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wel
3 years ago
12

What's the area of a slice of pizza from a large pizza with radius 9 inches cut into 6 equal slices?

Mathematics
1 answer:
Alexxandr [17]3 years ago
3 0

Solution:

<u>Step-1: Find the area of the pizza.</u>

  • Area of pizza = πr²
  • => πr² = π x 9 x 9
  • => 81π = Area of pizza

<u>Step-2: Find the area of the slice.</u>

  • = 81π/6 = Area of slice
  • => 27π/2 = 13.5π = Area of slice

Option D is correct.

You might be interested in
15+9=?(5+3) please help
Tema [17]

Answer:

3

because 15 + 9 = 24

and 3(5 + 3) which is 3 * 5 + 3 * 3 = 15 + 9 = 24

= 24 = 24

Step-by-step explanation:

Please mark me as the brainliest

3 0
3 years ago
A rectangular field on a farm is to be fenced in using the wall of the barn for one side and 200 meters of fencing for the other
vitfil [10]

Answer:

Rectangular area as a function of x :   A(x)  = 200*x  + 2*x²

A(max) = 5000 m²

Dimensions:

x = 50 m

l  = 100 m

Step-by-step explanation:

"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:

A(r) = x* l     and the perimeter of the rectangular shape is

P = 2*x + 2*l   but we won´t use any fencing material along the wll of the barn therefore

P  =  2*x + l       ⇒   200 = 2*x  + l      ⇒   l  = 200 - 2*x      (1)

And the rectangular area as a function of x is:

A(x)  = x * ( 200 - 2*x)  ⇒  A(x)  = 200*x  + 2*x²

Taking derivatives on both sides of the equation we get:

A´(x)  =  200 - 4*x     ⇒   A´= 0

Then    200 - 4*x  = 0     ⇒   4*x =  200   ⇒  x  = 50 m

We find the l value, plugging the value of x in equation (1)

l  = 200 - 2*x     ⇒ l = 200 - 2*50   ⇒  l = 100  m

A(max)  =  100*50

A(max)  = 5000 m²

3 0
3 years ago
Write a quadratic function in standard form with zeros 1 and -10
Licemer1 [7]

Answer:

f(x)=x^2+9x-10

Step-by-step explanation:

<u>Standard Form of Quadratic Function</u>

The standard form of a quadratic function is:

f(x)=ax^2+bx+c

where a,b, and c are constants.

The factored form of a quadratic equation is:

f(x)=a(x-\alpha)(x-\beta)

Where \alpha and \beta are the roots or zeros of f, and a is constant.

We know the zeros of the function are 1 and -10. The function is:

f(x)=a(x-1)(x-(-10))

f(x)=a(x-1)(x+10)

Operating:

f(x)=a(x^2+10x-x-10)

Joining like terms:

f(x)=a(x^2+9x-10)

Since we are not given any more restrictions, we can choose the value of a=1, thus. the required function is:

\boxed{f(x)=x^2+9x-10}

6 0
3 years ago
F(x) = 2x^2+ 4x – 5<br> g() = 6x^3 – 2x^2 + 3<br> Find (f - g)(x).
RSB [31]

Answer:

d

Step-by-step explanation:

4 0
3 years ago
Eh whats the answer. thankssssssssss
sergey [27]

Answer:

Yea.. Its C

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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