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3 years ago

Convert the given measurement of water to the unit indicated 4.2kg to cm cubed

Mathematics

1 answer:

Cloud [144]3 years ago

3 0

This is a dimensional analysis problem. Because it’s water, you can use 1g = 1cm^3, so just convert Kg to g

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Vedmedyk [2.9K]

By pythagoreans' theorem,

Longer edge
= √(2² + 6²)
= √40

∴ The length of the longer edge is the square root of 40 feet.

Shorter edge
= √(1² + 3²)
= √10

Area = L × B
= √40 × √10
= 20 feet²

8 0

3 years ago

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First 100 terms of the following sequence 3 ,7 ,11

Sveta_85 [38]

Given that $a_1 = 3, d = 4$

Find the nth term:

$a_n = 3 + 4(n - 1)$

$a_n = 3 + 4n - 4$

$a_n = 4n - 1$

Find the 100th term:

$a_{100} = 4(100) - 1 = 399$

Find the Sum:

$\text{Sum} = 100(\dfrac{a_1 + a_{100}}{2} )= 100 (\dfrac{3 + 399}{2}) = 20100$

7 0

4 years ago

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( simultaneous equations)

daser333 [38]

Answer:

See method below.

Step-by-step explanation:

m/n + n/3 = 2

2/m + n = 4

First eliminate the fractions by multiplying the first equation by 3n:-

3m + n^2 = 6n...........(1)

and the second equation by m:-

2 + mn = 4m..............(2)

Now we solve using substitution:-

From equation (2):-

4m - mn = 2

m = 2 / (4 - n)

Now substitute for m in equation (1):-

6/ (4 - n) + n^2 = 6n

6 + n^2(4 - n) = 6n(4 - n)

6 + 4n^2 - n^3 = 24n - 6n^2

n^3 - 10n^2 + 24n - 6 = 0

This will not factor so we could solve this using graphical software.

To find the values of the variable m we substitute the found values of n into one of the original equations and solve for m.

6 0

4 years ago

Please help! thanks!

harina [27]

Answer:

Step-by-step explanation:

Remember how absolute values turn everything inside of it into a positive number? Like |-4|=4 and |4|=4 as well.

Well, it works the same for equations.

When you have an absolute value equation like this, you have to split it into two parts.

The positive version

| d-3.5 | ≤ 1.5

and the negative version

|-(d-3.5)| ≤ 1.5

solve for the value of d in both equation.

Remember that you have to flip the inequality sign when dividing or multiplying by a negative number

I assume you know how to graph the inequality once you get the value for d.

d≤5 and d≥2

2 ≤ d ≤ 5

meaning d is between 2 and 5.

7 0

3 years ago

A drawer of loose socks contains 2 red socks, 2 green socks, and 6 white socks. Which best describes how to determine the probab

kenny6666 [7]

Well, before you draw out the first sock, you had 60% chance of getting a white sock since six of the ten socks are white! (6/10)

So, if you were to not replace the first drawn white sock, your percentage goes to 55.5556%! This is because you now have 5/9 socks remaining in the drawer being white!

7 0

3 years ago

Read 2 more answers