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leonid [27]
3 years ago
14

A square painting painting is surrounded by a frame. the outside edges of the frame are 3 inches in length, and the frame is 3 i

nches thick. What is the total area of the frame?
Mathematics
1 answer:
sdas [7]3 years ago
3 0

Answer:

Area = 36 inches ^ 2

Step-by-step explanation:

There must be an error with the statement, because it is strange that the length of the frame is equal to its thickness.

Assuming that the data supplied is correct, we can do the following procedure.

Let's call L the length of the frame.

We know how much each side of the square measures.

L = 3 inches

We also know that the thickness (s) is:

s = 3 inches.

Then the area of ​​the frame is equal to:

Area = Perimeter * thickness

Area = 4L*s

Area = 3*4*3

Area = 36 inches ^ 2

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Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions calulator?
fgiga [73]

Answer:

Degree = 4

Step-by-step explanation:

For the given conditions:

n = 4

i and 5i are zeros

f(-2) = 145

For zeros, it means they are a quadratic factor of the expression

It means, we will have x = ± i and x = ± 5i

therefore, the given factors are (x - i)(x + i)(x - 5i)(x + 5i)

Hence, we have the function

given degree = 4

f(x) = a(x-i)(x+i)(x-5i)(x+5i)

f(x) = a(x² + 1)(x² + 25)

Hence, substituting -2 for x, we have

f(-2) = a(5)(29) = 145

Hence, a = 1

f(x) = x⁴ + 26x² + 25

Therefore, we can see that the given degree = 4

3 0
4 years ago
Marcy determined that her father's age is the quotient of her age and 5, increased by 10. If x represents Marcy's age, write an
Hoochie [10]

Answer:

x / 5 + 10 or

Step-by-step explanation:

4 0
3 years ago
Help! please i cant figure it out.
ki77a [65]

let's recall that the graph of a function passes the "vertical line test", however, that's not guarantee that its inverse will also be a function.

A function that has an inverse expression that is also a function, must be a one-to-one function, and thus it must not only pass the vertical line test, but also the horizontal line test.

Check the picture below, the left-side shows the function looping through up and down, it passes the vertical line test, in green, but it doesn't pass the horizontal line test.

now, check the picture on the right-side, if we just restrict its domain to be squeezed to only between [0 , π], it passes the horizontal line test, and thus with that constraint in place, it's a one-to-one function and thus its inverse is also a function, with that constraint in place, or namely with that constraint, cos(x) and cos⁻¹(x) are both functions.

7 0
2 years ago
How to factor <br> 49y^{2}-9x^{2}
lorasvet [3.4K]

Answer:

(7y + 3x)(7y - 3x)

Step-by-step explanation:

a² - b² = (a + b)(a - b)

49y² - 9x² = (7y)² - (3x)²                   {a = 7y ; b - 3x}

               = (7y + 3x)(7y - 3x)

7 0
3 years ago
You download a video game to your computer. You have a 60 minute free trial of the game. It takes 5 minutes to set up the game a
den301095 [7]

Answer:

You can play 7 full levels for free.

Step-by-step explanation:

60-5= 55 minutes left to play

55/7=7.857

So.... 7 full levels for free

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3 years ago
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