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2 years ago

Taylor needs to put 8 hats in each box.

Mathematics

1 answer:

Stella [2.4K]2 years ago

5 0

Hi,

64 ÷ 8 = x

X= the number of boxes

Hope I could help~ have a good day/night :]

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Use a parametrization to express the area of the surface as a double integral. Then evaluate the integral. The portion of the cy

mina [271]

Answer:

The answer is " $8\pi$ "

Step-by-step explanation:

$\to r(v,u) =(4 \cos v, 4 \sin v,u) \\\\0\leq v \leq 2\pi, \ \ 4\leq u\leq 5\\\\\to r_v= (-4 \sin v, 4 \cos v, 0)\\\\\to r_u=(0,0,1)$

$\to r_v\times r_u = \left|\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\-4 \sin v& 4 \cos v& 0\\0&0&1\end{array}\right| \\\\$

$= (4 \cos v, -4 \sin v, 0)$

$|r_v \times r_u| = \sqrt{16 \cos^2 v +16 \sin^2 v}\\\\$

$= \sqrt{16( \cos^2 v + \sin^2 v)}\\\\= \sqrt{16(1)}\\\\= \sqrt{4^2}\\\\=4$

Calculating the surface area:

$=\int^{2\pi}_{0} \int^{5}_{4} 4 \ du \ dv \\\\=\int^{2\pi}_{0} 4[4]^{5}_{4} \ dv \\\\=\int^{2\pi}_{0} 4[5-4] \ dv \\\\=\int^{2\pi}_{0} 4 \ dv \\\\=4 [v]^{2\pi}_{0}\\\\= 4 \times 2\pi\\\\= 8\pi$

3 0

3 years ago

Which pair of slopes could represent parallel lines?

ddd [48]

M = -3, m = -9/3

because when you divide -9/3, you get -3, so the slopes would be the same.
If the slopes are the same (and their intercepts are different) then that pair of slopes represents parallel lines!

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3 years ago

Restaurants frequently add an 18% tip on the pre-tax bill when the party is 8 people or more. The tax is calculated based on t

Misha Larkins [42]

There is not enough information. Do you need an equation?

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3 years ago

What is 240 miles in 6 hours as a unit rate

lutik1710 [3]

Answer:

240 divide by 6 is 40. the mph is 40

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3 years ago

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What is the best approximation for the circumference of a circle with a radius of 125 m?

miskamm [114]

Forumla for circumference is
pi x diameter
or
pi x 2 x radius
so we are going to use the second formula to estimate the answer without a calculator.
3 x 2 x 125
3 x 2 =6
6 x 125 = 750.
the closest answer is 785m. That is the answer.

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4 years ago

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