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4 years ago

Can someone pls tell me the right answer pls and thank you

Mathematics

2 answers:

DanielleElmas [232]4 years ago

7 0

The checked are the answers

nadezda [96]4 years ago

6 0

wwe 2k17. hop on. it will help out a lot with stress and tension if you know what i mean

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What is 0.0825 as a precent and as a fraction?

dsp73

8.25% (decimal) and 33/400 (fraction)

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4 years ago

The surface area of a cylinder is increasing at a rate of 9 pi square meters per hour. The height of the cylinder is fixed at 3

Alekssandra [29.7K]

Answer:

$9\pi \text{ cubic meters per hour}$

Step-by-step explanation:

Since, the surface area of a cylinder,

$A= 2\pi r^2 + 2\pi rh$ ................(1)

Where,

r = radius,

h = height,

If $A= 36\pi\text{ square meters}, h = 3\text{ meters}$

$36\pi = 2\pi r^2 + 2\pi r(3)$

$18 = r^2 + 3r$

$\implies r^2 + 3r - 18=0$

$r^2 + 6r - 3r - 18 = 0$ ( by middle term splitting )

$r(r+6)-3(r+6)=0$

$(r-3)(r+6)=0$

By zero product property,

r = 3 or r = - 6 ( not possible )

Thus, radius, r = 3 meters,

Now, differentiating equation (1) with respect to t ( time ),

$\frac{dA}{dt}= 4\pi r\frac{dr}{dt} +2\pi(r\frac{dh}{dt} + h\frac{dr}{dt})$

∵ h = constant, ⇒ dh/dt = 0,

$\frac{dA}{dt} = 4\pi r \frac{dr}{dt} +2\pi h \frac{dr}{dt}$

We have, $\frac{dA}{dt}=9\pi\text{ square meters per hour}, r = h = 3\text{ meters}$

$9\pi = 4\pi (3) \frac{dr}{dt}+2\pi (3)\frac{dr}{dt}$

$9\pi = (12\pi + 6\pi )\frac{dr}{dt}$

$9\pi = 18\pi \frac{dr}{dt}$

$\implies \frac{dr}{dt} =\frac{1}{2}\text{ meter per hour}$

Now,

Volume of a cylinder,

$V=\pi r^2 h$

Differentiating w. r. t. t,

$\frac{dV}{dt}=\pi ( r^2 \frac{dh}{dt}+h(2r)\frac{dr}{dt})=\pi ((3)(6) (\frac{1}{2})) = 9\pi \text{ cubic meters per hour}$

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3 years ago

The measure of c is?

Cloud [144]

$answer \\ \sqrt{208} \\ solution \\ hypotenuse = c \\ perpendicular = 8 \\ base = 12 \\ using \: pythagoras \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {c}^{2} = {8}^{2} + {12}^{2} \\ or \: {c }^{2} = 64 + 144 \\ or \: {c}^{2} = 208 \\ c = \sqrt{208} \\ hope \: it \: helps$

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3 years ago

Read 2 more answers

An equilateral triangle is similar to a scalene triangle. True or False

san4es73 [151]

Answer:

False.

Step-by-step explanation:

All the sides of an equilateral triangle are equal.

None of the sides of a scalene triangle are equal to each other.

Therefore, an equilateral triangle is not similar to a scalene triangle.

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3 years ago

When constructing a confidence interval for a population mean, if a population is normally distributed and a small sample is tak

ddd [48]

Answer:

<h3>"When constructing a confidence interval for a population mean, if a population is normally distributed and a small sample is taken, then the distribution of is based on the "t" distribution</h3>

Step-by-step explanation:

Given that "When constructing a confidence interval for a population mean, if a population is normally distributed and a small sample is taken, then the distribution of is based on the "t"distribution."

Because the given sample size is smaller so we have to use the "t" distribution for constructing the confidence interval for a given population

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3 years ago