3 years ago

84-63i in conjugate form?.

1 answer:

5 0

Conjugate form of complex number:
z = a + b i is a - b i
and for : z = a - b i is : a + b i
Conjugate form of 84 - 63 i is : 84 + 63 i

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Find the missing lengths:<br> LO=5 and OK=4, find OH and KH.

hodyreva [135]

Answer:

The length of KH is 6 units and OH is 6.3 units.

Step-by-step explanation:

Given the figure with lengths LO=5 and OK=4. we have to find the length of OH and KH.

In ΔLOH

By Pythagoras theorem

$LH^2=LO^2+OH^2\\\\LH^2=5^2+OH^2$ → (1)

In ΔKOH,

$KH^2=OH^2+OK^2\\\\KH^2=OH^2+4^2$ → (2)

In ΔKHL,

$KL^2=LH^2+KH^2$

Using eq (1) and (2), we get

$KL^2=5^2+OH^2+OH^2+4^2$

$9^2=25+2OH^2+16$

⇒ $2OH^2=81-25-16=40$

⇒ $OH=\sqrt{20}=6.324\sim6.3units.$

Put the above value in eq 2, we get

$KH^2=20+4^2=36$

⇒ KH=6 units.

8 0

3 years ago

Read 2 more answers

A book contains pages from 1-48. A student picks a page at random. What is the probability that the page contains a 3

Nutka1998 [239]

1/48

Since there is only 1 page labeled “3,” the probability of picking page 3 is 1/48.

6 0

3 years ago

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1/2-3(1/2 +1 )^2

MAVERICK [17]

$\bf \cfrac{1}{2}-3\left( \cfrac{1}{2}+1 \right)^2\implies \stackrel{\mathbb{PEMDAS}}{\cfrac{1}{2}-3\left( \cfrac{1+2}{2} \right)^2}\implies \cfrac{1}{2}-3\left( \cfrac{3}{2} \right)^2 \\\\\\ \cfrac{1}{2}-3\left( \cfrac{3^2}{2^2} \right)\implies \cfrac{1}{2}-3\cdot \cfrac{9}{4}\implies \cfrac{1}{2}-\cfrac{27}{4}\implies \stackrel{\textit{LCD of 4}}{\cfrac{2-27}{4}} \\\\\\ -\cfrac{25}{4}\implies -6\frac{1}{4}$