Can you help me? sin 35 (degrees) Thanks!

1 answer:

8 0

OK, here's a *very* approximate "creative" method:

sin(a+b)=sin(a)cos(b) + cos(a)sin(b) 

choose a=30deg and b=5deg 
- sin(a)=0.5 (exact)
- b is a small number so we say sin(b)~b (in radians). We can do a long division for this: 3.14/36 = 0.087 radians
- similarly, for b sufficiently small, cos(b)~1
- now we only need cos(a) = sqrt(3)/2. We can approximately calculate sqrt(3) as 1.73, (by trial-and-error or better, by using the Babylonian method; so sqrt(3)/2 = 0.865 

Finally, sin(30 + 5) = (0.5 x 1) + (0.087 x 0.865) = 0.575 (calculating more digits is of no use because the sin(b)=b and cos(b)=1 are quite inaccurate approximations). 

So that wasn't all too much effort, and we're close to the correct answer (0.574)

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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How much money will you have if you started with $1200 and put it in an account that earned 7.3% every year for 10 years?

andrezito [222]

So an exponential equation is gonna be used for this problem. The formula for such is $y=ab^x$ , in which the a variable is the initial value and the b variable is the growth/decay rate.

For this situation, 1200 is gonna be your a variable since you've started out with it. And as for your b variable, its gonna be 107.3%, or 1.073, since it's increasing.

Your equation should look like this: $y=1200(1.073)^x$ and from here just plug in 10 into the x variable and solve.

Multiply (1.073)^10 (don't round answers until the end), and take that answer and multiply it with 1200, your answer should be $2427.61.

$y=1200(1.073)^{10} \\ y=2427.61$

8 0

3 years ago

12. 8+ 6^2_11 + 7 x 2

Rudiy27

Answer:

$\frac{8 + {6}^{2} }{11} + 7 \times 2 \\ \\ \frac{8 + 6 \times 6}{11} + 7 \times 2 \\ \\ = \frac{8 + 36}{11} + 7 \times 2 \\ \\ = \frac{44}{11} + 7 \times 2 \\ \\ = 4 + 14 \\ \\ = 18$