3 years ago

If Tan x = 3/4, and 0

Mathematics

1 answer:

cluponka [151]3 years ago

5 0

Answer:

I don’t know

Step-by-step explanation:

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Find the area of the triangle defined by the given system?

just olya [345]

Look at my pfp it tells you the answer

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2 years ago

Evaluate the surface integral. s x ds, s is the triangular region with vertices (1, 0, 0), (0, −2, 0), and (0, 0, 12).

aniked [119]

Parameterize the surface by

$\mathbf r(s,t)=(1-s)(0,0,12)+s\bigg((1-t)(1,0,0)+t(0,-2,0)\bigg)$
$\implies\mathbf r(s,t)=(x(s,t),y(s,t),z(s,t))=(s-st,-2st,12-12s)$

where $(s,t)\in(0,1)\times(0,1)$ . We have

$\|\mathbf r_s\times\mathbf r_t\|=\|(1-t,-2t,-12)\times(-s,-2s,0)\|=2\sqrt{181}s$

The surface integral is then

$\displaystyle\iint_Sx\,\mathrm dS=2\sqrt{181}\int_{s=0}^{s=1}\int_{t=0}^{t=1}s(s-st)\,\mathrm dt\,\mathrm ds$
$=\displaystyle2\sqrt{181}\left(\int_{s=0}^{s=1}s^2\,\mathrm ds\right)\left(\int_{t=0}^{t=1}(1-t)\,\mathrm dt\right)$
$=\dfrac{\sqrt{181}}3$

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3 years ago

The length of a rectangular garden is 9 feet longer than its width. If the garden's perimeter is 194 feet, what is the area of t

Natasha_Volkova [10]

194 feet

Answer: 195 feet

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3 years ago

Read 2 more answers

What is the slope of the line through the points (1,5) and (-2,-4)?

olasank [31]

Answer:

slope = 3

Step-by-step explanation:

Use the coordinates of the points to determine the slope.

3 0

2 years ago

A football stadium contain 80% of its full capacity of spectators for a grand final match. At the end of the game, spectators le

nekit [7.7K]

Answer:

A. 30000

B. 12000

Step-by-step explanation:

Find out how much spectators leave in 1 minute.

1 second = 5

1 minute = 5 x 60 = 300 (60 seconds)

20 minutes = 300 x 20 = 6000

Since there were only 80% of the full capacity of spectators and after minutes it became 60%...

80% - 60% = 20%

20% = 6000

1% = 6000 ÷ 20 = 300

100% = 300 x 100 = 30000

1 minute = 300 spectators leaving

1 hour = 300 x 60 = 18000 (60 minutes)

30000 - 18000 = 12000

8 0

3 years ago