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Westkost [7]
3 years ago
5

What is the best estimate for this product 81×409

Mathematics
2 answers:
Korolek [52]3 years ago
4 0
33,129 is the answer to your problem
marta [7]3 years ago
3 0
33,129!!!would be the answer
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I just need some help solving this question, i’m not sure what to do
KonstantinChe [14]

From the double-angle identity,

cos2x=2*sinx*cosx

we can rewritte our given equation as:

4sinxcosx-2cosx=0

By factoring 2cosx on the left hand side, we have

2cosx(2sinx-1)=0

This equation has 2 solutions when

\begin{gathered} cosx=0\text{ ...\lparen A\rparen} \\ and \\ 2sinx-1=0\text{ ...\lparen B\rparen} \end{gathered}

From equation (A), we obtain

x=\frac{\pi}{2}\text{ or }\frac{3\pi}{2}

and from equation (B), we have

\begin{gathered} sinx=\frac{1}{2} \\ which\text{ gives} \\ x=\frac{\pi}{6}\text{ or }\frac{5\pi}{6} \end{gathered}

On the other hand, we can find one more solution from the original equation by substituting x=0, that is,

\begin{gathered} 2ccos(2\times0)-2cos0=0 \\ which\text{ gives} \\ 2\times1-2\times1=0 \\ so\text{ 0=0} \end{gathered}

then, x=0 is another solution. In summary, we have obtained the following solutions:

\begin{gathered} x=0 \\ x=\frac{\pi}{2}\text{or}\frac{3\pi}{2}\text{ and } \\ x=\frac{\pi}{6}\text{or}\frac{5\pi}{6} \end{gathered}

However, the intersection of the last set is empty. So the unique solution is x=0 as we can corroborate on the following picture:

Therefore, the solution set is: {0}

7 0
1 year ago
Which expression doesn't belong? Why does it not belong? A. 7.9x B. 7.9 · (-10) C. 7.9 + x D. - 79
motikmotik

Answer:

C. 7.9 + x

Step-by-step explanation:

Given - A. 7.9x  B. 7.9 · (-10)  C. 7.9 + x  D. - 79

To find - Which expression doesn't belong? Why does it not belong?

Proof -

As given

A.  7.9x

B. 7.9·(-10)

C. 7.9 + x

D. -79

As we can see that Option A, B, D are the multiple of 7.9 but Option C is not the multiple of 7.9

So, Option C does not belong here.

∴ we get

The correct answer is - C. 7.9 + x

7 0
3 years ago
ASAP!!!! Which is an algebraic expression for 5 more than z?
PolarNik [594]

Answer: b. Z+5

Step-by-step explanation:

B. Z+5

Let’s say z was 9

The only equation that would work to find 5 more that 9 is 9+5

6 0
3 years ago
4/9 expressed as a percent is
Elan Coil [88]
44.44% is the answer because 4/9 = .4444444 so you would multiply by 100 to get the percent which is 44.44%
4 0
4 years ago
Read 2 more answers
120÷0.2=?<br> What would be the correct answer and correct way to solve
Vanyuwa [196]

Answer:

600

Step-by-step

Think of 0.2 as just 2, if you were to divide 120 by 2 it is simple to solve, the answer is 60, now go back to 120 ÷ 0.2. The best way to think about this is to take the 0 from 0.2 and add it to your answer of 60 sense 0.2 is in the tenths place.

4 0
3 years ago
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