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Inessa05 [86]
2 years ago
7

Find the volume of the given figure. Round to the nearest tenth. Enter only the number, the

Mathematics
1 answer:
creativ13 [48]2 years ago
4 0

Answer:

111.3 cubic inches

Step-by-step explanation:

The dimensions of the rectangular prism are 5.9 x 3.4 x 5.1

volume = length x width x height

V = 5.9 x 3.4 x 5.3

V = 102.306

The dimesnsions of the triangular prism are 3.4 x 5.9 x ?

to find the missing length, 6 - 5.1 = 0.9

3.4 x 5.9 x 0.9

Volume = (3.4 x 5.9 x 0.9)/2

V = 18.054/2

V = 9.027

Add the volumes together

102.306 + 9.027 = 111.333

Round

111.3

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Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?
vichka [17]

Answer:

The expression -1+14i represents  the number 2i^4-5i^3+3i^2+\sqrt{-81} rewritten in a+bi form.

Step-by-step explanation:

The value of i is i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4} in term of i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}

Substituting the value,

i^{4}=\left(-1\right)\times \left(-1\right)

Product of two negative numbers is always positive.

\therefore i^{4}=1

Now i^{3} in term of i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i

Substituting the value,

i^{3}=\left(-1\right)\times i

Product of one negative  and one positive numbers is always negative.

\therefore i^{3}=-i

Now \sqrt{-81} can be written as follows,

\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}

Applying radical multiplication rule,

\sqrt{ab}={\sqrt{a}}\sqrt{b}

\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}

Now, \sqrt{\left(81\right)=9 and \sqrt{-1}}=i

\therefore \sqrt{\left(81\right)\times\left(-1\right)}=9i

Now substituting the above values in given expression,

2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i

Simplifying,

2+5i-3+9i

Collecting similar terms,

2-3+5i+9i

Combining similar terms,

-1+14i

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

5 0
3 years ago
Match the task to the occupation.
bekas [8.4K]

According to the information, occupations and functions are organized as follows: music editor - blends music to components of a film, sound mixer - makes recording during program production, and recording engineer - maintains and operates recording equipment.

<h3>What is an occupation?</h3>

Occupation is a term that comes from the Latin <em>occupatio</em>, which is linked to the verb to occupy (to appropriate something, reside in a home, arouse someone's interest). The concept is used as a synonym for work or labor.

According to the above, the functions and occupations that best match are:

  • Music editor - blends music to components of a film
  • Sound mixer - makes recording during program production.
  • Recording engineer - maintains and operates recording equipment.

Learn more about occupations in: brainly.com/question/20199800

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3 0
2 years ago
two families are saving up for a summer trip the smith family originaly has 1000 dollars and will save 50 dollars every week the
SCORPION-xisa [38]
1000 + 50x = 500 + 75x

First move 500 by subtracting it from 1000.
500 + 50x = 75x

Now subtract 50x from 75x.
500 = 25x

Then divide 500 by 25.
20 = x

They would've saved the same amount($2,000) on the 20th week.




5 0
2 years ago
How many thousands are in 5000 ones
Mashutka [201]
There are 5. In 5000, there are 5 thousandths.
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5 0
3 years ago
Read 2 more answers
The following table shows the expressions that represent the sales of two companies:
nikdorinn [45]

Answer: Company B

Step-by-step explanation: I got it right on the test

7 0
2 years ago
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