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3 years ago

5. Wnte a rational number between 6 and 7.

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

4 0

Answer:

6.2

Step-by-step explanation:

decimals are rational numbers so you could do 6.2

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Convert the complex number z = 4 - 10i from rectangular form to polar form.

mrs_skeptik [129]

ANSWER

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

EXPLANATION

The polar form of a complex number ,

$z = x + yi$

is given by:

$z = r( \cos( \theta) + i \sin( \theta) )$

where

$r = \sqrt{ {x}^{2} + {y}^{2} }$

The given complex number is:

$z = 4 - 10i$

$r = \sqrt{ {4}^{2} + {( - 10)}^{2} }$

$r = \sqrt{16 + 100}$

$r = \sqrt{116} = 2 \sqrt{29}$

And

$\theta= \tan^{ - 1}(\frac{ y}{x} )$

$\theta= \tan^{ - 1}(\frac{ - 10}{4} )$

$\theta= 292 \degree$

Hence the polar form is :

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

6 0

3 years ago

Kath starts with a number. she adds 3 to her number then double the result. finally, she subtracts 7. if she ended with 9, what

Dimas [21]

The answer is 5. Work backwards: first add 7 to 9, then divide by 2, then subtract 3.

9+7=16
16/2=8
8-3=5

Cross Check:
5+3=8
8*2=16
16-7=9

Final Answer: 5

4 0

4 years ago

What is the value of p in the linear equation 24p + 12 – 18p = 10 + 2p – 6?

stira [4]

we have

$24p+12-18p=10+2p-6$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$24p-18p-2p=10-6-12$

Combine like terms

$4p=-8$

Divide by $4$ both sides

$4p/4=-8/4$

$p=-2$

therefore

<u>the answer is</u>

the value of p in the linear equation is $-2$

6 0

4 years ago

Read 2 more answers

Alex has 4 less than twice the number baseball cards as leo. ginny has 12 more than three times the number of baseball cards Leo

marin [14]

Alex has 128 baseball cards, Leo has 66 cards, and ginny has 210.

6 0

3 years ago

The science club at Jersey High School is sponsoring a dance to raise money for their spring project. They will charge $4 per st

Dennis_Churaev [7]

Answer: 195

Step-by-step explanation:

Cost per student = $4

Total number who attended = n

The cost of the total of student who attended will be cost per student multiplied by the total number of students, that is

Total cos = 4n

Since, they are to pay $140 , for publicity, then the total cost becomes

T = 4n - 140

From the last statement

4n - 140 ≥ 640

4n ≥ 640 + 140

4n ≥780

n ≥ 780/4

n ≥ 195

That means at least 195 students must attend if the science club is to earn at least $ 640

6 0

3 years ago