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3 years ago

Please help, I’ll give brainliest to first answer.

Mathematics

1 answer:

Sphinxa [80]3 years ago

4 0

x=60° because if 150°<u>=90°+</u>60° so a line is 180° consequently

90°+30°+x=180°

120°+x°= 180°

x°= 180°-120°= 60°

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Water is leaking out of an inverted conical tank at a rate of 12,000 cm3/min at the same time that water is being pumped into th

Bas_tet [7]

Answer:

$291111.1cm^3/min$

Step-by-step explanation:

We are given that

$\frac{dV}{dt}_{out}=12000 cm^3/min$

Height of tank,h=6 m

Diameter of top,d=4 m

Radius,r= $\frac{d}{2}=\frac{4}{2}=2 m$

$\frac{dh}{dt}=20 cm/min$

$\frac{r}{h}=\frac{2}{6}=\frac{1}{3}$

$r=\frac{1}{3} h$

We have to find rate at which water is being pumped into the tank.

Volume of conical ,V= $\frac{1}{3}\pi r^2 h$

$V=\frac{1}{3}\pi(\frac{1}{3} h)^2h=\frac{1}{27}\pi h^3$

$\frac{dV}{dt}=\frac{1}{9}\pi h^2(\frac{dh}{dt})$

h=2 m=200 cm

1m=100 cm

$\frac{dV}{dt}_{in}-12000=\frac{1}{9}\pi(200)^2\times 20$

$\frac{dV}{dt}_{in}=12000+\frac{1}{9}\pi (40000)\times 20$

$\frac{dV}{dt}_{in}=291111.1cm^3/min$

4 0

3 years ago

{0,1,2,3,4,5,6,20,21,22,23,24,25} the distribution is considered to be: skewed the right, skewed the left, not skewed?

Katyanochek1 [597]

Answer:

Not skewed

Step-by-step explanation:

Since, the given distribution that is {0,1,2,3,4,5,6,20,21,22,23,24,25} has a mean = $\frac{0+1+2+3+4+5+6+20+21+22+23+24+25}{13}=\frac{156}{13}=12$ .

And the mode is the term which occurs frequently in the distribution, Since, in the given distribution, there is no term which is occurring frequently, therefore there is no mode for the given distribution, thus we cannot determine the skewness of the given distribution,

Hence the given distribution is not skewed.

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3 years ago

Name the kind or kinds of symmetry the following figure has: point, line, plane, or none. (Select

mylen [45]

Answer:

Line

Step-by-step explanation:

If you draw a line through the middle, there will be line symmetry.

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3 years ago

Read 2 more answers

The sum of the first 15 terms of a geometric sequence with 7 as the first term and a common ratio of -3 is __________.

Andre45 [30]

Step-by-step explanation:

the formula for the sum of the first n terms of a geometric sequence is

Sn = s1(1 - r^n)/(1 - r)

with r being the common ratio and s1 is the first term.

so,

S15 = 7×(1 - (-3)¹⁵)/(1 - -3) = 7×(1 - -14,348,907)/4 =

= 7×14,348,908/4 = 7×3,587,227 = 25,110,589

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2 years ago

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the answer is > 31,692 in

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