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2 years ago

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.
~Silver

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