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3 years ago

How many times bigger is 10 to the 11th power than 10 to the 3rd power?

Mathematics

1 answer:

Lapatulllka [165]3 years ago

5 0

10^11 is 100,000,000,000

10^3 is 1000

1,10,100,1000,10000,100000,1000000,100000000,100000000000.

I think it might be 4 times bigger

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Marie's journal is 400 pages long. She has used 20% of the journal. How many pages has she used so far?

vitfil [10]

Answer:

40/ or /80

Step-by-step explanation:

Because 400 is a lot and if it's 100% is 400 right so we do 80% what would that be? we don't know right.

What about 100 pages that would be (im pretty sure) 40% or 50%.

I hope this helped!!!

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anyanavicka [17]

I think C Tell me if I’m wrong

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The y-intercept of g(x) in g(x) = 3x - 2 is (0,-2) (0,0) (2/3,0)

Dennis_Churaev [7]

For any y-intercept, the x-coordinate is zero. This is something to bear in mind to start with.

Now to find the y-intercept, find g(0) = -2.

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Sin(60-theta)sin(60+theta)

ehidna [41]

Step-by-step explanation:

$\sin(60 - \theta) \sin(60 + \theta) \\ = \{ \sin(60) \cos( \theta) - \sin( \theta) \cos(60) \} \{ \sin(60) \cos( \theta) + \cos(60) \sin( \theta) \} \\ = \{ \frac{ \sqrt{3} }{2} \cos( \theta) - \frac{1}{2} \sin( \theta) \} \{ \frac{ \sqrt{3} }{2} \cos( \theta) + \frac{1}{2} \sin( \theta) \} \\ \\$

from difference of two squares:

${ \boxed{(a - b)(a + b) = ( {a}^{2} - {b}^{2} ) }}$

therefore:

$= \{ {( \frac{ \sqrt{3} }{2}) }^{2} { \cos }^{2} \theta \} - \{ {( \frac{ \sqrt{3} }{2} )}^{2} { \sin }^{2} \theta \} \\ \\ = \frac{3}{4} { \cos }^{2} \theta - \frac{3}{4} { \sin}^{2} \theta$

factorise out ¾ :

$= \frac{3}{4} ( { \cos }^{2} \theta - { \sin}^{2} \theta) \\ \\ = { \boxed{ \frac{3}{4} \cos(2 \theta) }}$

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3 years ago

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