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Sidana [21]
4 years ago
10

A round cookie cake, divided into 8 equal pieces, has a diameter of 16 inches. Marty eats one piece of cake. What is the area of

the piece of cake that Marty eats? Leave your answer in terms of pi. A)4π in2 B) 8π in2 C)16π in2 D) 64π in2
Mathematics
1 answer:
Bumek [7]4 years ago
3 0
The piece that young Marty indulges in will be one-eigth the area of the entire cookie, since there are 8 equal pieces.
What is the area of the entire cookie cake?
The area of a circle is π*r²
The diameter is 16 inches, so the radius is 8 inches.
Area = π * 8²
Area = 64 π in²

The entire cookie has an area of 64 π in².
To find the area of Marty's piece, divide this number by 8:
64 π in² ÷ 8 = 8 π in²

Answer is B
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The expressions for the width, W, and area, A, of the rectangle in terms of L are:

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  • A = \frac{13L - L^{2} }{2}

The expression for the perimeter of a rectangle is given as:

P = 2(L + W)

where L is its length and W its width

a. Given that the perimeter of the rectangle is 13 feet, then;

13 = 2(L + W)

divide through by 2

\frac{13}{2} = L + W

So that;

W = \frac{13}{2} - L

The required formula for the width as a function of L is: W = \frac{13}{2} - L

b. Area of a rectangle can be expressed as;

A = L * W

substitute the expression for width in that of area to have

A = L * ( \frac{13}{2} - L)

  = \frac{13}{2}L - L^{2}

A = \frac{13L - L^{2} }{2}

The expression for the area A is: A = \frac{13L - L^{2} }{2}

Visit: brainly.com/question/10452031

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3 years ago
A bookstore pays $12.75 for hardcover books and charges $29.95. What is the maximum percent of discount that it can offer while
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Answer:

  A.  40.7%

Step-by-step explanation:

The selling price for a $5 profit will be ...

  $12.75 +5.00 = $17.75

From $29.95, this represents a change of ...

  (17.75 -29.95)/29.95 × 100%

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The bookstore can offer a maximum discount of about 40.7%.

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Hello!

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