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2 years ago

226,710 - 724,435 = How to work this out without calculator

1 answer:

7 0

Okay so this is going to be confusing but work from right to left. since you can’t do 0-5, borrow from the one next to the zero on the top, cross out the one and put zero and add a one on top of the zero which makes it 10. now you can do 10-5 to get 5. put the five down below the line. next solve the second column of numbers ( second to the right). since you cannot do 0- 3, like the last one, you have to borrow from the 7 over to the left. take one from there and cross the seven out and put a six. now you have 10-3 which is 7. put the 7 down. now do move to the next column and do 6-2 to get 4. put the four down below the line. move to the next column and do 2-2 to get 0. put the zero down below the line. lastly, we know the answer has to be negative so we are going to do 2-7 to get -5. put -5 down below the line and together to get the answer -502,275. i know that was very confusing but i hope it helped a little bit. i added a picture to clarify a little

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Match each of the following complex numbers with its equivalent expression.

Yanka [14]

Answer:

Therefore

$i^{110}=-1$

$i^{92}=1$

$i^{245}=i$

$i^{347}=-i$

Step-by-step explanation:

Complex Number :

A complex number is a number that can be expressed in the form

$a + bi$

where a and b are real numbers, and

' i ' is called an imaginary number.

The value of i is given as

$i=\sqrt{-1}$

Squaring both the side we get

$i^{2}=(\sqrt{-1})^{2}\\\therefore i^{2}=-1$

Therefore on substituting we get

For i^110

$i^{110}=(i^{2})^{55}=(-1)^{55}=-1$

Similarly for i^92

$i^{92}=(i^{2})^{46}=(-1)^{46}=1$

Similarly for i^245

$i^{245}=(i^{2})^{122}\times i=(-1)^{122}\times i=1\times i =i$

Similarly for i^347

$i^{347}=(i^{2})^{173}\times i=(-1)^{173}\times i=-1\times i =-i$

Therefore

$i^{110}=-1$

$i^{92}=1$

$i^{245}=i$

$i^{347}=-i$

6 0

3 years ago

An equation of the circle whose center is the origin and

tankabanditka [31]

Answer:

$\fbox{\begin{minipage}{10em}Option C is correct\end{minipage}}$

Explanation:

A circle whose center is $(a, b)$ and radius $r$ , has equation:

$(x - a)^{2} + (y - b)^{2} = r^{2}$

The center of circle is given as origin $(0, 0)$ , therefore:

$a = 0\\b = 0$

This circle passes $(3, 0)$ , then the radius of circle is the distance $(d)$ between origin $(0, 0)$ and $(3, 0)$

$d = \sqrt{(0 - 3)^{2} + (0 - 0)^{2} } = \sqrt{3^{2} } = 3$

=> $r = d = 3$

Substitute $a$ , $b$ , and $r$ back into original equation:

$(x - 0)^{2} + (y - 0)^{2} = 3^{2}$

$x^{2} + y^{2} = 9$

Hope this helps!

3 0

3 years ago

Please Help!!<br> It's urgent :)

Paha777 [63]

Answer:

hope this helps

Step-by-step explanation:

For a.) I would do the simplist example possible and make all 3 angles equal. So you would divide 180° degrees by 3. This gives you 60° for each angle. That is still acute.

b.) complementary angles mean they add up to 90°

If one has to be greater than 45° you can so 68° and 22°.

c.) 100 - 10,10; 20,5; 50,2; 4,25

You can choose any pair for the length and width of the ones I put above. :)

d.) angle ABC can equal 32° and angle CBD can be 10°

8 0

3 years ago

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SpyIntel [72]

Answer:

Cube

X =8.25

Step-by-step explanation:

6 0

2 years ago

Which is smaller: 5 nanometers or 50 micrometers

lina2011 [118]

5 nanometers is smaller

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3 years ago

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