Ask question

Ask question

All categories

3 years ago

10

All the pizzas at Tony's Pizzeria cost the same per square centimetre

1 answer:

8_murik_8 [283]3 years ago

3 0

Click the link above

You might be interested in

can i use a cash counter as a cashier. As in a website on my phone that tells me the exact change to give out to a person

notka56 [123]

Seems pretty accurate so sure. it’s really hard to count up a lot of change so that’s helpful however if it’s not permitted then Sox

5 0

3 years ago

Dahlia is simplifying (3 t) Superscript 4 using these steps: (3 t) Superscript 4 = 3 t times 3 t times 3 t times 3 t = 3 times 3

mojhsa [17]

Answer:

it is b

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 181.5 square cen

3241004551 [841]

Answer:

The base and height of the solid is 5.5cm

<em></em>

Step-by-step explanation:

Given

$Surface\ Area = 181.5cm^2$

Required

Determine the dimensions that maximizes the volume

Let the base dimension be x and the height be h

The volume is calculated as:

$Volume =x^2 * h$

$Volume =x^2h$

181.5 =x^2h

The surface area (S) is calculated as this:

$S = 2(x^2 + xh + xh)$

$S = 2(x^2 + 2xh)$

$S = 2x^2 + 4xh$

Substitute 181.5 for S

$181.5 = 2x^2 + 4xh$

Make h the subject:

$4xh = 181.5 - 2x^2$

$h = \frac{181.5 - 2x^2}{4x}$

Substitute $h = \frac{181.5 - 2x^2}{4x}$ in $Volume =x^2h$

$V = x^2(\frac{181.5 - 2x^2}{4x})$

$V = x(\frac{181.5 - 2x^2}{4})$

$V = \frac{1}{4}(x)(181.5 - 2x^2)$

$V = \frac{181.5x}{4} - \frac{2x^3}{4}$

$V = \frac{181.5x}{4} - \frac{x^3}{2}$

To get the maximum, we differentiate V with respect to t and set the differentiation to 0

$dV = \frac{181.5}{4} - \frac{3x^2}{2}$

Set to 0

$0 = \frac{181.5}{4} - \frac{3x^2}{2}$

$\frac{3x^2}{2} = \frac{181.5}{4}$

Multiply through by 4

$4 * \frac{3x^2}{2} = \frac{181.5}{4} * 4$

$2*3x^2 = 181.5$

$6x^2 = 181.5$

$x^2 = \frac{181.5}{6}$

$x^2 = 30.25$

$x = \sqrt{30.25$

$x = 5.5$

Recall that:

$h = \frac{181.5 - 2x^2}{4x}$

$h = \frac{181.5 - 2 * 5.5^2}{4 * 5.5}$

$h = \frac{181.5 - 60.5}{22}$

$h = \frac{121}{22}$

$h = 5.5$

So, we have:

$h = 5.5$

$x = 5.5$

<em>Hence, the base and height of the solid is 5.5cm</em>

7 0

4 years ago

Find expressions for the possible dimensions of the rectangular prism.<br> V = 7y3 +29y2 + 4y

jok3333 [9.3K]

Answer:

m=83

Step-by-step explanation:

6 0

3 years ago

I Need Help with my homework. It’s due tomorrow and i don’t know anything about algebra

UkoKoshka [18]

For the first question, all you have to do is substitute the values. for example g(x)=-5x+2 becomes g(-1)=-5(-1)+2

8 0

3 years ago

Read 2 more answers