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4 years ago

5

What's the word name for 20,004? A. Two thousand four B. Twenty thousand four C. Twenty thousand forty D. Two hundred thousand f

our

1 answer:

mina [271]4 years ago

6 0

Yes it's definitely B

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Find the area cut out of the cylinder x2 z2=9 by the cylinder x2 y2=9.

Digiron [165]

The cylinder is symmetric across the plane $y=0$ , so we need only consider half of the cut-out region.

This region can be parameterized by

$\mathbf r(r,\theta)=(r\cos\theta,\sqrt{9-r^2\cos^2t},r\sin\theta)$

with $0\le\theta\le2\pi$ and $0\le r\le3$ . Then the area of this half is given by the surface integral

$\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=3}\left\|\mathbf r_r\times\mathbf r_\theta\right\|\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\int_0^{2\pi}\int_0^3\frac{3r}{\sqrt{9-r^2\cos^2\theta}}\,\mathrm dr\,\mathrm d\theta$
$=36$

Doubling this gives a total area of 72.

6 0

3 years ago

Diana is buying plates and cups for a party. She wants the same number of each. Plates are sold in packs of eight and cups are s

Citrus2011 [14]

Answer:

What is the least number of plates and cups she can buy?

The least number of cups of plates and cups she can buy is 24

How many packs of plates?

3 packs of plates

How many packs of cups?

2 packs of cups

Step-by-step explanation:

What is the least number of plates and cups she can buy?

We solve this using the Lowest Common Multiple method

The L.C.M of 8 and 12

Multiples of 8: 8, 16, 24, 32, 40

Multiples of 12: 12, 24, 36, 48

Therefore,

LCM(8, 12) = 24

Hence, the least number of cups and plates she can buy is 24

How many packs of plates?

Plates are sold in packs of eight

Hence: 24 ÷ 8 = 3 packs of plates

How many packs of cups?

Cups are sold in packs of 12

Hence: 24 ÷ 12 = 2 packs of cups

3 0

3 years ago

Which table represents the graph below?

Juli2301 [7.4K]

The first graph! if you take the coordinates of each point and write them in a table( the left side being x and right y) it will match the first graph

4 0

3 years ago

Read 2 more answers

Write the equation of the line in fully simplified slope-intercept form.

Alona [7]

Y=3/1x+-1 hope this is correct

5 0

3 years ago

You need to find the area of the shaded region

hammer [34]

Answer:

8.695=area of shaded region

Step-by-step explanation:

pi x 16=50.265

this is the whole circle

the radius is also the side of the hexagon

the picture is formula for area of hexagon

if you replace a by the side which is 4

the answer is 41.57

50.265-41.57=8.695

3 0

3 years ago