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Step2247 [10]
3 years ago
6

Find the exact value, without a

Mathematics
1 answer:
Ghella [55]3 years ago
4 0

Answer:

√(2 + √3)/4

Step-by-step explanation:

Sine 5π/12 = Sine (5π/6)/2

Recall

π = 180°

Thus,

Sine (5π/6)/2 = Sine (5×180 /6)/2

= Sine 150/2

Recall

Sine θ/2 = √(1 – Cos θ)/2

Thus,

Sine 150/2 = √(1 – Cos 150)/2

But, Cosine is negative in the 2nd quadrant. Thus,

Cos 150 = – Cos 30 = –√3/2

Thus,

√(1 – Cos 150)/2 = √(1 – –√3/2 )/2

= √(1 + √3/2 )/2

= √[(2 + √3)/2 ÷ 2]

= √[(2 + √3)/2 × 1/2]

= √(2 + √3)/4

Therefore,

Sine 5π/12 = √(2 + √3)/4

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F(n)=4n <br> g(n)=n2+2n <br> find f(g(-6))
ELEN [110]

Answer:

When f(n) = 4n and g(n) = n² + 2n, f(g(-6)) = 96.

Step-by-step explanation:

To evaluate f(g(-6)), first find g(-6).

g(n) = n² + 2n

Substitute value.

g(-6) = (-6)² + 2(-6)

Square -6. Remember that (-x)² = x²

g(-6) = 36 + 2(-6)

Multiply 2 and -6.

g(-6) = 36 - 12

Subtract 12 from 36.

g(-6) = 24.

Now knowing this, substitute that value into f(n).

f(g(-6)) = f(24)

f(n) = 4n

Substitute value.

f(24) = 4(24)

Multiply 4 and 24.

f(24) = 96.

8 0
2 years ago
Determine the equation for the parabola graphed below
Elza [17]

Answer:

y=(x-2)^2-1

Step-by-step explanation:

The given function:

Since the function  is open upwards means is of y=x^2

And we can see one unit down and 2 units shifted on right in parent function.

Therefore, the function is of y=(x-2)^2-1

Graph takes parabola shape by quadratic function.

4 0
3 years ago
What's the q1 and q2????
Evgen [1.6K]

Answer:

Q1-298

Q2-422

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Martha and Janet each decide to invest $600 into different accounts. Martha's account earns $4.50 every month. Janet's account e
ehidna [41]

Answer:

<u>Janet's interest is $3.90 every month.</u>

Step-by-step explanation:

First, you need to set up a proportion to find Janet's interest:

0.65%/100 = x/600

Step 1: Cross-multiply.

0.65/100/100 = x/600

(0.65/100)*(600)=x*(100)

39/10=100x

Step 2: Flip the equation.

100x=39/10

Step 3: Divide both sides by 100.

100x/100=39/10/100

x=39/1000 (0.039)

Then move the decimal twice to the left to find the dollar amount:

0.039 ⇒ 3.90

Janet's interest is $3.90 every month.

HOPE THIS HELPS!!! <33333

-Silver

5 0
3 years ago
Read 2 more answers
15. A student received a 75% on an exam. If there were 20 questions on the exam, which ratio would show the number of questions
Juliette [100K]

Answer:

75% = 3/4

3/4 of 20 = 15

Ratio - 15:20 (A)

3 0
2 years ago
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