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Nostrana [21]
3 years ago
9

Rachel bought a rug for her apartment. The rug is 11

Mathematics
1 answer:
belka [17]3 years ago
6 0
Answer: the diagonal is 14.21 feet. Explanation: So imagine the rug has the vertexes A, B, C, and D. The length (A to B) is 11 ft, and the width (B to C) is 9 ft. You want to find the distance between A and C. The AC line creates two right triangles in the rug, so you can use the Pythagorean theorem to solve the problem. The Pythagorean theorem is a^2 + b^2 = c^2 (or in this case, AB^2 + BC^2 = AC^2). Plug in the number (you should have 11^2 + 9^2 = AC^2). Simplify the equation to get 202 = AC^2. Square both sides to get the answer. You should an answer around 14.21 ft.
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the backyard of a new home is shaped like a trapezoid with a height of 42 ft and bases of 88 ft and 111 ft. what is the cost of
alina1380 [7]
I think it’s pretty interpretative, the reason I didn’t divide 483/2 like you would normally with a triangle, is because there are 2 triangles in a trapezoid. Also you can split the two triangles off the trapezoid because in a trapezoid the train for will awkward be right.

8 0
3 years ago
1. identify the content term in the expression
Bezzdna [24]

Answer:

A or D and D or B

Step-b y-step explanation:

3 0
2 years ago
Which expression is equivalent to 6^–3?
lara31 [8.8K]
Expression 6^–3 can be rewritten as:
1/6^3 = (1/6)^3

Therefore the answer is D

Hope that helps you
4 0
3 years ago
Read 2 more answers
Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, and the explicit formula.
Margaret [11]
Here we have a geometric progression!

Data:
n (Number of terms) = 8
a_{8} = ? (e<span>ighth term)</span>
<span>r (common ratio) = ?<span> 
a1 (first term)</span><span> = - 1
a2 second term) = - 4

If: </span></span>r =  \frac{ a_{2} }{ a_{1} } =  \frac{-4}{-1} \to\:\boxed{r= 4}

<span>Now, find the geometric progression
</span>Formula:
a_{n} =  a_{1} *r^{n-1}

Solving:
a_{n} = a_{1} *r^{n-1}
a_{8} = -1 *4^{8-1}
a_{8} = -1 *4^{7}
a_{8} = -1 *16384
\boxed{\boxed{a_{8} = -16384}}\end{array}}\qquad\quad\checkmark
5 0
2 years ago
A rectangle's length is three times its breadth x metres. Write an expression
MA_775_DIABLO [31]

Answer:

1. Perimeter = 8x m

2. Area = 3x² m²

Step-by-step explanation:

From the question given above, the following data were obtained:

Breadth (B) = x m

Length (L) = 3B = 3x m

Perimeter (P) =?

Area(A) =?

1. Determination of the perimeter of the rectangle.

Breadth (B) = x m

Length (L) = 3x m

Perimeter (P) =?

P = 2(L + B)

P = 2(3x + x)

P = 2(4x)

P = 8x m

Thus, the perimeter of the rectangle is 8x m

2. Determination of the area of the rectangle.

Breadth (B) = x m

Length (L) = 3x m

Area(A) =?

A = L × B

A = 3x × x

A = 3x² m²

Thus, the area of the rectangle is 3x² m²

3 0
2 years ago
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