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amid [387]
3 years ago
15

Suppose a railroad rail is 3 kilometers and it expands on a hot day by 18 centimeters in length. Approximately how many meters w

ould the center of the rail rise above the​ ground?
Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0

Answer:

  16.43 meters

Step-by-step explanation:

If the shape of the rise is a triangle, then the center of it is half the total length from the end. We can find the rise (y) using the Pythagorean theorem:

  1500.09² = 1500² +y² . . . . .dimensions in meters

  270.0081 = y²

  y = √270.0081 ≈ 16.43 . . . . meters

About the most it would rise is 16.43 meters.

___

If the shape is an arc of a circle, the height is about 14.2 meters.

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Margarita [4]
Take the equation: y = 520 + 14x and put each value from the table in for x and y.  

100 = 520 + 14 * -30
100 = 520 + -420
100 = 100   When we get an answer like this where the numbers on both sides of the equation match, we know that this (x,y) point is a part of the solution to the function.

So, you would work through each line in the table.  If they are all like the one above, the answer is Yes.  If not, it is no.
7 0
4 years ago
Water has a density of 1.0 g/cm3. What is the mass of 10.0 cm3 of water?
fgiga [73]
1.0g/cm3 means that the mass of one cm3 is 1.0g
The easiest method to use is the rule of three, and let x be the mass of 10.0 cm3 of water
1g -- > 1.0 cm3
x --> 10.0 cm3

x= (10*1)/1
x=10.0 g

So the mass of 10.0 cm3 of water is 10.0g

Hope this Helps! :)
8 0
4 years ago
Read 2 more answers
Suppose that you want to estimate average income in a population. If the standard deviation of income in the population is $1,00
Alik [6]

Answer:

2401

Step-by-step explanation:

Given that we want to estimate average income in a population.

The standard deviation of income in the population is $1,000

We want confidence interval around our estimate to be +/- $40

i.e Margin of error = 40

We know that margin of error = Std error * Z critical for 95%

i.e. 40 = 1.96 * std error

Std error = \frac{std dev}{\sqrt{n} } \\=\frac{1000}{\sqrt{n} }

Together we get

40=1.96(\frac{1000}{\sqrt{n} } )\\\sqrt{n} =\frac{1000*1.96}{40} \\=49\\n=2401\\

3 0
3 years ago
Hi, so I was wondering if anyone knows the surface area of a cylinder if the diameter is 7.5? Thank you so much! :)
disa [49]

Answer:

206.17

Key(s):

A = 2\pi \frac{d}{2} h + 2\pi \left(\frac{d}{2}\right)^2

Substitute <em>d</em> for the actual diameter, 7.5, and <em>h</em> for the height, which is 5.

Step-by-step explanation:

A = 2\cdot\pi \cdot\frac{7.5}{2} \cdot5 + 2\cdot\pi \cdot\left(\frac{7.5}{2}\right)^2 ≈ 206.17(2 DP)

6 0
2 years ago
Scott fills a container with sugar using a bowl. The bowl hold 1/4 cup of sugar. Scott uses 8 full bowls to fill the container.
liraira [26]

Answer:

Container holds 2 cups of Sugar.

Step-by-step explanation:

Given:

Amount of Sugar bowl contains = \frac{1}{4} \ cup

Number of bowls container is filled with = 8

We need find the number of cups of sugar container holds.

Solution:

Now number of cups of sugar container holds can be calculated by Multiplying Amount of Sugar bowl contains with Number of bowls container is filled with.

framing in equation form we get;

number of cups of sugar container holds = \frac{1}{4}\times8 = 2 \ cups

Hence Container holds 2 cups of Sugar.

7 0
4 years ago
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