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2 years ago

6

Can you help me solve this please

1 answer:

OLga [1]2 years ago

8 0

Answer:

-22+27i

Step-by-step explanation:

$i = \sqrt{ - 1} \\ (3 - 4i)( - 6 + i) \\ = (3 - 4 \sqrt{ - 1} )( - 6 + \sqrt{ - 1} ) \\ = 3( - 6 + \sqrt{ - 1)} - 4 \sqrt{ - 1} ( - 6 + \sqrt{ - 1} ) \\ = - 18 + 3 \sqrt{ - 1} + 24 \sqrt{ - 1} - 4 \\ = - 22 + 27 \sqrt{ - 1} \\ putting \: \: \: \sqrt{ - 1 } = i \\ = - 22 + 27i$

Hope it helps.

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Find the cost of painting a cubical block of side length 3.2 cm, if painting costs $5 per cm2.

SashulF [63]

<h3><u>Answer</u>:- </h3>

$\longrightarrow \sf \$ \: 307.2$

<h3><u>Solution:-</u></h3>

Since painting is done on outer surface of cubical block we will have to find its surface area which is given by-

$\green{ \underline { \boxed{ \sf{Surface \: area \:of \:Cube = 6a^2}}}}$

<u>where a is side of the cube </u>

$\begin{gathered}\\\quad \sf Surface \: area \:of \:Cube = 6\times(3.2)^2 \\\end{gathered}$

$\begin{gathered}\\\implies \quad \sf 6\times 3.2\times3.2 \\\end{gathered}$

$\begin{gathered}\\\implies \quad \sf 61.44 cm^2 \\\end{gathered}$

Now,

$\maltese \sf Cost \:of \:painting \: 1 \: cm² = \$ 5$

$\sf Cost \: of \: painting \: 61.44 \:cm²=61.44×5$

$\sf\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad=\$ 307.2$

$\leadsto$ Thus it would cost $ 307.2 to paint the entire cubical block.

3 0

2 years ago

State if each triangle is a right triangle:<br><br>13 ft<br>5 ft<br>10 ft<br>

Kaylis [27]

Answer:

Step-by-step explanation:

the longest length is always the hypotenuse

Use Pythagorean theorem

a^2+b^2=c^2

5^2+10^2=c^2

c=11.18

Note: if c=13 than it is a right triangle

since 11.18 not=13

not right triangle

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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Please include step by step

mote1985 [20]

Answer:

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Step-by-step explanation:

sin[30]=p/h

(1/2)=x/4

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3 years ago

Which expression is equivalent to 3 ( x + 10)

devlian [24]

Answer:

3x + 30

Step-by-step explanation:

$3(x+10)\\\\\text{Distribute '3' into 'x + 10'}\\\\\\3(x+10)\rightarrow3x+30\\\\\left \{ {{3*x=3x} \atop {3*10=30}} \right.$

3x + 30 would be an equivalent expression.

Hope this helps.

8 0

2 years ago