Ask question

Ask question

All categories

3 years ago

6

: Emily’s family ordered a pizza for dinner. The radius of the pizza is 8 inches. How many square inches of pizza did Emily’s fa

mily get?

1 answer:

denpristay [2]3 years ago

5 0

Answer:

A = 201.06 square inches

Step-by-step explanation:

Radius of the pizza is 8 inches.

It is required to find the area of the pizza get by Emily's family.

Pizza is in the shape of circle. Area of a circular figure is given by :

$A=\pi r^2\\\\A=\pi (8)^2\\\\A=201.06\ in^2$

So, the Emily's family will get 201.06 square inches of pizza.

You might be interested in

Help me pls helpppppppppppppppppppppppppp

valentina_108 [34]

Answer:

the answer is c h2=k2=120%

Step-by-step explanation:

5 0

3 years ago

Jack cut a piece of wood that was 8 feet long into two pieces. One piece is three times as long as the other. How long is the sh

motikmotik

The shorter piece was 2 inches long.Theres your answer

3 0

3 years ago

Read 2 more answers

A graphing calculator is recommended. A function is given. g(x) = x4 − 5x3 − 14x2 (a) Find all the local maximum and minimum val

Taya2010 [7]

Answer:

The local maximum and minimum values are:

Local maximum

$g(0) = 0$

Local minima

$g(5.118) = -350.90$

$g(-1.368) = -9.90$

Step-by-step explanation:

Let be $g(x) = x^{4}-5\cdot x^{3}-14\cdot x^{2}$ . The determination of maxima and minima is done by using the First and Second Derivatives of the Function (First and Second Derivative Tests). First, the function can be rewritten algebraically as follows:

$g(x) = x^{2}\cdot (x^{2}-5\cdot x -14)$

Then, first and second derivatives of the function are, respectively:

First derivative

$g'(x) = 2\cdot x \cdot (x^{2}-5\cdot x -14) + x^{2}\cdot (2\cdot x -5)$

$g'(x) = 2\cdot x^{3}-10\cdot x^{2}-28\cdot x +2\cdot x^{3}-5\cdot x^{2}$

$g'(x) = 4\cdot x^{3}-15\cdot x^{2}-28\cdot x$

$g'(x) = x\cdot (4\cdot x^{2}-15\cdot x -28)$

Second derivative

$g''(x) = 12\cdot x^{2}-30\cdot x -28$

Now, let equalize the first derivative to solve and solve the resulting equation:

$x\cdot (4\cdot x^{2}-15\cdot x -28) = 0$

The second-order polynomial is now transform into a product of binomials with the help of factorization methods or by General Quadratic Formula. That is:

$x\cdot (x-5.118)\cdot (x+1.368) = 0$

The critical points are 0, 5.118 and -1.368.

Each critical point is evaluated at the second derivative expression:

x = 0

$g''(0) = 12\cdot (0)^{2}-30\cdot (0) -28$

$g''(0) = -28$

This value leads to a local maximum.

x = 5.118

$g''(5.118) = 12\cdot (5.118)^{2}-30\cdot (5.118) -28$

$g''(5.118) = 132.787$

This value leads to a local minimum.

x = -1.368

$g''(-1.368) = 12\cdot (-1.368)^{2}-30\cdot (-1.368) -28$

$g''(-1.368) = 35.497$

This value leads to a local minimum.

Therefore, the local maximum and minimum values are:

Local maximum

$g(0) = (0)^{4}-5\cdot (0)^{3}-14\cdot (0)^{2}$

$g(0) = 0$

Local minima

$g(5.118) = (5.118)^{4}-5\cdot (5.118)^{3}-14\cdot (5.118)^{2}$

$g(5.118) = -350.90$

$g(-1.368) = (-1.368)^{4}-5\cdot (-1.368)^{3}-14\cdot (-1.368)^{2}$

$g(-1.368) = -9.90$

7 0

3 years ago

April wants to share her peach cobbler with her mother, but she has already eaten a fourth of it. How much does she have left to

melamori03 [73]

Answer:

3/4

Step-by-step explanation:

It's three fourths, she ate one fourth.

5 0

3 years ago

Read 2 more answers

the combined area of two squares is 45 square cm. each side one square is twice as long as a side of the other Square. what is t

anygoal [31]

6 centimeters

x will represent the side length of the smaller square, so 2x is the side length of the bigger square.

x*x + 2x*2x = 45

x^2 + 4x^2 = 45

5x^2 = 45

x^2 = 9 (Divide by 5)

sqrt(x^2) = sqrt(9)

x = 3

2x = 6 (Multiply by 2)

Please consider marking this answer as Brainliest to help me advance.

4 0

3 years ago