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expeople1 [14]
3 years ago
5

Jessie has a piece of cardboard that is 8.5 inches by 11 inches. Sh makes a picture frame with the cardboard by cutting out a 4

inch by 4 inch square from the center of the cardboard. What is the area of the frame?
Mathematics
1 answer:
vagabundo [1.1K]3 years ago
7 0
First, we determine the area of the piece of cardboard by multiplying its dimensions. 
                area of cardboard = (8.5 inches) x (11 inches) = 93.5 in²
Then, we solve for the area of the cut out square,
              area of the square = (4 inches) x (4 inches) = 16 in²
Then, we subtract the areas giving us the area of the frame which is equal to,
                          77.5 in²
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Simplify the expression so there is only one positive power for each base. ​
katen-ka-za [31]

Answer:

Option (A)

Step-by-step explanation:

The given expression is,

(5^{-2}\times 4^{-4})^{-2}

Since x^{-1}=\frac{1}{x} and \frac{1}{x^{-1}}=x

5^{2}=\frac{1}{5^{-2}}

4^{2}=\frac{1}{4^{-2}}

Therefore, (5^{-2}\times 4^{-4})^{-2}=\frac{1}{(5^{-2}\times 4^{-4})^{2}}

                                         =\frac{1}{(5^{-2})^2\times (4^{-4})^2}

                                         =\frac{1}{5^{-4}\times 4^{-8}}

                                         =\frac{1}{5^{-4}}\times \frac{1}{4^{-8}}

                                         =5^{4}\times 4^{8}                            

Option (A) will be the answer.                                          

8 0
3 years ago
A circle has a circumference of 7,850 units. What is the radius of the circle?
ioda

Answer:1250 units

Step-by-step explanation:

circumference=7850

Radius=?

Radius=circumference ➗ (2xπ)

Radius=7850 ➗ (2 x 3.14)

Radius=7850 ➗ (6.28)

Radius=1250 units

8 0
3 years ago
Which number is less than -4. 5 plz no links. ​
Rainbow [258]
Answer:
-5

explanation:
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3 0
3 years ago
A room has an area of 60 square meters and a perimeter of 32 meters. What are the length and width of the room?
SOVA2 [1]
6 and 10 because 6 times 10 is 60 and 6 plus 6 plus 20 plus 10 is 32
4 0
3 years ago
Read 2 more answers
What is the slope of the line represented by the equation y = 4/5x-3
icang [17]

Answer:

<em>m</em> = 4/5

General Formulas and Concepts:

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define Equation</u>

y = 4/5x - 3

<u>Step 2: Break Function</u>

<em>Identify Parts</em>

Slope <em>m</em> = 4/5

y-intercept <em>b</em> = -3

7 0
3 years ago
Read 2 more answers
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