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4 years ago

115.9 rounded to the thousandths place as an decimal

Mathematics

1 answer:

kotegsom [21]4 years ago

4 0

Answer:

115.900

Step-by-step explanation:

Since 115.9 is rounded to a tenth, it is already rounded to the nearest thousandth. Rounded to the nearest thousandth, it becomes 115.900.

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On a map 1 inch = 50 miles. If two cities are 3 1/2 inches apart, how many miles are they apart?

Ganezh [65]

I think 175 miles.
Since 1 = 50 miles and the cities are 3 1/2 miles apart, all you need to do is multiply 50 x 3 which is 150. Then you need to solve the 1/2, which 1/2 of 50 is 25. 150+25 is 175. So the answer is 175 miles.

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3 years ago

A trough is 14 ft long and its ends have the shape of isosceles triangles that are 5 ft across at the top and have a height of 1

jeka57 [31]

Step-by-step explanation:

Using similar triangles, the height and width of the water is proportional to the height and width of the trough.

w / h = 5 / 1

w = 5h

The volume of the water is:

V = AL

V = (½ wh) (14)

V = 7wh

Substituting:

V = 7(5h)h

V = 35h²

Take derivative with respect to time:

dV/dt = 70h dh/dt

Given that dV/dt = 15 and h = ⅓:

15 = 70 (⅓) dh/dt

dh/dt = 9/14

dh/dt ≈ 0.643 ft/min

8 0

4 years ago

ANSWER PLS PLS PLS<br><br> Solve the proportion!<br><br> <img src="https://tex.z-dn.net/?f=-%5Cfrac%7B6%7D%7B7%7D%3D%5Cfrac%7Bn%

aliya0001 [1]

To solve this, you need to isolate/get the variable "n" by itself in the equation:

$-\frac{6}{7} =\frac{n}{21}$ Multiply 21 on both sides to get "n" by itself

$(21)(-\frac{6}{7} )=(21)\frac{n}{21}$

$-\frac{126}{7} =n$ Simplify the fraction

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8 0

4 years ago

2+2 just in case you need points

seropon [69]

Answer:

4. Thank you!

Step-by-step explanation:

3 0

3 years ago

The surface area of a melting snowball decreases at a rate of3.8cm2/min. Find the rate at which its diameter decreases when the

Scorpion4ik [409]

Answer:

Step-by-step explanation:

This is a pretty basic related rates problem. I'm going to go through this just like I do in class when I'm teaching it to my students.

We see we have a snowball, which is a sphere. We are talking about the surface area of this sphere which has a formula of

$S=4\pi r^2$

In the problem we are given diameter, not radius. What we know about the relationship between a radius and a diameter is that

d = 2r so

$\frac{d}{2}=r$ Now we can have the equation in terms of diameter instead of radius. Rewriting:

$S=4\pi(\frac{d}{2})^2$ which simplifies to

$S=4\pi(\frac{d^2}{4})$ and a bit more to

$S=\pi d^2$ (the 4's cancel out by division). Now that is a simple equation for which we have to find the derivative with respect to time.

$\frac{dS}{dt}=\pi*2d\frac{dD}{dt}$ Now let's look at the problem and see what we are given as far as information.

The rate at which the surface area changes is -3.8, and we are looking for $\frac{dD}{dt}$ , the rate at which the diameter is changing, when the diameter is 13. Filling in:

$-3.8=\pi(2)(13)\frac{dD}{dt}$ and solving for the rate at which the diameter is changing:

$-\frac{3.8}{26\pi}=\frac{dD}{dt}$ and divide to get

$\frac{dD}{dt}=-.459\frac{cm}{min}$ Obviously, the negative means that the diameter is decreasing.

7 0

3 years ago