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3 years ago

A square pizza box has a width of 24”. What it the area of the largest circular pizza that could fit in the box?

Mathematics

2 answers:

Novay_Z [31]3 years ago

8 0

Answer:

452.16 inches squared

Step-by-step explanation:

Tanzania [10]3 years ago

5 0

Answer:

452.39 in.^2

Step-by-step explanation:

since the width of the box is 24, the diameter of the circles is also 24.

using 12 as the radius, we plug it into the equation pi(12)^2 and we get 452.39 in^2

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Calculate the integral s f · ds, where s is the entire surface of the solid half ball x2 + y2 + z2 ≤ 1, z ≥ 0, and f = (x + 3y5)

SSSSS [86.1K]

The divergence theorem applies since $\mathcal S$ is a closed surface. We have

$\displaystyle\iint_{\mathcal S}\mathbf f(x,y,z)\cdot\mathrm d\mathbf S=\iiint_{\mathcal V}\nabla\times\mathbf f(x,y,z)\,\mathrm dV$

where $\mathcal V$ is the space enclosed by the surface $\mathcal S$ . The divergence of the given vector field is

$\nabla\times\mathbf f(x,y,z)=\dfrac{\partial(x+3y^5)}{\partial x}+\dfrac{\partial(y+10xz)}{\partial y}+\dfrac{\partial(z-xy)}{\partial z}=1+1+1=3$

So we can write the volume integral (in spherical coordinates) as

$\displaystyle3\iiint_{\mathcal V}\,\mathrm dV=3\int_{\varphi=0}^{\varphi=\pi/2}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=1}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=\frac{4\pi}3$

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3 years ago

1/8 divided by 3/4 in simplest form

Eddi Din [679]

(1/8) / (3/4) =
1/8 * 4/3 =
4/24 reduces to 1/6 <===

5 0

3 years ago

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How many times are equal to 40000 pounds

Usimov [2.4K]

1 pound × 40,000 = 40,000 pounds.

Please mark as brainliest. I really need it.

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3 years ago

Calculate the a) future value of the annuity due, and b) total interest earned. (From Example 2)

vredina [299]

Answer:

value: $66,184.15
interest: $6,184.15

Step-by-step explanation:

The future value can be computed using the formula for an annuity due. It can also be found using any of a variety of calculators, apps, or spreadsheets.

<h3>formula</h3>

The formula for the value of an annuity due with payment P, interest rate r, compounded n times per year for t years is ...

FV = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)

FV = 5000(1 +0.06/4)((1 +0.06/4)^(4·3) -1)/(0.06/4) ≈ 66,184.148

FV ≈ 66,184.15

<h3>calculator</h3>

The attached calculator screenshot shows the same result. The calculator needs to have the begin/end flag set to "begin" for the annuity due calculation.

The future value of the annuity due is $66,184.15.

The total interest earned is the difference between the total of deposits and the future value:

$66,184.15 -(12)(5000) = 6,184.15

A total of $6,184.15 in interest was earned by the annuity.

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2 years ago

Rewrite 15^1/3 in radical form.

ziro4ka [17]

Answer:46

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers