Find the are of the following rectangle. (Help)

Mathematics

1 answer:

nignag [31]3 years ago

6 0

The correct answer is 108 ft squared

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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

Find the volume of the wedge-shaped region contained in the cylinder x2 + y2 = 49, bounded above by the plane z = x and below by

fiasKO [112]

$\displaystyle\iiint_R\mathrm dV=\int_{y=-7}^{y=7}\int_{x=-\sqrt{49-y^2}}^{x=0}\int_{z=x}^{z=0}\mathrm dz\,\mathrm dx\,\mathrm dy$

Converting to cylindrical coordinates, the integral is equivalent to

$\displaystyle\iiint_R\mathrm dV=\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}\int_{z=r\cos\theta}^{z=0}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}-r^2\cos\theta\,\mathrm dr\,\mathrm d\theta$
$=-\displaystyle\left(\int_{\theta=\pi/2}^{3\pi/2}\cos\theta\,\mathrm d\theta\right)\left(\int_{r=0}^{r=7}r^2\,\mathrm dr\right)$
$=\dfrac{2\times7^3}3=\dfrac{686}3$

4 0

3 years ago

ILL GIVE BRAINLIEST TO QUICKEST AND BEST ANSWER!

Lana71 [14]

Answer:

A. $x^{3} + 3x^{2} +5x+3$