

A = 8units²

Hence the area of the trapezoid is 8units²

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Find the median of: 1, 3, 4, 6, 2, 4, 5, 6, 2, 3, 1, 4, 0, 4, 4, 4, 8, 9, 7, 4
Alborosie

Solution,

Arranging the data in ascending order:

0,1,1,2,2,3,3,4,4,4,4,4,4,4,5,6,6,7,8,9

N(total number of items)= 20

Now,

Median:

(\frac{n + 1}{2)} ) ^{th \: item}  \\  =  (\frac{20 + 1}{2} ) ^{th \: item}  \\  =  \frac{21}{2}  \\  = 10.5 \: th \: \: item

Again,

Median:

\frac{10  \: th \: item + 11 \: th \: item}{2}  \\  =  \frac{4 + 4}{2}  \\  =  \frac{8}{2}  \\  = 4

5 0
3 years ago
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Help please!!!
katovenus [111]

Answer:

x = \frac{7+\sqrt{47}\times i }{4}

Step-by-step explanation:

<u>To solve quadratic systems,we always substitute one variable in terms if the other and then solve the equation.</u>

x + 2y = 6                                 ---------------(1)

y - 5 = (x-2)^{2}         ---------------(2)

y = (x-2)^{2} + 5         ---------------(3)

Substitute (3) in (1) ,

x + 2( (x-2)^{2} + 5 ) = 6

(a + b)^{2} =a^{2} + 2ab + b^{2}

x + 2( x^{2} - 4x + 4 + 5 ) = 6

2x^{2} - 7x + 12=0      --------------(4)

The roots of the quadratic equation ax^{2}  +bx+c is

x = \frac{(-b) + \sqrt{(-b)^{2}-4 \times ac }  }{2 \times a}  -----------(5)

According to equation (5),solution of (4) is

x =  \frac{7 + \sqrt{(-7)^{2}-4 \times 24 }  }{2 \times 2}

x =  \frac{7+\sqrt{49-96}}{4}

x = \frac{7+\sqrt{47}\times i }{4}

 

4 0
3 years ago
Estimate a 20% tip on a dinner bill of \$173.26 by first rounding the bill amount to the nearest ten dollars .
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Answer:

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Step-by-step explanation:

173.25 - 20%

8 0
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PtichkaEL [24]

Answer:

m=4

Step-by-step explanation:

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m = 8 / 2

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Answer:

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= 2 x (-7) = -14

= (-322) - 30 + 11 = 281

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