All categories

3 years ago

Find the exact value by using a half-angle identity. cosine of five pi divided by twelve.

Mathematics

1 answer:

BabaBlast [244]3 years ago

8 0

Answer:

-0.08333333333

Step-by-step explanation:

You might be interested in

Which equation is true

Llana [10]

A. All the others are false

7 0

3 years ago

If k and b are constant such that lim x approach infinity (kx+b-(x^3+1)/(x^2+1)=0. Find the values of k and b

Anna [14]

Combining the terms into one fraction, we have

$kx + b - \dfrac{x^3+1}{x^2+1} = \dfrac{(k-1)x^3 + bx^2 + kx + b - 1}{x^2+1}$

If this converges to 0 as $x\to\infty$ , then the degree of the numerator must be smaller than the degree of the denominator.

To ensure this, take $k=1$ and $b=0$ . This eliminates the cubic and quadratic terms in the numerator, and we do have

$\displaystyle \lim_{x\to\infty} \frac{x - 1}{x^2 + 1} = \lim_{x\to\infty} \frac{\frac1x - \frac1{x^2}}{1 + \frac1{x^2}} = 0$

Alternatively, we can compute the quotient and remainder of the rational expression.

$\dfrac{x^3+1}{x^2+1} = x - \dfrac{x-1}{x^2+1}$

Then in the limit, we have

$\displaystyle \lim_{x\to\infty} \left(kx + b - x + \frac{x-1}{x^2+1}\right) = (k-1) \lim_{x\to\infty} x + b = 0$

Both terms on the left vanish if $k=1$ and $b=0$ .

3 0

2 years ago

10. Which transformations result in a preimage and image with opposite orientations?

Airida [17]

Reflections and glide reflections both give you a transformation where the preimage and image have opposite orientations.

3 0

3 years ago

Read 2 more answers

ALL MY POINTS !!! (But 2 for 1)

Lynna [10]

Answer:

1. Jenny is 20 and Leo is 10 years old now

2. They'll meet at the 60th day after their last meeting on Monday

Step-by-step explanation:

Given

Let J represents Jenny and L represents Leo

From the question;

J = 2L ---- Now

J - 5 = 3(L - 5) --- 5 years ago

Required

Find J and L

Substitute 2L for J in the second equation.

This gives

2L - 5 = 3(L - 5)

Open bracket

2L - 5 = 3L - 15

Add 15 - 2L to both sides

2L - 5 + 15 - 2L = 3L - 15 + 15 - 2L

Collect like terms

2L - 2L - 5 + 15 = 3L - 2L - 15 + 15

10 = L

L = 10

Substitute 10 for L in J = 2L

J = 2 * 10

J = 20

Hence, Leo is currently 10 years old and Jenny is currently 20 years old.

2. Give

Liza = once every 6 days.

Jenny = once every 4 days

Olga = once every 10 days.

Required

When next will they meet

This question implied that the we get the least common factor of the given data.

Liza = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72.....

Jenny. = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64....

Olga = 10, 20, 30, 40, 50, 60, 70, 80....

From the above, 60 is the least common factor.

Hence, we'll conclude that they'll meet after 60 days.

5 0

3 years ago

Read 2 more answers

A baseball player comes up to bat 3 times during a league game. He either gets a hit or gets an out. What is the probability tha

KiRa [710]

Answer:

Since there are 2 possibilities for each bat (hit or out), the amount of total possibilities is 2 * 2 * 2 = 8. There is only one possibility out of those eight that gives us three hits, therefore the probability is 1 / 8 or 0.125.

4 0

3 years ago