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ddd [48]
3 years ago
11

What is the exact value of sin(5π/12)? (please give steps)​

Mathematics
1 answer:
snow_tiger [21]3 years ago
7 0

Answer:

0.966053748

Step-by-step explanation:

\sin \bigg( \frac{5\pi}{12} \bigg) \\  =  \sin \bigg( \frac{5 \times 180 \degree}{12} \bigg) \\  =   \sin ( 5 \times 15 \degree) \\  =  \sin ( 75 \degree) \\  = \sin ( 45 \degree + 30 \degree) \\  = \sin  45 \degree  \times  \cos 30 \degree + \cos  45 \degree  \times  \sin 30 \degree \\  \\  =  \frac{1}{ \sqrt{2} }  \times   \frac{ \sqrt{3} }{2}  +  \frac{1}{ \sqrt{2} }  \times  \frac{1}{2}  \\  \\  =  \frac{ \sqrt{3} }{2 \sqrt{2} }  +  \frac{1}{2 \sqrt{2} }  \\  \\  =  \frac{ \sqrt{3}  + 1}{2 \sqrt{2} }  \\  \\  =  \frac{1.732 + 1}{2 \times 1.414}  \\  \\  =  \frac{2.732}{2.828}  \\  \\  = 0.966053748

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Identify the diameter of the circle. Then find the circumference. Round to two decimal places. (C = 2*pi*r)
sleet_krkn [62]

Answer:

diameter=22

circumference=22pi

Step-by-step explanation:

diameter=2*radius

so 2*11=22

circumference=2pi*r

=2*11*pi

=22pi

4 0
3 years ago
En que consiste la jerarquía de operaciones?
ruslelena [56]

Answer:

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Step-by-step explanation:

7 0
2 years ago
Answer ASAP 15 points
malfutka [58]
A or 5/7, they’re both odd numbers so it cannot be simplified any further
8 0
2 years ago
The volume of a rectangular prism whose dimensions are binomials with integer coefficients is modeled by the function V(x) = x^3
Levart [38]

Answer:

The missing dimension of the prism is (x-4)

Step-by-step explanation:

Here, we want to find the missing dimensions of the prism

To get the volume, we are to multiply three dimensions since we are talking about volume

Mathematically, to find the third dimension, we need to divide the original polynomial by the product of the two other dimensions

The product of the two other dimensions is;

(x-1)(x-9) = x^2-9x-x + 9

= x^2-10x+ 9

So we divide;

(x^3-14x^2+49x-36)/(x^2-10x+ 9)

We can use long division to get this

using long division, the answer here is x-4

5 0
2 years ago
Read 2 more answers
What is the solution?
azamat

Answer: The solution is (4, -4)

4 0
3 years ago
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