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3 years ago

15

Round 80531 to the nearest thousand.

2 answers:

Iteru [2.4K]3 years ago

6 0

That would be 8,1000

Radda [10]3 years ago

5 0

It is 8,0531.I think this answer is correct, if not I am soorry

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Find the distance between the points (-9,0) and (2,5)

andreev551 [17]

Answer:

sqrt(146)

Step-by-step explanation:

The distance between these two points can be the hypotenuse of our right triangle.

We can create a right triangle with two legs of length 11 and 5. To solve for the hypotenuse, we apply the pythagorean theorem

sqrt(5^2+11^2)=sqrt(146)

I attached a graph to help you visualize the triangle and how it works.

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A population of 100,000 decreases by 6% each year. write a graph to explain that

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Answer:

Step-by-step explanation:

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3 years ago

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Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra

bearhunter [10]

Answer:

$\frac{dh}{dt}=-\frac{1}{2\pi}cm/min$

Step-by-step explanation:

From similar triangles, see diagram in attachment

$\frac{r}{4}=\frac{h}{16}$

We solve for $r$ to obtain,

$r=\frac{h}{4}$

The formula for calculating the volume of a cone is

$V=\frac{1}{3}\pi r^2h$

We substitute the value of $r=\frac{h}{4}$ to obtain,

$V=\frac{1}{3}\pi (\frac{h}{4})^2h$

This implies that,

$V=\frac{1}{48}\pi h^3$

We now differentiate both sides with respect to $t$ to get,

$\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}$

We were given that water is drained out of the tank at a rate of $2cm^3/min$

This implies that $\frac{dV}{dt}=-2cm^3/min$ .

Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means $h=8cm$ .

We substitute this values to obtain,

$-2=\frac{\pi}{16}(8)^2 \frac{dh}{dt}$

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$\Rightarrow -1=2\pi \frac{dh}{dt}$

$\frac{dh}{dt}=-\frac{1}{2\pi}$

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3 years ago

Read 2 more answers

How to convert 625/1000 to its simplest form

nekit [7.7K]

the greatest common factor is 125. divide that by the numerator and denominator and then the answer will be 5/8. hope this helps

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3 years ago