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svet-max [94.6K]
3 years ago
8

If the cos 30° = square root 3 over 2, then the sin 60° = _____.

Mathematics
2 answers:
jeyben [28]3 years ago
7 0

The square root of 3 over 2, because the angles are complementary.

kari74 [83]3 years ago
3 0
Using the special angles sin 60° is also root 3 over 2
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forsale [732]

Answer:

all real numbers

Step-by-step explanation:

5 0
3 years ago
6. What are the zeroes for the<br>function<br>f(x) = 2x3 + 12x – 10x2?<br>​
agasfer [191]

Answer:

<h2>x = 0, x = 5 + √13 and x = 5 - √13.</h2>

Step-by-step explanation:

f(x) = 2x^3 + 12x – 10x^2 can and should be rewritten in descending powers of x:  

f(x) = 2x^3 – 10x^2 + 12x

This, in turn, can be factored into f(x) = x·(x² - 10x + 12).

Setting this last result = to 0 results in f(x) = x·(x² - 10x + 12).

Thus, x = 0 is one root.  Two more roots come from x² - 10x + 12 = 0.

Let's "complete the square" to solve this equation.

Rewrite x² - 10x + 12 = 0  as  x² - 10x +              12 = 0.

a) Identify the coefficient of the x term.  It is -10.

b) take half of this result:  -5

c) square this last result:  (-5)² = 25.

d) Add this 25 to both sides of x² - 10x +              12 = 0:

     x² - 10x +  25      +      12 = 0 + 25

e) rewrite x² - 10x +  25 as the square of a binomial:

       (x - 5)² = 13

f)  taking the sqrt of both sides:  x - 5 = ±√13

g) write out the zeros:  x = 5 + √13 and x = 5 - √13.

The three roots are x = 0, x = 5 + √13 and x = 5 - √13.

8 0
3 years ago
What’s are the answers for both?
nevsk [136]

Answer:

<h2>d = 8</h2><h2>g = 2</h2>

Step-by-step explanation:

8d + 4 = 5d + 28

Group like terms

That's

8d - 5d = 28 - 4

3d = 24

Divide both sides by 3

d = 8

\frac{7(7g + 8)}{4}  = 38.5

Cross multiply

we have

7(7g + 8) = 38.5(4)

49g + 56 = 154

49g = 154 - 56

49g = 98

Divide both sides by 49

g = 2

Hope this helps you

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(5p+13p+9) I believe
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