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Anarel [89]
3 years ago
9

What is the completely simplified equivalent of 2 over 5+i? the 'i' is 1! thx for the help!

Mathematics
1 answer:
MrRissso [65]3 years ago
4 0

Answer:

1/3 ≅ .33333

Step-by-step explanation:

If 'i' is 1, then 5+i is 6. 2 over 6 is 1 over 3. (2/6 = 1/3) 1 over 3 is also .3333... forever repeating.

Hope this helps!

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The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol
Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is \frac{7}{10}

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is \frac{343}{1,000}

Part c) The volume of the smaller pyramid is 4,116\ m^{3}

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

so

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid  

z=\frac{x}{y}

substitute the values

z=\frac{21}{30}

Simplify

z=\frac{7}{10} -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid  

z^{3}=\frac{x}{y}

we have

z=\frac{7}{10}

substitute

\frac{7}{10}^{3}=\frac{x}{y}

Rewrite

\frac{x}{y}=\frac{343}{1,000} -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid  

z^{3}=\frac{x}{y}

we have

z=\frac{7}{10}

y=12,000\ m^{3}

substitute the values and solve for x

(\frac{7}{10})^{3}=\frac{x}{12,000}

x=\frac{343}{1,000}(12,000)=4,116\ m^{3}

8 0
3 years ago
Simplify expression -3√2+ 3√8
Arturiano [62]

Answer:

3√2

Step-by-step explanation:

−3√2+3√8

=3√2 (Decimal: 4.242641)

4 0
2 years ago
Read 2 more answers
Which of the following repeating decimals is equivalent to -5 1/9?
AnnyKZ [126]
That would be choice D.
4 0
3 years ago
Read 2 more answers
Solve the system of equations using the linear combination method.
almond37 [142]

Answer: Please rewrite your question or send a pic.  It is not clear what you are asking.

Step-by-step explanation:

5 0
3 years ago
Renata and her family go through an average of more than 15 cans of sparkling water each day. They buy cases of 24 cans at $3.50
DENIUS [597]

Answer:

The inequality required to express the above condition is   x     ≥    18.75

Step-by-step explanation:

Renata and her family go through an average of more than 15 cans of sparkling water each day.

The number of cases of 24 cans of sparkling water.

We can take the number of cases to be x.

Each case is said to cost $3.50.

An inequality for the number of cases that Renata's family go through in 24 days can be written as

       x ≥ \frac{15 \times 30}{24}           ⇒     x    ≥   \frac{450}{24}         ⇒   x ≥     18.75

Therefore the inequality required to express the above condition is

x     ≥    18.75

3 0
3 years ago
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