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8090 [49]
3 years ago
9

Maria's front yard is shaped like a trapezoid with the dimension 5ft 4ft and 7ft . What is the area of her front yard.

Mathematics
1 answer:
Art [367]3 years ago
3 0

Answer:

The area of her front yard is <u>31.5 ft²</u>.

Step-by-step explanation:

Given:

Maria's front yard is shaped like a trapezoid with the dimension 5ft, 4ft and 7ft.

Now, to find the area of her front yard.

Dimension of front yard:

Base (a) = 5 ft.

Second base (b) = 4 ft.

Height (h) = 7 ft.

So, to getting the area of trapezoid we put formula:

Area\ of\ trapezoid=\frac{a+b}{2} h

Area=\frac{5+4}{2} \times 7

Area=\frac{9}{2} \times 7

Area=4.5\times 7

Area=31.5\ ft^2.

Therefore, the area of her front yard is 31.5 ft².

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1) Write an expression to represent the pattern. 19, 27, 35, 43...
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Answer:

1) The expression to represent the pattern is 11 + 8n

2) The expression to represent the pattern is 80 - 9n

Step-by-step explanation:

1) * Lets study the pattern;

- 19 , 27 , 35 , 43 , ..................

∵ 27 - 19 = 8

∵ 35 - 27 = 8

∵ 43 - 35 = 8

∴ The difference is constant between each two consecutive terms

∴ It is an arithmetic sequence

* Lets take about the arithmetic sequence

- If the first term is a and the constant difference is d

∴ a1 = a , a2 = a + d , a3 = a + 2d , a4 = a+ 3d , ........

∴ an = a + (n - 1)d, where n the position of the term in the sequence

* Now we will use this rule to find the expression of our pattern

∵ a = 19 , d = 8

∴ an = 19 + (n - 1)(8) ⇒ an = 19 + 8n - 8 ⇒ an = 11 + 8n

* Lets check it;

∵ a3 = 11 + 8(3) = 11 + 24 = 35 ⇒ true

∴ The expression to represent the pattern is 11 + 8n

2) * Lets study the pattern;

- 71 , 62 , 53 , 44 , ..................

∵ 62 - 71 = -9

∵ 53 - 62 = -9

∵ 44 - 53 = -9

∴ The difference is constant between each two consecutive terms

∴ It is an arithmetic sequence

* We will use the same rule above to find the expression of the pattern

∵ a = 71 , d = -9

∴ an = 71 + (n - 1)(-9) ⇒ an = 71 + -9n + 9 ⇒ an = 80 - 9n

* Lets check it;

∵ a4 = 80 - 9(4) = 80 - 36 = 44 ⇒ true

∴ The expression to represent the pattern is 80 - 9n

8 0
4 years ago
Question 11 Multiple Choice Worth 1 points)
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Answer:

x = 35

Step-by-step explanation:

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56 + 51 = 107

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72 + 73 = 145

And now subtract it from 180

180 - 145 = 35

So x = 35

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